%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN465+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.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 13:53:08 EDT 2022 % Result : Theorem 0.92s 1.08s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN465+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n008.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jul 12 04:14:23 EDT 2022 % 0.12/0.34 % CPUTime : % 0.92/1.08 (* PROOF-FOUND *) % 0.92/1.08 % SZS status Theorem % 0.92/1.08 (* BEGIN-PROOF *) % 0.92/1.08 % SZS output start Proof % 0.92/1.08 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a1))/\((~(c1_1 (a1)))/\(~(c2_1 (a1)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a4))/\((c2_1 (a4))/\(~(c1_1 (a4)))))))/\(((~(hskp2))\/((ndr1_0)/\((c2_1 (a5))/\((~(c0_1 (a5)))/\(~(c1_1 (a5)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a6))/\((c3_1 (a6))/\(~(c2_1 (a6)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a7))/\((c3_1 (a7))/\(~(c0_1 (a7)))))))/\(((~(hskp5))\/((ndr1_0)/\((~(c0_1 (a9)))/\((~(c1_1 (a9)))/\(~(c2_1 (a9)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))))/\(((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a32))/\((c2_1 (a32))/\(~(c3_1 (a32)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a40)))/\((~(c2_1 (a40)))/\(~(c3_1 (a40)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))))/\(((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))))/\(((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a57)))/\((~(c1_1 (a57)))/\(~(c3_1 (a57)))))))/\(((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp28)\/(hskp0)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp0)\/(hskp9)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((hskp17)\/(hskp18)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp22)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c2_1 X63)\/(~(c3_1 X63))))))\/((hskp17)\/(hskp6)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp28)\/(hskp26)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp17)))/\(((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp28)\/(hskp7)))/\(((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16))/\(((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp28)\/(hskp9)))/\(((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp0)\/(hskp2)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp12)\/(hskp26)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24)))/\(((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp28)\/(hskp31)))/\(((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13)))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9)))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2)))/\(((hskp31)\/((hskp12)\/(hskp24)))/\(((hskp7)\/((hskp30)\/(hskp26)))/\(((hskp3)\/((hskp2)\/(hskp13)))/\(((hskp3)\/((hskp27)\/(hskp26)))/\(((hskp12)\/((hskp6)\/(hskp27)))/\((hskp21)\/((hskp24)\/(hskp5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.92/1.08 Proof. % 0.92/1.08 assert (zenon_L1_ : (~(hskp21)) -> (hskp21) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1 zenon_H2. % 0.92/1.08 exact (zenon_H1 zenon_H2). % 0.92/1.08 (* end of lemma zenon_L1_ *) % 0.92/1.08 assert (zenon_L2_ : (~(hskp24)) -> (hskp24) -> False). % 0.92/1.08 do 0 intro. intros zenon_H3 zenon_H4. % 0.92/1.08 exact (zenon_H3 zenon_H4). % 0.92/1.08 (* end of lemma zenon_L2_ *) % 0.92/1.08 assert (zenon_L3_ : (~(hskp5)) -> (hskp5) -> False). % 0.92/1.08 do 0 intro. intros zenon_H5 zenon_H6. % 0.92/1.08 exact (zenon_H5 zenon_H6). % 0.92/1.08 (* end of lemma zenon_L3_ *) % 0.92/1.08 assert (zenon_L4_ : ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp21)) -> (~(hskp24)) -> (~(hskp5)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.92/1.08 exact (zenon_H1 zenon_H2). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.92/1.08 exact (zenon_H3 zenon_H4). % 0.92/1.08 exact (zenon_H5 zenon_H6). % 0.92/1.08 (* end of lemma zenon_L4_ *) % 0.92/1.08 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.92/1.08 do 0 intro. intros zenon_H9 zenon_Ha. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 (* end of lemma zenon_L5_ *) % 0.92/1.08 assert (zenon_L6_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.92/1.08 generalize (zenon_Hb (a52)). zenon_intro zenon_Hf. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.92/1.08 exact (zenon_Hc zenon_H12). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.92/1.08 exact (zenon_Hd zenon_H14). % 0.92/1.08 exact (zenon_H13 zenon_He). % 0.92/1.08 (* end of lemma zenon_L6_ *) % 0.92/1.08 assert (zenon_L7_ : (~(hskp30)) -> (hskp30) -> False). % 0.92/1.08 do 0 intro. intros zenon_H15 zenon_H16. % 0.92/1.08 exact (zenon_H15 zenon_H16). % 0.92/1.08 (* end of lemma zenon_L7_ *) % 0.92/1.08 assert (zenon_L8_ : (~(hskp11)) -> (hskp11) -> False). % 0.92/1.08 do 0 intro. intros zenon_H17 zenon_H18. % 0.92/1.08 exact (zenon_H17 zenon_H18). % 0.92/1.08 (* end of lemma zenon_L8_ *) % 0.92/1.08 assert (zenon_L9_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp11)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.92/1.08 apply (zenon_L6_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.92/1.08 exact (zenon_H15 zenon_H16). % 0.92/1.08 exact (zenon_H17 zenon_H18). % 0.92/1.08 (* end of lemma zenon_L9_ *) % 0.92/1.08 assert (zenon_L10_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c1_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1b zenon_Ha zenon_H1c zenon_H1d zenon_H1e. % 0.92/1.08 generalize (zenon_H1b (a20)). zenon_intro zenon_H1f. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H9 | zenon_intro zenon_H20 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.92/1.08 exact (zenon_H22 zenon_H1c). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.92/1.08 exact (zenon_H24 zenon_H1d). % 0.92/1.08 exact (zenon_H23 zenon_H1e). % 0.92/1.08 (* end of lemma zenon_L10_ *) % 0.92/1.08 assert (zenon_L11_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c2_1 (a20)) -> (c3_1 (a20)) -> (c0_1 (a20)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H25 zenon_Ha zenon_H1b zenon_H1d zenon_H1e zenon_H26. % 0.92/1.08 generalize (zenon_H25 (a20)). zenon_intro zenon_H27. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H9 | zenon_intro zenon_H28 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H1c | zenon_intro zenon_H29 ]. % 0.92/1.08 apply (zenon_L10_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ]. % 0.92/1.08 exact (zenon_H2a zenon_H26). % 0.92/1.08 exact (zenon_H23 zenon_H1e). % 0.92/1.08 (* end of lemma zenon_L11_ *) % 0.92/1.08 assert (zenon_L12_ : (~(hskp12)) -> (hskp12) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2b zenon_H2c. % 0.92/1.08 exact (zenon_H2b zenon_H2c). % 0.92/1.08 (* end of lemma zenon_L12_ *) % 0.92/1.08 assert (zenon_L13_ : (~(hskp2)) -> (hskp2) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2d zenon_H2e. % 0.92/1.08 exact (zenon_H2d zenon_H2e). % 0.92/1.08 (* end of lemma zenon_L13_ *) % 0.92/1.08 assert (zenon_L14_ : (~(hskp8)) -> (hskp8) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2f zenon_H30. % 0.92/1.08 exact (zenon_H2f zenon_H30). % 0.92/1.08 (* end of lemma zenon_L14_ *) % 0.92/1.08 assert (zenon_L15_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp2)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp8)) -> (~(hskp21)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H31 zenon_H32 zenon_H2d zenon_H2b zenon_H33 zenon_H2f zenon_H1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1b | zenon_intro zenon_H37 ]. % 0.92/1.08 apply (zenon_L11_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.92/1.08 exact (zenon_H2b zenon_H2c). % 0.92/1.08 exact (zenon_H2d zenon_H2e). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ]. % 0.92/1.08 exact (zenon_H2f zenon_H30). % 0.92/1.08 exact (zenon_H1 zenon_H2). % 0.92/1.08 (* end of lemma zenon_L15_ *) % 0.92/1.08 assert (zenon_L16_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H38 zenon_H32 zenon_H1 zenon_H2f zenon_H2b zenon_H2d zenon_H33 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.08 apply (zenon_L9_); trivial. % 0.92/1.08 apply (zenon_L15_); trivial. % 0.92/1.08 (* end of lemma zenon_L16_ *) % 0.92/1.08 assert (zenon_L17_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H39 zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 0.92/1.08 generalize (zenon_H39 (a39)). zenon_intro zenon_H3d. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H3e ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.92/1.08 exact (zenon_H3a zenon_H40). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.92/1.08 exact (zenon_H3b zenon_H42). % 0.92/1.08 exact (zenon_H41 zenon_H3c). % 0.92/1.08 (* end of lemma zenon_L17_ *) % 0.92/1.08 assert (zenon_L18_ : (~(hskp15)) -> (hskp15) -> False). % 0.92/1.08 do 0 intro. intros zenon_H43 zenon_H44. % 0.92/1.08 exact (zenon_H43 zenon_H44). % 0.92/1.08 (* end of lemma zenon_L18_ *) % 0.92/1.08 assert (zenon_L19_ : (~(hskp16)) -> (hskp16) -> False). % 0.92/1.08 do 0 intro. intros zenon_H45 zenon_H46. % 0.92/1.08 exact (zenon_H45 zenon_H46). % 0.92/1.08 (* end of lemma zenon_L19_ *) % 0.92/1.08 assert (zenon_L20_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp16)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H47 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H43 zenon_H45. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ]. % 0.92/1.08 apply (zenon_L17_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ]. % 0.92/1.08 exact (zenon_H43 zenon_H44). % 0.92/1.08 exact (zenon_H45 zenon_H46). % 0.92/1.08 (* end of lemma zenon_L20_ *) % 0.92/1.08 assert (zenon_L21_ : ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp31)) -> (~(hskp12)) -> (~(hskp24)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H49 zenon_H4a zenon_H2b zenon_H3. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.92/1.08 exact (zenon_H4a zenon_H4c). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H2c | zenon_intro zenon_H4 ]. % 0.92/1.08 exact (zenon_H2b zenon_H2c). % 0.92/1.08 exact (zenon_H3 zenon_H4). % 0.92/1.08 (* end of lemma zenon_L21_ *) % 0.92/1.08 assert (zenon_L22_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c0_1 (a76)) -> (c1_1 (a76)) -> (c3_1 (a76)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H4d zenon_Ha zenon_H4e zenon_H4f zenon_H50. % 0.92/1.08 generalize (zenon_H4d (a76)). zenon_intro zenon_H51. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H9 | zenon_intro zenon_H52 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.92/1.08 exact (zenon_H54 zenon_H4e). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.92/1.08 exact (zenon_H56 zenon_H4f). % 0.92/1.08 exact (zenon_H55 zenon_H50). % 0.92/1.08 (* end of lemma zenon_L22_ *) % 0.92/1.08 assert (zenon_L23_ : (~(hskp14)) -> (hskp14) -> False). % 0.92/1.08 do 0 intro. intros zenon_H57 zenon_H58. % 0.92/1.08 exact (zenon_H57 zenon_H58). % 0.92/1.08 (* end of lemma zenon_L23_ *) % 0.92/1.08 assert (zenon_L24_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H59 zenon_H5a zenon_H57 zenon_H3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H4d | zenon_intro zenon_H5d ]. % 0.92/1.08 apply (zenon_L22_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 0.92/1.08 exact (zenon_H57 zenon_H58). % 0.92/1.08 exact (zenon_H3 zenon_H4). % 0.92/1.08 (* end of lemma zenon_L24_ *) % 0.92/1.08 assert (zenon_L25_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H3 zenon_H49. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.08 apply (zenon_L21_); trivial. % 0.92/1.08 apply (zenon_L24_); trivial. % 0.92/1.08 (* end of lemma zenon_L25_ *) % 0.92/1.08 assert (zenon_L26_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H5f zenon_H38 zenon_H32 zenon_H1 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.08 apply (zenon_L25_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.08 apply (zenon_L16_); trivial. % 0.92/1.08 (* end of lemma zenon_L26_ *) % 0.92/1.08 assert (zenon_L27_ : (forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H63 zenon_Ha zenon_H64 zenon_H65 zenon_H66. % 0.92/1.08 generalize (zenon_H63 (a30)). zenon_intro zenon_H67. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H9 | zenon_intro zenon_H68 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 0.92/1.08 exact (zenon_H64 zenon_H6a). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.92/1.08 exact (zenon_H6c zenon_H65). % 0.92/1.08 exact (zenon_H6b zenon_H66). % 0.92/1.08 (* end of lemma zenon_L27_ *) % 0.92/1.08 assert (zenon_L28_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp8)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H6d zenon_H6e zenon_H66 zenon_H65 zenon_H64 zenon_H2f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L17_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.08 apply (zenon_L27_); trivial. % 0.92/1.08 exact (zenon_H2f zenon_H30). % 0.92/1.08 (* end of lemma zenon_L28_ *) % 0.92/1.08 assert (zenon_L29_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H72 zenon_H6e zenon_H66 zenon_H65 zenon_H64 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19 zenon_H17 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.08 apply (zenon_L26_); trivial. % 0.92/1.08 apply (zenon_L28_); trivial. % 0.92/1.08 (* end of lemma zenon_L29_ *) % 0.92/1.08 assert (zenon_L30_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H73 zenon_Ha zenon_H74 zenon_H75 zenon_H76 zenon_H77. % 0.92/1.08 generalize (zenon_H73 (a29)). zenon_intro zenon_H78. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H79 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.92/1.08 exact (zenon_H74 zenon_H7b). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 0.92/1.08 generalize (zenon_H75 (a29)). zenon_intro zenon_H7e. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H7e); [ zenon_intro zenon_H9 | zenon_intro zenon_H7f ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.92/1.08 exact (zenon_H7d zenon_H81). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H7c ]. % 0.92/1.08 exact (zenon_H76 zenon_H82). % 0.92/1.08 exact (zenon_H7c zenon_H77). % 0.92/1.08 exact (zenon_H7c zenon_H77). % 0.92/1.08 (* end of lemma zenon_L30_ *) % 0.92/1.08 assert (zenon_L31_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H83 zenon_He zenon_Hd zenon_Hc zenon_H77 zenon_H76 zenon_H75 zenon_H74 zenon_Ha zenon_H5. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_Hb | zenon_intro zenon_H84 ]. % 0.92/1.08 apply (zenon_L6_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H73 | zenon_intro zenon_H6 ]. % 0.92/1.08 apply (zenon_L30_); trivial. % 0.92/1.08 exact (zenon_H5 zenon_H6). % 0.92/1.08 (* end of lemma zenon_L31_ *) % 0.92/1.08 assert (zenon_L32_ : (~(hskp7)) -> (hskp7) -> False). % 0.92/1.08 do 0 intro. intros zenon_H85 zenon_H86. % 0.92/1.08 exact (zenon_H85 zenon_H86). % 0.92/1.08 (* end of lemma zenon_L32_ *) % 0.92/1.08 assert (zenon_L33_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H5f zenon_H87 zenon_H2f zenon_H85 zenon_H74 zenon_H76 zenon_H77 zenon_H5 zenon_H83 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.08 apply (zenon_L25_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ]. % 0.92/1.08 apply (zenon_L31_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H86 | zenon_intro zenon_H30 ]. % 0.92/1.08 exact (zenon_H85 zenon_H86). % 0.92/1.08 exact (zenon_H2f zenon_H30). % 0.92/1.08 (* end of lemma zenon_L33_ *) % 0.92/1.08 assert (zenon_L34_ : (~(hskp29)) -> (hskp29) -> False). % 0.92/1.08 do 0 intro. intros zenon_H89 zenon_H8a. % 0.92/1.08 exact (zenon_H89 zenon_H8a). % 0.92/1.08 (* end of lemma zenon_L34_ *) % 0.92/1.08 assert (zenon_L35_ : (~(hskp19)) -> (hskp19) -> False). % 0.92/1.08 do 0 intro. intros zenon_H8b zenon_H8c. % 0.92/1.08 exact (zenon_H8b zenon_H8c). % 0.92/1.08 (* end of lemma zenon_L35_ *) % 0.92/1.08 assert (zenon_L36_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp29)) -> (~(hskp19)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H59 zenon_H8d zenon_H89 zenon_H8b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4d | zenon_intro zenon_H8e ]. % 0.92/1.08 apply (zenon_L22_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H8a | zenon_intro zenon_H8c ]. % 0.92/1.08 exact (zenon_H89 zenon_H8a). % 0.92/1.08 exact (zenon_H8b zenon_H8c). % 0.92/1.08 (* end of lemma zenon_L36_ *) % 0.92/1.08 assert (zenon_L37_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp29)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H5e zenon_H8d zenon_H8b zenon_H89 zenon_H2b zenon_H3 zenon_H49. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.08 apply (zenon_L21_); trivial. % 0.92/1.08 apply (zenon_L36_); trivial. % 0.92/1.08 (* end of lemma zenon_L37_ *) % 0.92/1.08 assert (zenon_L38_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c1_1 (a8)) -> (c2_1 (a8)) -> (c3_1 (a8)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1b zenon_Ha zenon_H8f zenon_H90 zenon_H91. % 0.92/1.08 generalize (zenon_H1b (a8)). zenon_intro zenon_H92. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H92); [ zenon_intro zenon_H9 | zenon_intro zenon_H93 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 0.92/1.08 exact (zenon_H95 zenon_H8f). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 0.92/1.08 exact (zenon_H97 zenon_H90). % 0.92/1.08 exact (zenon_H96 zenon_H91). % 0.92/1.08 (* end of lemma zenon_L38_ *) % 0.92/1.08 assert (zenon_L39_ : (~(hskp25)) -> (hskp25) -> False). % 0.92/1.08 do 0 intro. intros zenon_H98 zenon_H99. % 0.92/1.08 exact (zenon_H98 zenon_H99). % 0.92/1.08 (* end of lemma zenon_L39_ *) % 0.92/1.08 assert (zenon_L40_ : (~(hskp9)) -> (hskp9) -> False). % 0.92/1.08 do 0 intro. intros zenon_H9a zenon_H9b. % 0.92/1.08 exact (zenon_H9a zenon_H9b). % 0.92/1.08 (* end of lemma zenon_L40_ *) % 0.92/1.08 assert (zenon_L41_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> (~(hskp9)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H9c zenon_H9d zenon_H98 zenon_H9a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1b | zenon_intro zenon_Ha0 ]. % 0.92/1.08 apply (zenon_L38_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 0.92/1.08 exact (zenon_H98 zenon_H99). % 0.92/1.08 exact (zenon_H9a zenon_H9b). % 0.92/1.08 (* end of lemma zenon_L41_ *) % 0.92/1.08 assert (zenon_L42_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Ha1 zenon_H9d zenon_H9a zenon_H98 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.08 apply (zenon_L37_); trivial. % 0.92/1.08 apply (zenon_L41_); trivial. % 0.92/1.08 (* end of lemma zenon_L42_ *) % 0.92/1.08 assert (zenon_L43_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H25 zenon_Ha zenon_Ha2 zenon_Ha3 zenon_Ha4. % 0.92/1.08 generalize (zenon_H25 (a54)). zenon_intro zenon_Ha5. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha6 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.92/1.08 exact (zenon_Ha2 zenon_Ha8). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 0.92/1.08 exact (zenon_Haa zenon_Ha3). % 0.92/1.08 exact (zenon_Ha9 zenon_Ha4). % 0.92/1.08 (* end of lemma zenon_L43_ *) % 0.92/1.08 assert (zenon_L44_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp21)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hab zenon_H32 zenon_H2f zenon_H1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ]. % 0.92/1.08 apply (zenon_L43_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ]. % 0.92/1.08 exact (zenon_H2f zenon_H30). % 0.92/1.08 exact (zenon_H1 zenon_H2). % 0.92/1.08 (* end of lemma zenon_L44_ *) % 0.92/1.08 assert (zenon_L45_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hae zenon_H32 zenon_H1 zenon_H2f zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H3 zenon_H49 zenon_H9a zenon_H9d zenon_Ha1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.08 apply (zenon_L42_); trivial. % 0.92/1.08 apply (zenon_L44_); trivial. % 0.92/1.08 (* end of lemma zenon_L45_ *) % 0.92/1.08 assert (zenon_L46_ : (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Haf zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.08 generalize (zenon_Haf (a20)). zenon_intro zenon_Hb0. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb1 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H2a | zenon_intro zenon_H21 ]. % 0.92/1.08 exact (zenon_H2a zenon_H26). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.92/1.08 exact (zenon_H24 zenon_H1d). % 0.92/1.08 exact (zenon_H23 zenon_H1e). % 0.92/1.08 (* end of lemma zenon_L46_ *) % 0.92/1.08 assert (zenon_L47_ : (~(hskp13)) -> (hskp13) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hb2 zenon_Hb3. % 0.92/1.08 exact (zenon_Hb2 zenon_Hb3). % 0.92/1.08 (* end of lemma zenon_L47_ *) % 0.92/1.08 assert (zenon_L48_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp15)) -> (~(hskp13)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H31 zenon_Hb4 zenon_H43 zenon_Hb2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ]. % 0.92/1.08 apply (zenon_L46_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H44 | zenon_intro zenon_Hb3 ]. % 0.92/1.08 exact (zenon_H43 zenon_H44). % 0.92/1.08 exact (zenon_Hb2 zenon_Hb3). % 0.92/1.08 (* end of lemma zenon_L48_ *) % 0.92/1.08 assert (zenon_L49_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H60 zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H43 zenon_H17 zenon_H19. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.08 apply (zenon_L9_); trivial. % 0.92/1.08 apply (zenon_L48_); trivial. % 0.92/1.08 (* end of lemma zenon_L49_ *) % 0.92/1.08 assert (zenon_L50_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> (~(hskp16)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H6d zenon_H47 zenon_H43 zenon_H45. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.08 apply (zenon_L20_); trivial. % 0.92/1.08 (* end of lemma zenon_L50_ *) % 0.92/1.08 assert (zenon_L51_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H9a zenon_H9d zenon_Ha1 zenon_H19 zenon_H17 zenon_H43 zenon_Hb2 zenon_Hb4 zenon_H38 zenon_H5f. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.08 apply (zenon_L45_); trivial. % 0.92/1.08 apply (zenon_L49_); trivial. % 0.92/1.08 apply (zenon_L50_); trivial. % 0.92/1.08 (* end of lemma zenon_L51_ *) % 0.92/1.08 assert (zenon_L52_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hb6 zenon_Ha zenon_Hb7 zenon_Hb8 zenon_Hb9. % 0.92/1.08 generalize (zenon_Hb6 (a35)). zenon_intro zenon_Hba. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbb ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.92/1.08 exact (zenon_Hb7 zenon_Hbd). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.92/1.08 exact (zenon_Hb8 zenon_Hbf). % 0.92/1.08 exact (zenon_Hbe zenon_Hb9). % 0.92/1.08 (* end of lemma zenon_L52_ *) % 0.92/1.08 assert (zenon_L53_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hc0 zenon_H2b zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ]. % 0.92/1.08 apply (zenon_L52_); trivial. % 0.92/1.08 exact (zenon_H2b zenon_H2c). % 0.92/1.08 (* end of lemma zenon_L53_ *) % 0.92/1.08 assert (zenon_L54_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hc1 zenon_Hc0 zenon_H2b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.08 apply (zenon_L53_); trivial. % 0.92/1.08 (* end of lemma zenon_L54_ *) % 0.92/1.08 assert (zenon_L55_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H43 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H45 zenon_H47 zenon_H72. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.08 apply (zenon_L51_); trivial. % 0.92/1.08 apply (zenon_L54_); trivial. % 0.92/1.08 (* end of lemma zenon_L55_ *) % 0.92/1.08 assert (zenon_L56_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hc5 zenon_Ha zenon_Hc6 zenon_Hc7 zenon_Hc8. % 0.92/1.08 generalize (zenon_Hc5 (a28)). zenon_intro zenon_Hc9. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hc9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hca ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 0.92/1.08 exact (zenon_Hc6 zenon_Hcc). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.92/1.08 exact (zenon_Hce zenon_Hc7). % 0.92/1.08 exact (zenon_Hcd zenon_Hc8). % 0.92/1.08 (* end of lemma zenon_L56_ *) % 0.92/1.08 assert (zenon_L57_ : (~(hskp20)) -> (hskp20) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hcf zenon_Hd0. % 0.92/1.08 exact (zenon_Hcf zenon_Hd0). % 0.92/1.08 (* end of lemma zenon_L57_ *) % 0.92/1.08 assert (zenon_L58_ : (~(hskp4)) -> (hskp4) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hd1 zenon_Hd2. % 0.92/1.08 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.08 (* end of lemma zenon_L58_ *) % 0.92/1.08 assert (zenon_L59_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp4)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hd3 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Ha zenon_Hcf zenon_Hd1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hd4 ]. % 0.92/1.08 apply (zenon_L56_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd2 ]. % 0.92/1.08 exact (zenon_Hcf zenon_Hd0). % 0.92/1.08 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.08 (* end of lemma zenon_L59_ *) % 0.92/1.08 assert (zenon_L60_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a36))) -> (c0_1 (a36)) -> (c1_1 (a36)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hd5 zenon_Ha zenon_Hd6 zenon_Hd7 zenon_Hd8. % 0.92/1.08 generalize (zenon_Hd5 (a36)). zenon_intro zenon_Hd9. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hda ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.92/1.08 exact (zenon_Hd6 zenon_Hdc). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ]. % 0.92/1.08 exact (zenon_Hde zenon_Hd7). % 0.92/1.08 exact (zenon_Hdd zenon_Hd8). % 0.92/1.08 (* end of lemma zenon_L60_ *) % 0.92/1.08 assert (zenon_L61_ : ((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hdf zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Ha. zenon_intro zenon_He1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ]. % 0.92/1.08 apply (zenon_L27_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ]. % 0.92/1.08 apply (zenon_L60_); trivial. % 0.92/1.08 exact (zenon_H43 zenon_H44). % 0.92/1.08 (* end of lemma zenon_L61_ *) % 0.92/1.08 assert (zenon_L62_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> False). % 0.92/1.08 do 0 intro. intros zenon_He4 zenon_He5 zenon_He0 zenon_H43 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ]. % 0.92/1.08 apply (zenon_L59_); trivial. % 0.92/1.08 apply (zenon_L61_); trivial. % 0.92/1.08 (* end of lemma zenon_L62_ *) % 0.92/1.08 assert (zenon_L63_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> False). % 0.92/1.08 do 0 intro. intros zenon_He8 zenon_Ha zenon_H76 zenon_H74 zenon_H77. % 0.92/1.08 generalize (zenon_He8 (a29)). zenon_intro zenon_He9. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hea ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H82 | zenon_intro zenon_Heb ]. % 0.92/1.08 exact (zenon_H76 zenon_H82). % 0.92/1.08 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 0.92/1.08 exact (zenon_H74 zenon_H7b). % 0.92/1.08 exact (zenon_H7c zenon_H77). % 0.92/1.08 (* end of lemma zenon_L63_ *) % 0.92/1.08 assert (zenon_L64_ : (~(hskp3)) -> (hskp3) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hec zenon_Hed. % 0.92/1.08 exact (zenon_Hec zenon_Hed). % 0.92/1.08 (* end of lemma zenon_L64_ *) % 0.92/1.08 assert (zenon_L65_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp3)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hee zenon_H77 zenon_H74 zenon_H76 zenon_Ha zenon_H98 zenon_Hec. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He8 | zenon_intro zenon_Hef ]. % 0.92/1.08 apply (zenon_L63_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H99 | zenon_intro zenon_Hed ]. % 0.92/1.08 exact (zenon_H98 zenon_H99). % 0.92/1.08 exact (zenon_Hec zenon_Hed). % 0.92/1.08 (* end of lemma zenon_L65_ *) % 0.92/1.08 assert (zenon_L66_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hae zenon_H32 zenon_H1 zenon_H2f zenon_Ha zenon_H76 zenon_H74 zenon_H77 zenon_Hec zenon_Hee. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.08 apply (zenon_L65_); trivial. % 0.92/1.08 apply (zenon_L44_); trivial. % 0.92/1.08 (* end of lemma zenon_L66_ *) % 0.92/1.08 assert (zenon_L67_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp13)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H6d zenon_Hf0 zenon_H77 zenon_H74 zenon_H76 zenon_Hb2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf1 ]. % 0.92/1.08 apply (zenon_L17_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He8 | zenon_intro zenon_Hb3 ]. % 0.92/1.08 apply (zenon_L63_); trivial. % 0.92/1.08 exact (zenon_Hb2 zenon_Hb3). % 0.92/1.08 (* end of lemma zenon_L67_ *) % 0.92/1.08 assert (zenon_L68_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.08 apply (zenon_L66_); trivial. % 0.92/1.08 apply (zenon_L67_); trivial. % 0.92/1.08 (* end of lemma zenon_L68_ *) % 0.92/1.08 assert (zenon_L69_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf5 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.08 apply (zenon_L55_); trivial. % 0.92/1.08 apply (zenon_L62_); trivial. % 0.92/1.08 apply (zenon_L68_); trivial. % 0.92/1.08 (* end of lemma zenon_L69_ *) % 0.92/1.08 assert (zenon_L70_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19 zenon_H17 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.08 apply (zenon_L26_); trivial. % 0.92/1.08 apply (zenon_L50_); trivial. % 0.92/1.08 (* end of lemma zenon_L70_ *) % 0.92/1.08 assert (zenon_L71_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H43 zenon_H47 zenon_H72. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L70_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_L29_); trivial. % 0.92/1.09 (* end of lemma zenon_L71_ *) % 0.92/1.09 assert (zenon_L72_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H87 zenon_H2f zenon_H85 zenon_H5 zenon_H83 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_L33_); trivial. % 0.92/1.09 (* end of lemma zenon_L72_ *) % 0.92/1.09 assert (zenon_L73_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H87 zenon_H85 zenon_H5 zenon_H83 zenon_H72 zenon_H47 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19 zenon_H17 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f zenon_H6e zenon_Hf6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_L71_); trivial. % 0.92/1.09 apply (zenon_L72_); trivial. % 0.92/1.09 (* end of lemma zenon_L73_ *) % 0.92/1.09 assert (zenon_L74_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a26))) -> (~(c1_1 (a26))) -> (c3_1 (a26)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf7 zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa. % 0.92/1.09 generalize (zenon_Hf7 (a26)). zenon_intro zenon_Hfb. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfc ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ]. % 0.92/1.09 exact (zenon_Hf8 zenon_Hfe). % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.92/1.09 exact (zenon_Hf9 zenon_H100). % 0.92/1.09 exact (zenon_Hff zenon_Hfa). % 0.92/1.09 (* end of lemma zenon_L74_ *) % 0.92/1.09 assert (zenon_L75_ : ((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> (~(hskp3)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hdf zenon_H101 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Hec. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Ha. zenon_intro zenon_He1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H102 ]. % 0.92/1.09 apply (zenon_L74_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hed ]. % 0.92/1.09 apply (zenon_L60_); trivial. % 0.92/1.09 exact (zenon_Hec zenon_Hed). % 0.92/1.09 (* end of lemma zenon_L75_ *) % 0.92/1.09 assert (zenon_L76_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H103 zenon_He5 zenon_H101 zenon_Hec zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Hd1 zenon_Hd3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ]. % 0.92/1.09 apply (zenon_L59_); trivial. % 0.92/1.09 apply (zenon_L75_); trivial. % 0.92/1.09 (* end of lemma zenon_L76_ *) % 0.92/1.09 assert (zenon_L77_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H106 zenon_He5 zenon_H101 zenon_Hec zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Hd1 zenon_Hd3 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H83 zenon_H5 zenon_H85 zenon_H87 zenon_Hf5. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.09 apply (zenon_L73_); trivial. % 0.92/1.09 apply (zenon_L76_); trivial. % 0.92/1.09 (* end of lemma zenon_L77_ *) % 0.92/1.09 assert (zenon_L78_ : (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H107 zenon_Ha zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.09 generalize (zenon_H107 (a24)). zenon_intro zenon_H10b. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H10b); [ zenon_intro zenon_H9 | zenon_intro zenon_H10c ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ]. % 0.92/1.09 exact (zenon_H108 zenon_H10e). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ]. % 0.92/1.09 exact (zenon_H110 zenon_H109). % 0.92/1.09 exact (zenon_H10f zenon_H10a). % 0.92/1.09 (* end of lemma zenon_L78_ *) % 0.92/1.09 assert (zenon_L79_ : ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> False). % 0.92/1.09 do 0 intro. intros zenon_H111 zenon_H45 zenon_H10a zenon_H109 zenon_H108 zenon_Ha. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H107 | zenon_intro zenon_H46 ]. % 0.92/1.09 apply (zenon_L78_); trivial. % 0.92/1.09 exact (zenon_H45 zenon_H46). % 0.92/1.09 (* end of lemma zenon_L79_ *) % 0.92/1.09 assert (zenon_L80_ : ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (~(c2_1 (a24))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.92/1.09 do 0 intro. intros zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H10a zenon_H109 zenon_H112 zenon_H108 zenon_Ha zenon_H43. % 0.92/1.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ]. % 0.92/1.09 apply (zenon_L27_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ]. % 0.92/1.09 generalize (zenon_Hd5 (a24)). zenon_intro zenon_H113. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_H9 | zenon_intro zenon_H114 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10e | zenon_intro zenon_H115 ]. % 0.92/1.09 exact (zenon_H108 zenon_H10e). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H116 | zenon_intro zenon_H110 ]. % 0.92/1.09 generalize (zenon_H112 (a24)). zenon_intro zenon_H117. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H117); [ zenon_intro zenon_H9 | zenon_intro zenon_H118 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H119 | zenon_intro zenon_H10d ]. % 0.92/1.09 exact (zenon_H116 zenon_H119). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ]. % 0.92/1.09 exact (zenon_H110 zenon_H109). % 0.92/1.09 exact (zenon_H10f zenon_H10a). % 0.92/1.09 exact (zenon_H110 zenon_H109). % 0.92/1.09 exact (zenon_H43 zenon_H44). % 0.92/1.09 (* end of lemma zenon_L80_ *) % 0.92/1.09 assert (zenon_L81_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp11)) -> (~(hskp19)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H11a zenon_H43 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H17 zenon_H8b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ]. % 0.92/1.09 apply (zenon_L80_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ]. % 0.92/1.09 exact (zenon_H17 zenon_H18). % 0.92/1.09 exact (zenon_H8b zenon_H8c). % 0.92/1.09 (* end of lemma zenon_L81_ *) % 0.92/1.09 assert (zenon_L82_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H75 zenon_Ha zenon_H116 zenon_H108 zenon_H109. % 0.92/1.09 generalize (zenon_H75 (a24)). zenon_intro zenon_H11c. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H11c); [ zenon_intro zenon_H9 | zenon_intro zenon_H11d ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H119 | zenon_intro zenon_H11e ]. % 0.92/1.09 exact (zenon_H116 zenon_H119). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10e | zenon_intro zenon_H110 ]. % 0.92/1.09 exact (zenon_H108 zenon_H10e). % 0.92/1.09 exact (zenon_H110 zenon_H109). % 0.92/1.09 (* end of lemma zenon_L82_ *) % 0.92/1.09 assert (zenon_L83_ : ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (c1_1 (a24)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a24))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.92/1.09 do 0 intro. intros zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H109 zenon_H75 zenon_H108 zenon_Ha zenon_H43. % 0.92/1.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ]. % 0.92/1.09 apply (zenon_L27_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ]. % 0.92/1.09 generalize (zenon_Hd5 (a24)). zenon_intro zenon_H113. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_H9 | zenon_intro zenon_H114 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10e | zenon_intro zenon_H115 ]. % 0.92/1.09 exact (zenon_H108 zenon_H10e). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H116 | zenon_intro zenon_H110 ]. % 0.92/1.09 apply (zenon_L82_); trivial. % 0.92/1.09 exact (zenon_H110 zenon_H109). % 0.92/1.09 exact (zenon_H43 zenon_H44). % 0.92/1.09 (* end of lemma zenon_L83_ *) % 0.92/1.09 assert (zenon_L84_ : (~(hskp6)) -> (hskp6) -> False). % 0.92/1.09 do 0 intro. intros zenon_H11f zenon_H120. % 0.92/1.09 exact (zenon_H11f zenon_H120). % 0.92/1.09 (* end of lemma zenon_L84_ *) % 0.92/1.09 assert (zenon_L85_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hc1 zenon_H121 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H11f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.09 apply (zenon_L83_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.09 apply (zenon_L52_); trivial. % 0.92/1.09 exact (zenon_H11f zenon_H120). % 0.92/1.09 (* end of lemma zenon_L85_ *) % 0.92/1.09 assert (zenon_L86_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_Hc4 zenon_H121 zenon_H11f zenon_He0 zenon_H43 zenon_H17 zenon_H11a zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L79_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.09 apply (zenon_L81_); trivial. % 0.92/1.09 apply (zenon_L85_); trivial. % 0.92/1.09 (* end of lemma zenon_L86_ *) % 0.92/1.09 assert (zenon_L87_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H73 zenon_Ha zenon_H74 zenon_H123 zenon_H76 zenon_H77. % 0.92/1.09 generalize (zenon_H73 (a29)). zenon_intro zenon_H78. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H79 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.92/1.09 exact (zenon_H74 zenon_H7b). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 0.92/1.09 generalize (zenon_H123 (a29)). zenon_intro zenon_H124. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_H9 | zenon_intro zenon_H125 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H81 | zenon_intro zenon_H126 ]. % 0.92/1.09 exact (zenon_H7d zenon_H81). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H82 | zenon_intro zenon_H7b ]. % 0.92/1.09 exact (zenon_H76 zenon_H82). % 0.92/1.09 exact (zenon_H74 zenon_H7b). % 0.92/1.09 exact (zenon_H7c zenon_H77). % 0.92/1.09 (* end of lemma zenon_L87_ *) % 0.92/1.09 assert (zenon_L88_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H127 zenon_Ha zenon_H74 zenon_H76 zenon_H77 zenon_Hc zenon_Hd zenon_He zenon_H83 zenon_H89 zenon_H5. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H123 | zenon_intro zenon_H128 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_Hb | zenon_intro zenon_H84 ]. % 0.92/1.09 apply (zenon_L6_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H73 | zenon_intro zenon_H6 ]. % 0.92/1.09 apply (zenon_L87_); trivial. % 0.92/1.09 exact (zenon_H5 zenon_H6). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8a | zenon_intro zenon_H6 ]. % 0.92/1.09 exact (zenon_H89 zenon_H8a). % 0.92/1.09 exact (zenon_H5 zenon_H6). % 0.92/1.09 (* end of lemma zenon_L88_ *) % 0.92/1.09 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H77 zenon_H76 zenon_H74 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L4_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.09 apply (zenon_L88_); trivial. % 0.92/1.09 apply (zenon_L41_); trivial. % 0.92/1.09 apply (zenon_L44_); trivial. % 0.92/1.09 apply (zenon_L28_); trivial. % 0.92/1.09 (* end of lemma zenon_L89_ *) % 0.92/1.09 assert (zenon_L90_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L79_); trivial. % 0.92/1.09 apply (zenon_L89_); trivial. % 0.92/1.09 (* end of lemma zenon_L90_ *) % 0.92/1.09 assert (zenon_L91_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_L86_); trivial. % 0.92/1.09 apply (zenon_L90_); trivial. % 0.92/1.09 (* end of lemma zenon_L91_ *) % 0.92/1.09 assert (zenon_L92_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c1_1 (a21)) -> False). % 0.92/1.09 do 0 intro. intros zenon_He8 zenon_Ha zenon_H129 zenon_H12a zenon_H12b. % 0.92/1.09 generalize (zenon_He8 (a21)). zenon_intro zenon_H12c. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H12c); [ zenon_intro zenon_H9 | zenon_intro zenon_H12d ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.92/1.09 exact (zenon_H129 zenon_H12f). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ]. % 0.92/1.09 exact (zenon_H12a zenon_H131). % 0.92/1.09 exact (zenon_H130 zenon_H12b). % 0.92/1.09 (* end of lemma zenon_L92_ *) % 0.92/1.09 assert (zenon_L93_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H132 zenon_Ha zenon_He8 zenon_H129 zenon_H12a zenon_H133. % 0.92/1.09 generalize (zenon_H132 (a21)). zenon_intro zenon_H134. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_H9 | zenon_intro zenon_H135 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H12b | zenon_intro zenon_H136 ]. % 0.92/1.09 apply (zenon_L92_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H131 | zenon_intro zenon_H137 ]. % 0.92/1.09 exact (zenon_H12a zenon_H131). % 0.92/1.09 exact (zenon_H137 zenon_H133). % 0.92/1.09 (* end of lemma zenon_L93_ *) % 0.92/1.09 assert (zenon_L94_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H60 zenon_Hae zenon_H32 zenon_H1 zenon_H2f zenon_Hee zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb | zenon_intro zenon_H139 ]. % 0.92/1.09 apply (zenon_L6_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H132 | zenon_intro zenon_H86 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He8 | zenon_intro zenon_Hef ]. % 0.92/1.09 apply (zenon_L93_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H99 | zenon_intro zenon_Hed ]. % 0.92/1.09 exact (zenon_H98 zenon_H99). % 0.92/1.09 exact (zenon_Hec zenon_Hed). % 0.92/1.09 exact (zenon_H85 zenon_H86). % 0.92/1.09 apply (zenon_L44_); trivial. % 0.92/1.09 (* end of lemma zenon_L94_ *) % 0.92/1.09 assert (zenon_L95_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L4_); trivial. % 0.92/1.09 apply (zenon_L94_); trivial. % 0.92/1.09 (* end of lemma zenon_L95_ *) % 0.92/1.09 assert (zenon_L96_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 apply (zenon_L50_); trivial. % 0.92/1.09 (* end of lemma zenon_L96_ *) % 0.92/1.09 assert (zenon_L97_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (c1_1 (a21)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hd5 zenon_Ha zenon_H129 zenon_H133 zenon_H12b. % 0.92/1.09 generalize (zenon_Hd5 (a21)). zenon_intro zenon_H13a. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H13a); [ zenon_intro zenon_H9 | zenon_intro zenon_H13b ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H12f | zenon_intro zenon_H13c ]. % 0.92/1.09 exact (zenon_H129 zenon_H12f). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H137 | zenon_intro zenon_H130 ]. % 0.92/1.09 exact (zenon_H137 zenon_H133). % 0.92/1.09 exact (zenon_H130 zenon_H12b). % 0.92/1.09 (* end of lemma zenon_L97_ *) % 0.92/1.09 assert (zenon_L98_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H13d zenon_Ha zenon_Hd5 zenon_H129 zenon_H133 zenon_H12a. % 0.92/1.09 generalize (zenon_H13d (a21)). zenon_intro zenon_H13e. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H9 | zenon_intro zenon_H13f ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.92/1.09 apply (zenon_L97_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12f | zenon_intro zenon_H131 ]. % 0.92/1.09 exact (zenon_H129 zenon_H12f). % 0.92/1.09 exact (zenon_H12a zenon_H131). % 0.92/1.09 (* end of lemma zenon_L98_ *) % 0.92/1.09 assert (zenon_L99_ : ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (~(hskp15)) -> False). % 0.92/1.09 do 0 intro. intros zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H12a zenon_H133 zenon_H129 zenon_Ha zenon_H13d zenon_H43. % 0.92/1.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ]. % 0.92/1.09 apply (zenon_L27_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ]. % 0.92/1.09 apply (zenon_L98_); trivial. % 0.92/1.09 exact (zenon_H43 zenon_H44). % 0.92/1.09 (* end of lemma zenon_L99_ *) % 0.92/1.09 assert (zenon_L100_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> False). % 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H141 zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H2f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 0.92/1.09 apply (zenon_L99_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.09 apply (zenon_L27_); trivial. % 0.92/1.09 exact (zenon_H2f zenon_H30). % 0.92/1.09 (* end of lemma zenon_L100_ *) % 0.92/1.09 assert (zenon_L101_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_He0 zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H5 zenon_H7 zenon_H43 zenon_H47 zenon_H72. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L96_); trivial. % 0.92/1.09 apply (zenon_L100_); trivial. % 0.92/1.09 (* end of lemma zenon_L101_ *) % 0.92/1.09 assert (zenon_L102_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H87 zenon_H83 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_L101_); trivial. % 0.92/1.09 apply (zenon_L72_); trivial. % 0.92/1.09 (* end of lemma zenon_L102_ *) % 0.92/1.09 assert (zenon_L103_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a28))) -> (forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H142 zenon_Ha zenon_Hc6 zenon_H63 zenon_Hc7 zenon_Hc8. % 0.92/1.09 generalize (zenon_H142 (a28)). zenon_intro zenon_H143. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H143); [ zenon_intro zenon_H9 | zenon_intro zenon_H144 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hcc | zenon_intro zenon_H145 ]. % 0.92/1.09 exact (zenon_Hc6 zenon_Hcc). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H146 | zenon_intro zenon_Hce ]. % 0.92/1.09 generalize (zenon_H63 (a28)). zenon_intro zenon_H147. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H147); [ zenon_intro zenon_H9 | zenon_intro zenon_H148 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H149 | zenon_intro zenon_Hcb ]. % 0.92/1.09 exact (zenon_H146 zenon_H149). % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.92/1.09 exact (zenon_Hce zenon_Hc7). % 0.92/1.09 exact (zenon_Hcd zenon_Hc8). % 0.92/1.09 exact (zenon_Hce zenon_Hc7). % 0.92/1.09 (* end of lemma zenon_L103_ *) % 0.92/1.09 assert (zenon_L104_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H87 zenon_H77 zenon_H76 zenon_H74 zenon_Ha zenon_H73 zenon_H85 zenon_H2f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H86 | zenon_intro zenon_H30 ]. % 0.92/1.09 exact (zenon_H85 zenon_H86). % 0.92/1.09 exact (zenon_H2f zenon_H30). % 0.92/1.09 (* end of lemma zenon_L104_ *) % 0.92/1.09 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp12)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H31 zenon_H14a zenon_H77 zenon_H74 zenon_H76 zenon_H2b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_He8 | zenon_intro zenon_H14b ]. % 0.92/1.09 apply (zenon_L63_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_Haf | zenon_intro zenon_H2c ]. % 0.92/1.09 apply (zenon_L46_); trivial. % 0.92/1.09 exact (zenon_H2b zenon_H2c). % 0.92/1.09 (* end of lemma zenon_L105_ *) % 0.92/1.09 assert (zenon_L106_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H6d zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H74 zenon_H76 zenon_H77 zenon_H85 zenon_H2f zenon_H87 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H6e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ]. % 0.92/1.09 apply (zenon_L17_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ]. % 0.92/1.09 apply (zenon_L103_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ]. % 0.92/1.09 apply (zenon_L104_); trivial. % 0.92/1.09 exact (zenon_H15 zenon_H16). % 0.92/1.09 exact (zenon_H2f zenon_H30). % 0.92/1.09 apply (zenon_L105_); trivial. % 0.92/1.09 (* end of lemma zenon_L106_ *) % 0.92/1.09 assert (zenon_L107_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H2f zenon_H129 zenon_H133 zenon_H12a zenon_H43 zenon_He0 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L79_); trivial. % 0.92/1.09 apply (zenon_L100_); trivial. % 0.92/1.09 (* end of lemma zenon_L107_ *) % 0.92/1.09 assert (zenon_L108_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H32 zenon_Hae zenon_H5f zenon_H111 zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H2f zenon_H141 zenon_Hf6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_L107_); trivial. % 0.92/1.09 apply (zenon_L90_); trivial. % 0.92/1.09 (* end of lemma zenon_L108_ *) % 0.92/1.09 assert (zenon_L109_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H151 zenon_Ha1 zenon_H9d zenon_H9a zenon_H127 zenon_H111 zenon_Hf5 zenon_H87 zenon_H83 zenon_H49 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H6e zenon_H14c zenon_H14a zenon_H38 zenon_H106. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.09 apply (zenon_L102_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_L101_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 apply (zenon_L106_); trivial. % 0.92/1.09 apply (zenon_L108_); trivial. % 0.92/1.09 (* end of lemma zenon_L109_ *) % 0.92/1.09 assert (zenon_L110_ : (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Haf zenon_Ha zenon_H112 zenon_H8f zenon_H91 zenon_H90. % 0.92/1.09 generalize (zenon_Haf (a8)). zenon_intro zenon_H152. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H152); [ zenon_intro zenon_H9 | zenon_intro zenon_H153 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H154 | zenon_intro zenon_H94 ]. % 0.92/1.09 generalize (zenon_H112 (a8)). zenon_intro zenon_H155. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H155); [ zenon_intro zenon_H9 | zenon_intro zenon_H156 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H158 | zenon_intro zenon_H157 ]. % 0.92/1.09 exact (zenon_H154 zenon_H158). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ]. % 0.92/1.09 exact (zenon_H95 zenon_H8f). % 0.92/1.09 exact (zenon_H96 zenon_H91). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 0.92/1.09 exact (zenon_H97 zenon_H90). % 0.92/1.09 exact (zenon_H96 zenon_H91). % 0.92/1.09 (* end of lemma zenon_L110_ *) % 0.92/1.09 assert (zenon_L111_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp13)) -> (~(hskp15)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp11)) -> (~(hskp19)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9c zenon_H11a zenon_Hb2 zenon_H43 zenon_Hb4 zenon_H17 zenon_H8b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ]. % 0.92/1.09 apply (zenon_L110_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H44 | zenon_intro zenon_Hb3 ]. % 0.92/1.09 exact (zenon_H43 zenon_H44). % 0.92/1.09 exact (zenon_Hb2 zenon_Hb3). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ]. % 0.92/1.09 exact (zenon_H17 zenon_H18). % 0.92/1.09 exact (zenon_H8b zenon_H8c). % 0.92/1.09 (* end of lemma zenon_L111_ *) % 0.92/1.09 assert (zenon_L112_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Ha1 zenon_H11a zenon_H17 zenon_H43 zenon_Hb2 zenon_Hb4 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.09 apply (zenon_L37_); trivial. % 0.92/1.09 apply (zenon_L111_); trivial. % 0.92/1.09 (* end of lemma zenon_L112_ *) % 0.92/1.09 assert (zenon_L113_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H60 zenon_H38 zenon_H14a zenon_H2b zenon_H77 zenon_H74 zenon_H76 zenon_H17 zenon_H19. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.09 apply (zenon_L9_); trivial. % 0.92/1.09 apply (zenon_L105_); trivial. % 0.92/1.09 (* end of lemma zenon_L113_ *) % 0.92/1.09 assert (zenon_L114_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L25_); trivial. % 0.92/1.09 apply (zenon_L113_); trivial. % 0.92/1.09 (* end of lemma zenon_L114_ *) % 0.92/1.09 assert (zenon_L115_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H13d zenon_Ha zenon_H159 zenon_H15a zenon_H15b. % 0.92/1.09 generalize (zenon_H13d (a15)). zenon_intro zenon_H15c. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H9 | zenon_intro zenon_H15d ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ]. % 0.92/1.09 exact (zenon_H159 zenon_H15f). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.92/1.09 exact (zenon_H15a zenon_H161). % 0.92/1.09 exact (zenon_H15b zenon_H160). % 0.92/1.09 (* end of lemma zenon_L115_ *) % 0.92/1.09 assert (zenon_L116_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23)))))) -> (~(hskp8)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Ha zenon_H142 zenon_H2f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 0.92/1.09 apply (zenon_L115_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.09 apply (zenon_L103_); trivial. % 0.92/1.09 exact (zenon_H2f zenon_H30). % 0.92/1.09 (* end of lemma zenon_L116_ *) % 0.92/1.09 assert (zenon_L117_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a20)) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H32 zenon_H26 zenon_H1e zenon_H1d zenon_H1b zenon_Ha zenon_H2f zenon_H1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ]. % 0.92/1.09 apply (zenon_L11_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ]. % 0.92/1.09 exact (zenon_H2f zenon_H30). % 0.92/1.09 exact (zenon_H1 zenon_H2). % 0.92/1.09 (* end of lemma zenon_L117_ *) % 0.92/1.09 assert (zenon_L118_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H60 zenon_H38 zenon_H162 zenon_H1 zenon_H32 zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2f zenon_H141 zenon_H17 zenon_H19. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.09 apply (zenon_L9_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.09 apply (zenon_L6_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.09 apply (zenon_L116_); trivial. % 0.92/1.09 apply (zenon_L117_); trivial. % 0.92/1.09 (* end of lemma zenon_L118_ *) % 0.92/1.09 assert (zenon_L119_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H73 zenon_Ha zenon_H74 zenon_Hb6 zenon_H77. % 0.92/1.09 generalize (zenon_H73 (a29)). zenon_intro zenon_H78. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H9 | zenon_intro zenon_H79 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.92/1.09 exact (zenon_H74 zenon_H7b). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 0.92/1.09 generalize (zenon_Hb6 (a29)). zenon_intro zenon_H164. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H164); [ zenon_intro zenon_H9 | zenon_intro zenon_H165 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H81 | zenon_intro zenon_Heb ]. % 0.92/1.09 exact (zenon_H7d zenon_H81). % 0.92/1.09 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 0.92/1.09 exact (zenon_H74 zenon_H7b). % 0.92/1.09 exact (zenon_H7c zenon_H77). % 0.92/1.09 exact (zenon_H7c zenon_H77). % 0.92/1.09 (* end of lemma zenon_L119_ *) % 0.92/1.09 assert (zenon_L120_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2f zenon_H141 zenon_H166. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H167 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ]. % 0.92/1.09 apply (zenon_L116_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ]. % 0.92/1.09 apply (zenon_L119_); trivial. % 0.92/1.09 exact (zenon_H15 zenon_H16). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.92/1.09 exact (zenon_H15 zenon_H16). % 0.92/1.09 exact (zenon_H2f zenon_H30). % 0.92/1.09 apply (zenon_L105_); trivial. % 0.92/1.09 (* end of lemma zenon_L120_ *) % 0.92/1.09 assert (zenon_L121_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H106 zenon_H14c zenon_H166 zenon_H162 zenon_H32 zenon_H159 zenon_H15a zenon_H15b zenon_H2f zenon_H141 zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H11a zenon_H17 zenon_Hb2 zenon_Hb4 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H19 zenon_H38 zenon_H5f zenon_H5a zenon_H14a zenon_Hf5. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L112_); trivial. % 0.92/1.09 apply (zenon_L49_); trivial. % 0.92/1.09 apply (zenon_L54_); trivial. % 0.92/1.09 apply (zenon_L114_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L112_); trivial. % 0.92/1.09 apply (zenon_L118_); trivial. % 0.92/1.09 apply (zenon_L50_); trivial. % 0.92/1.09 apply (zenon_L54_); trivial. % 0.92/1.09 apply (zenon_L62_); trivial. % 0.92/1.09 apply (zenon_L120_); trivial. % 0.92/1.09 (* end of lemma zenon_L121_ *) % 0.92/1.09 assert (zenon_L122_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H14a zenon_H72 zenon_H47 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19 zenon_H17 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f zenon_H6e zenon_Hf6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_L71_); trivial. % 0.92/1.09 apply (zenon_L114_); trivial. % 0.92/1.09 (* end of lemma zenon_L122_ *) % 0.92/1.09 assert (zenon_L123_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H168 zenon_H106 zenon_He5 zenon_H101 zenon_Hec zenon_Hd1 zenon_Hd3 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.09 apply (zenon_L122_); trivial. % 0.92/1.09 apply (zenon_L76_); trivial. % 0.92/1.09 (* end of lemma zenon_L123_ *) % 0.92/1.09 assert (zenon_L124_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp8)) -> False). % 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_H2f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 0.92/1.09 apply (zenon_L115_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.09 apply (zenon_L27_); trivial. % 0.92/1.09 exact (zenon_H2f zenon_H30). % 0.92/1.09 (* end of lemma zenon_L124_ *) % 0.92/1.09 assert (zenon_L125_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H111. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L79_); trivial. % 0.92/1.09 apply (zenon_L124_); trivial. % 0.92/1.09 (* end of lemma zenon_L125_ *) % 0.92/1.09 assert (zenon_L126_ : (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16b zenon_Ha zenon_H129 zenon_H12a zenon_H133. % 0.92/1.09 generalize (zenon_H16b (a21)). zenon_intro zenon_H16c. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H16c); [ zenon_intro zenon_H9 | zenon_intro zenon_H16d ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H12f | zenon_intro zenon_H136 ]. % 0.92/1.09 exact (zenon_H129 zenon_H12f). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H131 | zenon_intro zenon_H137 ]. % 0.92/1.09 exact (zenon_H12a zenon_H131). % 0.92/1.09 exact (zenon_H137 zenon_H133). % 0.92/1.09 (* end of lemma zenon_L126_ *) % 0.92/1.09 assert (zenon_L127_ : ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp24)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_Hec zenon_H3. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H16b | zenon_intro zenon_H16f ]. % 0.92/1.09 apply (zenon_L126_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hed | zenon_intro zenon_H4 ]. % 0.92/1.09 exact (zenon_Hec zenon_Hed). % 0.92/1.09 exact (zenon_H3 zenon_H4). % 0.92/1.09 (* end of lemma zenon_L127_ *) % 0.92/1.09 assert (zenon_L128_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H138 zenon_H85 zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L127_); trivial. % 0.92/1.09 apply (zenon_L94_); trivial. % 0.92/1.09 apply (zenon_L50_); trivial. % 0.92/1.09 (* end of lemma zenon_L128_ *) % 0.92/1.09 assert (zenon_L129_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H170 zenon_Ha zenon_Hd5 zenon_H129 zenon_H133. % 0.92/1.09 generalize (zenon_H170 (a21)). zenon_intro zenon_H171. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H171); [ zenon_intro zenon_H9 | zenon_intro zenon_H172 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H12b | zenon_intro zenon_H173 ]. % 0.92/1.09 apply (zenon_L97_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H12f | zenon_intro zenon_H137 ]. % 0.92/1.09 exact (zenon_H129 zenon_H12f). % 0.92/1.09 exact (zenon_H137 zenon_H133). % 0.92/1.09 (* end of lemma zenon_L129_ *) % 0.92/1.09 assert (zenon_L130_ : (~(hskp23)) -> (hskp23) -> False). % 0.92/1.09 do 0 intro. intros zenon_H174 zenon_H175. % 0.92/1.09 exact (zenon_H174 zenon_H175). % 0.92/1.09 (* end of lemma zenon_L130_ *) % 0.92/1.09 assert (zenon_L131_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H176 zenon_H133 zenon_H129 zenon_Hd5 zenon_Ha zenon_H15 zenon_H174. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ]. % 0.92/1.09 apply (zenon_L129_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ]. % 0.92/1.09 exact (zenon_H15 zenon_H16). % 0.92/1.09 exact (zenon_H174 zenon_H175). % 0.92/1.09 (* end of lemma zenon_L131_ *) % 0.92/1.09 assert (zenon_L132_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H132 zenon_H1e zenon_H1d zenon_H26 zenon_Ha zenon_H2b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_He8 | zenon_intro zenon_H14b ]. % 0.92/1.09 apply (zenon_L93_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_Haf | zenon_intro zenon_H2c ]. % 0.92/1.09 apply (zenon_L46_); trivial. % 0.92/1.09 exact (zenon_H2b zenon_H2c). % 0.92/1.09 (* end of lemma zenon_L132_ *) % 0.92/1.09 assert (zenon_L133_ : (~(hskp10)) -> (hskp10) -> False). % 0.92/1.09 do 0 intro. intros zenon_H178 zenon_H179. % 0.92/1.09 exact (zenon_H178 zenon_H179). % 0.92/1.09 (* end of lemma zenon_L133_ *) % 0.92/1.09 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp12)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp10)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H31 zenon_H17a zenon_He zenon_Hd zenon_Hc zenon_H2b zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H178. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb | zenon_intro zenon_H17b ]. % 0.92/1.09 apply (zenon_L6_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H132 | zenon_intro zenon_H179 ]. % 0.92/1.09 apply (zenon_L132_); trivial. % 0.92/1.09 exact (zenon_H178 zenon_H179). % 0.92/1.09 (* end of lemma zenon_L134_ *) % 0.92/1.09 assert (zenon_L135_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c0_1 (a26))) -> (~(c1_1 (a26))) -> (c3_1 (a26)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H5f zenon_H38 zenon_H17a zenon_H178 zenon_H2b zenon_H14a zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H176 zenon_H174 zenon_H101 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L127_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H102 ]. % 0.92/1.09 apply (zenon_L74_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hed ]. % 0.92/1.09 apply (zenon_L131_); trivial. % 0.92/1.09 exact (zenon_Hec zenon_Hed). % 0.92/1.09 apply (zenon_L134_); trivial. % 0.92/1.09 (* end of lemma zenon_L135_ *) % 0.92/1.09 assert (zenon_L136_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H132 zenon_Ha zenon_H17c zenon_H17d zenon_H17e. % 0.92/1.09 generalize (zenon_H132 (a42)). zenon_intro zenon_H17f. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H17f); [ zenon_intro zenon_H9 | zenon_intro zenon_H180 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 0.92/1.09 exact (zenon_H17c zenon_H182). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ]. % 0.92/1.09 exact (zenon_H17d zenon_H184). % 0.92/1.09 exact (zenon_H183 zenon_H17e). % 0.92/1.09 (* end of lemma zenon_L136_ *) % 0.92/1.09 assert (zenon_L137_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> (~(hskp10)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H60 zenon_H17a zenon_H17e zenon_H17d zenon_H17c zenon_H178. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_Hb | zenon_intro zenon_H17b ]. % 0.92/1.09 apply (zenon_L6_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H132 | zenon_intro zenon_H179 ]. % 0.92/1.09 apply (zenon_L136_); trivial. % 0.92/1.09 exact (zenon_H178 zenon_H179). % 0.92/1.09 (* end of lemma zenon_L137_ *) % 0.92/1.09 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L127_); trivial. % 0.92/1.09 apply (zenon_L137_); trivial. % 0.92/1.09 (* end of lemma zenon_L138_ *) % 0.92/1.09 assert (zenon_L139_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H168 zenon_H188 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H101 zenon_H176 zenon_H14a zenon_H2b zenon_H178 zenon_H17a zenon_H38 zenon_H5f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.09 apply (zenon_L135_); trivial. % 0.92/1.09 apply (zenon_L138_); trivial. % 0.92/1.09 (* end of lemma zenon_L139_ *) % 0.92/1.09 assert (zenon_L140_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H189 zenon_H188 zenon_H101 zenon_H176 zenon_H14a zenon_H2b zenon_H178 zenon_H17a zenon_H38 zenon_Hf6 zenon_H141 zenon_He0 zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_H85 zenon_H138 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H47 zenon_H72 zenon_Hf0 zenon_Hf5. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L128_); trivial. % 0.92/1.09 apply (zenon_L100_); trivial. % 0.92/1.09 apply (zenon_L68_); trivial. % 0.92/1.09 apply (zenon_L139_); trivial. % 0.92/1.09 (* end of lemma zenon_L140_ *) % 0.92/1.09 assert (zenon_L141_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H77 zenon_H74 zenon_H76 zenon_H2f zenon_H32 zenon_Hae. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.09 apply (zenon_L66_); trivial. % 0.92/1.09 apply (zenon_L28_); trivial. % 0.92/1.09 (* end of lemma zenon_L141_ *) % 0.92/1.09 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_Hf6 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L79_); trivial. % 0.92/1.09 apply (zenon_L141_); trivial. % 0.92/1.09 (* end of lemma zenon_L142_ *) % 0.92/1.09 assert (zenon_L143_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H2f zenon_H141 zenon_Hf6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_L107_); trivial. % 0.92/1.09 apply (zenon_L142_); trivial. % 0.92/1.09 (* end of lemma zenon_L143_ *) % 0.92/1.09 assert (zenon_L144_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H18a zenon_H151 zenon_H6e zenon_H111 zenon_Hf5 zenon_Hf0 zenon_H72 zenon_H47 zenon_H16e zenon_Hec zenon_H138 zenon_H85 zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H38 zenon_H17a zenon_H178 zenon_H14a zenon_H176 zenon_H101 zenon_H188 zenon_H189. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.09 apply (zenon_L140_); trivial. % 0.92/1.09 apply (zenon_L143_); trivial. % 0.92/1.09 (* end of lemma zenon_L144_ *) % 0.92/1.09 assert (zenon_L145_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H75 zenon_Ha zenon_H18d zenon_H18e zenon_H18f. % 0.92/1.09 generalize (zenon_H75 (a17)). zenon_intro zenon_H190. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H190); [ zenon_intro zenon_H9 | zenon_intro zenon_H191 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H193 | zenon_intro zenon_H192 ]. % 0.92/1.09 exact (zenon_H18d zenon_H193). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.92/1.09 exact (zenon_H18e zenon_H195). % 0.92/1.09 exact (zenon_H194 zenon_H18f). % 0.92/1.09 (* end of lemma zenon_L145_ *) % 0.92/1.09 assert (zenon_L146_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H87 zenon_H18f zenon_H18e zenon_H18d zenon_Ha zenon_H85 zenon_H2f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ]. % 0.92/1.09 apply (zenon_L145_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H86 | zenon_intro zenon_H30 ]. % 0.92/1.09 exact (zenon_H85 zenon_H86). % 0.92/1.09 exact (zenon_H2f zenon_H30). % 0.92/1.09 (* end of lemma zenon_L146_ *) % 0.92/1.09 assert (zenon_L147_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H196 zenon_H87 zenon_H85 zenon_H2f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.92/1.09 apply (zenon_L146_); trivial. % 0.92/1.09 (* end of lemma zenon_L147_ *) % 0.92/1.09 assert (zenon_L148_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_H111 zenon_H106 zenon_H14c zenon_H166 zenon_H162 zenon_H32 zenon_H2f zenon_H141 zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H11a zenon_Hb4 zenon_H49 zenon_H8d zenon_H5e zenon_H19 zenon_H38 zenon_H5f zenon_H5a zenon_H14a zenon_Hf5 zenon_H33 zenon_H2d zenon_H6e zenon_Hec zenon_H101 zenon_H189 zenon_H188 zenon_H176 zenon_H17a zenon_Hae zenon_Hee zenon_H85 zenon_H138 zenon_H16e zenon_Hf0 zenon_H19b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.09 apply (zenon_L121_); trivial. % 0.92/1.09 apply (zenon_L123_); trivial. % 0.92/1.09 apply (zenon_L125_); trivial. % 0.92/1.09 apply (zenon_L144_); trivial. % 0.92/1.09 apply (zenon_L147_); trivial. % 0.92/1.09 (* end of lemma zenon_L148_ *) % 0.92/1.09 assert (zenon_L149_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a13)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hb6 zenon_Ha zenon_H19e zenon_H112 zenon_H19f. % 0.92/1.09 generalize (zenon_Hb6 (a13)). zenon_intro zenon_H1a0. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1a0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a1 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ]. % 0.92/1.09 exact (zenon_H19e zenon_H1a3). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.92/1.09 generalize (zenon_H112 (a13)). zenon_intro zenon_H1a6. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1a6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a7 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a8 ]. % 0.92/1.09 exact (zenon_H19e zenon_H1a3). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 0.92/1.09 exact (zenon_H1a4 zenon_H19f). % 0.92/1.09 exact (zenon_H1a9 zenon_H1a5). % 0.92/1.09 exact (zenon_H1a4 zenon_H19f). % 0.92/1.09 (* end of lemma zenon_L149_ *) % 0.92/1.09 assert (zenon_L150_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(hskp11)) -> (~(hskp19)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hb6 zenon_H17 zenon_H8b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ]. % 0.92/1.09 apply (zenon_L149_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ]. % 0.92/1.09 exact (zenon_H17 zenon_H18). % 0.92/1.09 exact (zenon_H8b zenon_H8c). % 0.92/1.09 (* end of lemma zenon_L150_ *) % 0.92/1.09 assert (zenon_L151_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hc4 zenon_H11a zenon_H17 zenon_H19f zenon_H19e zenon_Ha zenon_H2b zenon_Hc0. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ]. % 0.92/1.09 apply (zenon_L150_); trivial. % 0.92/1.09 exact (zenon_H2b zenon_H2c). % 0.92/1.09 apply (zenon_L54_); trivial. % 0.92/1.09 (* end of lemma zenon_L151_ *) % 0.92/1.09 assert (zenon_L152_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H142 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.09 generalize (zenon_H142 (a13)). zenon_intro zenon_H1ab. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ac ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1ad ]. % 0.92/1.09 exact (zenon_H19e zenon_H1a3). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ae ]. % 0.92/1.09 exact (zenon_H1a4 zenon_H19f). % 0.92/1.09 exact (zenon_H1ae zenon_H1aa). % 0.92/1.09 (* end of lemma zenon_L152_ *) % 0.92/1.09 assert (zenon_L153_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9c zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H1aa zenon_H19f zenon_H19e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.09 apply (zenon_L6_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.09 apply (zenon_L152_); trivial. % 0.92/1.09 apply (zenon_L38_); trivial. % 0.92/1.09 (* end of lemma zenon_L153_ *) % 0.92/1.09 assert (zenon_L154_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H60 zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H5 zenon_H77 zenon_H76 zenon_H74 zenon_H127. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.09 apply (zenon_L88_); trivial. % 0.92/1.09 apply (zenon_L153_); trivial. % 0.92/1.09 (* end of lemma zenon_L154_ *) % 0.92/1.09 assert (zenon_L155_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H77 zenon_H76 zenon_H74 zenon_H127 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.09 apply (zenon_L4_); trivial. % 0.92/1.09 apply (zenon_L154_); trivial. % 0.92/1.09 (* end of lemma zenon_L155_ *) % 0.92/1.09 assert (zenon_L156_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.09 apply (zenon_L155_); trivial. % 0.92/1.09 apply (zenon_L67_); trivial. % 0.92/1.09 (* end of lemma zenon_L156_ *) % 0.92/1.09 assert (zenon_L157_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.09 apply (zenon_L86_); trivial. % 0.92/1.09 apply (zenon_L156_); trivial. % 0.92/1.09 (* end of lemma zenon_L157_ *) % 0.92/1.09 assert (zenon_L158_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H77 zenon_H76 zenon_H75 zenon_H74 zenon_Ha zenon_H15. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ]. % 0.92/1.09 apply (zenon_L152_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 exact (zenon_H15 zenon_H16). % 0.92/1.09 (* end of lemma zenon_L158_ *) % 0.92/1.09 assert (zenon_L159_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp30)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp19)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H15 zenon_H74 zenon_H76 zenon_H77 zenon_H1aa zenon_H14c zenon_H8b zenon_H17 zenon_Ha zenon_H19e zenon_H19f zenon_H11a zenon_H11f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.09 apply (zenon_L158_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.09 apply (zenon_L150_); trivial. % 0.92/1.09 exact (zenon_H11f zenon_H120). % 0.92/1.09 (* end of lemma zenon_L159_ *) % 0.92/1.09 assert (zenon_L160_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H4d zenon_Ha zenon_H75 zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.09 generalize (zenon_H4d (a24)). zenon_intro zenon_H1af. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H116 | zenon_intro zenon_H10d ]. % 0.92/1.09 apply (zenon_L82_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ]. % 0.92/1.09 exact (zenon_H110 zenon_H109). % 0.92/1.09 exact (zenon_H10f zenon_H10a). % 0.92/1.09 (* end of lemma zenon_L160_ *) % 0.92/1.09 assert (zenon_L161_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.09 apply (zenon_L43_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 apply (zenon_L46_); trivial. % 0.92/1.09 (* end of lemma zenon_L161_ *) % 0.92/1.09 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp19)) -> (~(hskp11)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H8b zenon_H17 zenon_H19e zenon_H19f zenon_H11a zenon_H11f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.09 apply (zenon_L161_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.09 apply (zenon_L150_); trivial. % 0.92/1.09 exact (zenon_H11f zenon_H120). % 0.92/1.09 (* end of lemma zenon_L162_ *) % 0.92/1.09 assert (zenon_L163_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hab zenon_H38 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H11a zenon_H8b zenon_H17 zenon_H11f zenon_H121. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.09 apply (zenon_L159_); trivial. % 0.92/1.09 apply (zenon_L162_); trivial. % 0.92/1.09 (* end of lemma zenon_L163_ *) % 0.92/1.09 assert (zenon_L164_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp24)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H5a zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H57 zenon_H3. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H4d | zenon_intro zenon_H5d ]. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 0.92/1.09 exact (zenon_H57 zenon_H58). % 0.92/1.09 exact (zenon_H3 zenon_H4). % 0.92/1.09 (* end of lemma zenon_L164_ *) % 0.92/1.09 assert (zenon_L165_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H3 zenon_H57 zenon_H108 zenon_H109 zenon_H10a zenon_H5a zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H11f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.09 apply (zenon_L164_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.09 apply (zenon_L52_); trivial. % 0.92/1.09 exact (zenon_H11f zenon_H120). % 0.92/1.09 (* end of lemma zenon_L165_ *) % 0.92/1.09 assert (zenon_L166_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp30)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H15 zenon_H74 zenon_H76 zenon_H77 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H11f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.09 apply (zenon_L158_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.09 apply (zenon_L52_); trivial. % 0.92/1.09 exact (zenon_H11f zenon_H120). % 0.92/1.09 (* end of lemma zenon_L166_ *) % 0.92/1.09 assert (zenon_L167_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1b1 zenon_H1b zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.09 apply (zenon_L11_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 apply (zenon_L46_); trivial. % 0.92/1.09 (* end of lemma zenon_L167_ *) % 0.92/1.09 assert (zenon_L168_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.09 apply (zenon_L6_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.09 apply (zenon_L152_); trivial. % 0.92/1.09 apply (zenon_L167_); trivial. % 0.92/1.09 (* end of lemma zenon_L168_ *) % 0.92/1.09 assert (zenon_L169_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp6)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_Hc zenon_Hd zenon_He zenon_H162 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H11f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.09 apply (zenon_L168_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.09 apply (zenon_L52_); trivial. % 0.92/1.09 exact (zenon_H11f zenon_H120). % 0.92/1.09 (* end of lemma zenon_L169_ *) % 0.92/1.09 assert (zenon_L170_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc1 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H11f zenon_H121. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.10 apply (zenon_L165_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.10 apply (zenon_L166_); trivial. % 0.92/1.10 apply (zenon_L169_); trivial. % 0.92/1.10 (* end of lemma zenon_L170_ *) % 0.92/1.10 assert (zenon_L171_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf5 zenon_H5f zenon_H162 zenon_H5a zenon_H57 zenon_Hee zenon_Hec zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H1b1 zenon_H38 zenon_Hae zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.10 apply (zenon_L86_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.10 apply (zenon_L65_); trivial. % 0.92/1.10 apply (zenon_L163_); trivial. % 0.92/1.10 apply (zenon_L170_); trivial. % 0.92/1.10 (* end of lemma zenon_L171_ *) % 0.92/1.10 assert (zenon_L172_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H168 zenon_H106 zenon_He5 zenon_H101 zenon_Hd1 zenon_Hd3 zenon_Hf6 zenon_Hc4 zenon_H121 zenon_H11f zenon_He0 zenon_H17 zenon_H11a zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_Hae zenon_H38 zenon_H1b1 zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_Hec zenon_Hee zenon_H5a zenon_H162 zenon_H5f zenon_Hf5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.10 apply (zenon_L171_); trivial. % 0.92/1.10 apply (zenon_L76_); trivial. % 0.92/1.10 (* end of lemma zenon_L172_ *) % 0.92/1.10 assert (zenon_L173_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H39 zenon_Ha zenon_H19e zenon_H1b zenon_H19f zenon_H1aa. % 0.92/1.10 generalize (zenon_H39 (a13)). zenon_intro zenon_H1b3. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b4 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1b5 ]. % 0.92/1.10 exact (zenon_H19e zenon_H1a3). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1ae ]. % 0.92/1.10 generalize (zenon_H1b (a13)). zenon_intro zenon_H1b6. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1b6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b7 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b8 ]. % 0.92/1.10 exact (zenon_H1a4 zenon_H19f). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1a9 ]. % 0.92/1.10 exact (zenon_H1ae zenon_H1aa). % 0.92/1.10 exact (zenon_H1a9 zenon_H1a5). % 0.92/1.10 exact (zenon_H1ae zenon_H1aa). % 0.92/1.10 (* end of lemma zenon_L173_ *) % 0.92/1.10 assert (zenon_L174_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp15)) -> (~(hskp16)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H43 zenon_H45. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.10 apply (zenon_L6_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ]. % 0.92/1.10 apply (zenon_L173_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ]. % 0.92/1.10 exact (zenon_H43 zenon_H44). % 0.92/1.10 exact (zenon_H45 zenon_H46). % 0.92/1.10 (* end of lemma zenon_L174_ *) % 0.92/1.10 assert (zenon_L175_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5f zenon_H162 zenon_H43 zenon_H45 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.10 apply (zenon_L25_); trivial. % 0.92/1.10 apply (zenon_L174_); trivial. % 0.92/1.10 (* end of lemma zenon_L175_ *) % 0.92/1.10 assert (zenon_L176_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp30)) -> (~(hskp23)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H176 zenon_H43 zenon_Ha zenon_H129 zenon_H133 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H15 zenon_H174. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ]. % 0.92/1.10 apply (zenon_L27_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ]. % 0.92/1.10 apply (zenon_L129_); trivial. % 0.92/1.10 exact (zenon_H43 zenon_H44). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ]. % 0.92/1.10 exact (zenon_H15 zenon_H16). % 0.92/1.10 exact (zenon_H174 zenon_H175). % 0.92/1.10 (* end of lemma zenon_L176_ *) % 0.92/1.10 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H31 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H2b zenon_H133 zenon_H12a zenon_H129 zenon_H1b9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.10 apply (zenon_L149_); trivial. % 0.92/1.10 apply (zenon_L132_); trivial. % 0.92/1.10 exact (zenon_H2b zenon_H2c). % 0.92/1.10 (* end of lemma zenon_L177_ *) % 0.92/1.10 assert (zenon_L178_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H2b zenon_H12a zenon_H1b9 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_H174 zenon_H176. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.10 apply (zenon_L176_); trivial. % 0.92/1.10 apply (zenon_L177_); trivial. % 0.92/1.10 (* end of lemma zenon_L178_ *) % 0.92/1.10 assert (zenon_L179_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5f zenon_H17a zenon_H178 zenon_H17e zenon_H17d zenon_H17c zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.10 apply (zenon_L25_); trivial. % 0.92/1.10 apply (zenon_L137_); trivial. % 0.92/1.10 (* end of lemma zenon_L179_ *) % 0.92/1.10 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.10 apply (zenon_L179_); trivial. % 0.92/1.10 (* end of lemma zenon_L180_ *) % 0.92/1.10 assert (zenon_L181_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H17a zenon_H178 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H43 zenon_H162 zenon_H5f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.10 apply (zenon_L175_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.10 apply (zenon_L178_); trivial. % 0.92/1.10 apply (zenon_L180_); trivial. % 0.92/1.10 (* end of lemma zenon_L181_ *) % 0.92/1.10 assert (zenon_L182_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a29)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1bb zenon_H1aa zenon_H19f zenon_H1b zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_Hb6 zenon_H77. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 0.92/1.10 apply (zenon_L173_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 0.92/1.10 apply (zenon_L126_); trivial. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 (* end of lemma zenon_L182_ *) % 0.92/1.10 assert (zenon_L183_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a29)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_Hb6 zenon_H77. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.10 apply (zenon_L6_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 apply (zenon_L182_); trivial. % 0.92/1.10 (* end of lemma zenon_L183_ *) % 0.92/1.10 assert (zenon_L184_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp30)) -> (~(c2_1 (a29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H15 zenon_H76 zenon_H14c zenon_H77 zenon_H74 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_Hc zenon_Hd zenon_He zenon_H162 zenon_H11f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.10 apply (zenon_L158_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.10 apply (zenon_L183_); trivial. % 0.92/1.10 exact (zenon_H11f zenon_H120). % 0.92/1.10 (* end of lemma zenon_L184_ *) % 0.92/1.10 assert (zenon_L185_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H11f zenon_H121. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.10 apply (zenon_L184_); trivial. % 0.92/1.10 apply (zenon_L105_); trivial. % 0.92/1.10 (* end of lemma zenon_L185_ *) % 0.92/1.10 assert (zenon_L186_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H11f zenon_H121 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.10 apply (zenon_L25_); trivial. % 0.92/1.10 apply (zenon_L185_); trivial. % 0.92/1.10 (* end of lemma zenon_L186_ *) % 0.92/1.10 assert (zenon_L187_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf5 zenon_H14c zenon_H1bb zenon_H11f zenon_H121 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.10 apply (zenon_L181_); trivial. % 0.92/1.10 apply (zenon_L186_); trivial. % 0.92/1.10 (* end of lemma zenon_L187_ *) % 0.92/1.10 assert (zenon_L188_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H45 zenon_H43 zenon_H162 zenon_H5f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_L174_); trivial. % 0.92/1.10 apply (zenon_L50_); trivial. % 0.92/1.10 (* end of lemma zenon_L188_ *) % 0.92/1.10 assert (zenon_L189_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.10 apply (zenon_L188_); trivial. % 0.92/1.10 apply (zenon_L62_); trivial. % 0.92/1.10 (* end of lemma zenon_L189_ *) % 0.92/1.10 assert (zenon_L190_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_H75 zenon_H76 zenon_H77. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 0.92/1.10 apply (zenon_L17_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 0.92/1.10 apply (zenon_L126_); trivial. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 (* end of lemma zenon_L190_ *) % 0.92/1.10 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c2_1 (a29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H59 zenon_H121 zenon_H74 zenon_H77 zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H133 zenon_H12a zenon_H129 zenon_H76 zenon_H1bd zenon_H11f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.10 apply (zenon_L190_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.10 apply (zenon_L190_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_L22_); trivial. % 0.92/1.10 exact (zenon_H11f zenon_H120). % 0.92/1.10 (* end of lemma zenon_L191_ *) % 0.92/1.10 assert (zenon_L192_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a29))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H121 zenon_H76 zenon_H3a zenon_H3b zenon_H3c zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H162 zenon_H11f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.10 apply (zenon_L190_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.10 apply (zenon_L183_); trivial. % 0.92/1.10 exact (zenon_H11f zenon_H120). % 0.92/1.10 (* end of lemma zenon_L192_ *) % 0.92/1.10 assert (zenon_L193_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H6d zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H49 zenon_H2b zenon_H1bb zenon_H77 zenon_H76 zenon_H74 zenon_H133 zenon_H12a zenon_H129 zenon_H1bd zenon_H11f zenon_H121 zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.10 apply (zenon_L21_); trivial. % 0.92/1.10 apply (zenon_L191_); trivial. % 0.92/1.10 apply (zenon_L192_); trivial. % 0.92/1.10 (* end of lemma zenon_L193_ *) % 0.92/1.10 assert (zenon_L194_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H49 zenon_H2b zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H1bd zenon_H11f zenon_H121 zenon_H5e zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.10 apply (zenon_L155_); trivial. % 0.92/1.10 apply (zenon_L193_); trivial. % 0.92/1.10 (* end of lemma zenon_L194_ *) % 0.92/1.10 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp28)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H1bf zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H1c0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H75 | zenon_intro zenon_H1c1 ]. % 0.92/1.10 apply (zenon_L83_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Haf | zenon_intro zenon_H1c2 ]. % 0.92/1.10 apply (zenon_L46_); trivial. % 0.92/1.10 exact (zenon_H1c0 zenon_H1c2). % 0.92/1.10 (* end of lemma zenon_L195_ *) % 0.92/1.10 assert (zenon_L196_ : (~(hskp18)) -> (hskp18) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1c3 zenon_H1c4. % 0.92/1.10 exact (zenon_H1c3 zenon_H1c4). % 0.92/1.10 (* end of lemma zenon_L196_ *) % 0.92/1.10 assert (zenon_L197_ : (~(hskp27)) -> (hskp27) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1c5 zenon_H1c6. % 0.92/1.10 exact (zenon_H1c5 zenon_H1c6). % 0.92/1.10 (* end of lemma zenon_L197_ *) % 0.92/1.10 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> (~(hskp18)) -> (~(hskp27)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1c7 zenon_H1c8 zenon_H1c3 zenon_H1c5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_Ha. zenon_intro zenon_H1c9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H1cb. zenon_intro zenon_H1ca. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H1cd. zenon_intro zenon_H1cc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 0.92/1.10 generalize (zenon_H1cf (a2)). zenon_intro zenon_H1d0. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1d0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d1 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ]. % 0.92/1.10 exact (zenon_H1d3 zenon_H1cb). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1d4 ]. % 0.92/1.10 exact (zenon_H1d5 zenon_H1cd). % 0.92/1.10 exact (zenon_H1d4 zenon_H1cc). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c6 ]. % 0.92/1.10 exact (zenon_H1c3 zenon_H1c4). % 0.92/1.10 exact (zenon_H1c5 zenon_H1c6). % 0.92/1.10 (* end of lemma zenon_L198_ *) % 0.92/1.10 assert (zenon_L199_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> (~(hskp27)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d6 zenon_H1c8 zenon_H1c5 zenon_H1c3 zenon_H176 zenon_H174 zenon_Ha zenon_H64 zenon_H65 zenon_H66 zenon_H129 zenon_H133 zenon_H43 zenon_He0 zenon_H109 zenon_H108 zenon_H1bf zenon_H38. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c7 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.10 apply (zenon_L176_); trivial. % 0.92/1.10 apply (zenon_L195_); trivial. % 0.92/1.10 apply (zenon_L198_); trivial. % 0.92/1.10 (* end of lemma zenon_L199_ *) % 0.92/1.10 assert (zenon_L200_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a65))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c2_1 (a65))) -> (c3_1 (a65)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H25 zenon_Ha zenon_H1d7 zenon_Hb zenon_H1d8 zenon_H1d9. % 0.92/1.10 generalize (zenon_H25 (a65)). zenon_intro zenon_H1da. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H9 | zenon_intro zenon_H1db ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ]. % 0.92/1.10 exact (zenon_H1d7 zenon_H1dd). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.92/1.10 generalize (zenon_Hb (a65)). zenon_intro zenon_H1e0. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e1 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ]. % 0.92/1.10 exact (zenon_H1df zenon_H1e3). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1de ]. % 0.92/1.10 exact (zenon_H1d8 zenon_H1e4). % 0.92/1.10 exact (zenon_H1de zenon_H1d9). % 0.92/1.10 exact (zenon_H1de zenon_H1d9). % 0.92/1.10 (* end of lemma zenon_L200_ *) % 0.92/1.10 assert (zenon_L201_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hb zenon_Ha zenon_H4d zenon_H109 zenon_H10a zenon_H108. % 0.92/1.10 generalize (zenon_Hb (a24)). zenon_intro zenon_H1e5. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e6 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H119 | zenon_intro zenon_H1e7 ]. % 0.92/1.10 generalize (zenon_H4d (a24)). zenon_intro zenon_H1af. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H116 | zenon_intro zenon_H10d ]. % 0.92/1.10 exact (zenon_H116 zenon_H119). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ]. % 0.92/1.10 exact (zenon_H110 zenon_H109). % 0.92/1.10 exact (zenon_H10f zenon_H10a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H10e | zenon_intro zenon_H10f ]. % 0.92/1.10 exact (zenon_H108 zenon_H10e). % 0.92/1.10 exact (zenon_H10f zenon_H10a). % 0.92/1.10 (* end of lemma zenon_L201_ *) % 0.92/1.10 assert (zenon_L202_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a65)) -> (~(c2_1 (a65))) -> (~(c1_1 (a65))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1b1 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H108 zenon_H10a zenon_H109 zenon_Hb zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.10 apply (zenon_L200_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.10 apply (zenon_L201_); trivial. % 0.92/1.10 apply (zenon_L46_); trivial. % 0.92/1.10 (* end of lemma zenon_L202_ *) % 0.92/1.10 assert (zenon_L203_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c2_1 (a20)) -> (c3_1 (a20)) -> (c0_1 (a20)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1e8 zenon_Ha zenon_H1b zenon_H1d zenon_H1e zenon_H26. % 0.92/1.10 generalize (zenon_H1e8 (a20)). zenon_intro zenon_H1e9. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ea ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1c | zenon_intro zenon_H1eb ]. % 0.92/1.10 apply (zenon_L10_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H2a | zenon_intro zenon_H24 ]. % 0.92/1.10 exact (zenon_H2a zenon_H26). % 0.92/1.10 exact (zenon_H24 zenon_H1d). % 0.92/1.10 (* end of lemma zenon_L203_ *) % 0.92/1.10 assert (zenon_L204_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ec zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H1b zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ]. % 0.92/1.10 apply (zenon_L99_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ]. % 0.92/1.10 apply (zenon_L203_); trivial. % 0.92/1.10 apply (zenon_L46_); trivial. % 0.92/1.10 (* end of lemma zenon_L204_ *) % 0.92/1.10 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> (~(c1_1 (a65))) -> (~(c2_1 (a65))) -> (c3_1 (a65)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H162 zenon_H109 zenon_H10a zenon_H108 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_H64 zenon_H65 zenon_H66 zenon_He0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.10 apply (zenon_L202_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 apply (zenon_L204_); trivial. % 0.92/1.10 (* end of lemma zenon_L205_ *) % 0.92/1.10 assert (zenon_L206_ : ((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ee zenon_H38 zenon_H162 zenon_H12a zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H174 zenon_H176. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1d9. zenon_intro zenon_H1f0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.10 apply (zenon_L176_); trivial. % 0.92/1.10 apply (zenon_L205_); trivial. % 0.92/1.10 (* end of lemma zenon_L206_ *) % 0.92/1.10 assert (zenon_L207_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H185 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H43 zenon_H108 zenon_H109 zenon_H10a zenon_H64 zenon_H65 zenon_H66 zenon_He0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.10 apply (zenon_L80_); trivial. % 0.92/1.10 apply (zenon_L136_); trivial. % 0.92/1.10 (* end of lemma zenon_L207_ *) % 0.92/1.10 assert (zenon_L208_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a33))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a33)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H73 zenon_Ha zenon_H1f1 zenon_Hb6 zenon_H1f2. % 0.92/1.10 generalize (zenon_H73 (a33)). zenon_intro zenon_H1f3. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f4 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.92/1.10 exact (zenon_H1f1 zenon_H1f6). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.92/1.10 generalize (zenon_Hb6 (a33)). zenon_intro zenon_H1f9. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fa ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1fb ]. % 0.92/1.10 exact (zenon_H1f8 zenon_H1fc). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f7 ]. % 0.92/1.10 exact (zenon_H1f1 zenon_H1f6). % 0.92/1.10 exact (zenon_H1f7 zenon_H1f2). % 0.92/1.10 exact (zenon_H1f7 zenon_H1f2). % 0.92/1.10 (* end of lemma zenon_L208_ *) % 0.92/1.10 assert (zenon_L209_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a33))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a33)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1bb zenon_H1aa zenon_H19f zenon_H1b zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H1f1 zenon_Hb6 zenon_H1f2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 0.92/1.10 apply (zenon_L173_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 0.92/1.10 apply (zenon_L126_); trivial. % 0.92/1.10 apply (zenon_L208_); trivial. % 0.92/1.10 (* end of lemma zenon_L209_ *) % 0.92/1.10 assert (zenon_L210_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a33))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a33)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H4d zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H1f1 zenon_Hb6 zenon_H1f2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.10 apply (zenon_L201_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 apply (zenon_L209_); trivial. % 0.92/1.10 (* end of lemma zenon_L210_ *) % 0.92/1.10 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1fd zenon_H121 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H1bd zenon_H11f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H200. zenon_intro zenon_H1f1. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.10 apply (zenon_L83_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.10 apply (zenon_L83_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.10 apply (zenon_L208_); trivial. % 0.92/1.10 apply (zenon_L210_); trivial. % 0.92/1.10 exact (zenon_H11f zenon_H120). % 0.92/1.10 (* end of lemma zenon_L211_ *) % 0.92/1.10 assert (zenon_L212_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H12a zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H38 zenon_H1bf zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.10 apply (zenon_L79_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1fd ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ee ]. % 0.92/1.10 apply (zenon_L199_); trivial. % 0.92/1.10 apply (zenon_L206_); trivial. % 0.92/1.10 apply (zenon_L207_); trivial. % 0.92/1.10 apply (zenon_L211_); trivial. % 0.92/1.10 (* end of lemma zenon_L212_ *) % 0.92/1.10 assert (zenon_L213_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a29)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H4d zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_Hb6 zenon_H77. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.10 apply (zenon_L201_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 apply (zenon_L182_); trivial. % 0.92/1.10 (* end of lemma zenon_L213_ *) % 0.92/1.10 assert (zenon_L214_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a29))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H6d zenon_H121 zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H76 zenon_H1bd zenon_H11f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.10 apply (zenon_L190_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.10 apply (zenon_L190_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_L213_); trivial. % 0.92/1.10 exact (zenon_H11f zenon_H120). % 0.92/1.10 (* end of lemma zenon_L214_ *) % 0.92/1.10 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H121 zenon_H11f zenon_H108 zenon_H10a zenon_H109 zenon_H1bd zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.10 apply (zenon_L155_); trivial. % 0.92/1.10 apply (zenon_L214_); trivial. % 0.92/1.10 (* end of lemma zenon_L215_ *) % 0.92/1.10 assert (zenon_L216_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H188 zenon_H1b9 zenon_H1d6 zenon_H1c8 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1bf zenon_H38 zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H12a zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H11f zenon_H121 zenon_H201 zenon_Hf6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.10 apply (zenon_L212_); trivial. % 0.92/1.10 apply (zenon_L215_); trivial. % 0.92/1.10 (* end of lemma zenon_L216_ *) % 0.92/1.10 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_H1d6 zenon_H1c8 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H202 zenon_H201 zenon_Hf5 zenon_H14c zenon_H1bb zenon_H11f zenon_H121 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H1b9 zenon_He0 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H1bd zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.10 apply (zenon_L187_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.10 apply (zenon_L189_); trivial. % 0.92/1.10 apply (zenon_L194_); trivial. % 0.92/1.10 apply (zenon_L216_); trivial. % 0.92/1.10 (* end of lemma zenon_L217_ *) % 0.92/1.10 assert (zenon_L218_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp19)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H18f zenon_H18e zenon_H18d zenon_H8b zenon_H17 zenon_Ha zenon_H19e zenon_H19f zenon_H11a zenon_H11f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.10 apply (zenon_L145_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.10 apply (zenon_L150_); trivial. % 0.92/1.10 exact (zenon_H11f zenon_H120). % 0.92/1.10 (* end of lemma zenon_L218_ *) % 0.92/1.10 assert (zenon_L219_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp6)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc1 zenon_H121 zenon_H18f zenon_H18e zenon_H18d zenon_H11f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.10 apply (zenon_L145_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.10 apply (zenon_L52_); trivial. % 0.92/1.10 exact (zenon_H11f zenon_H120). % 0.92/1.10 (* end of lemma zenon_L219_ *) % 0.92/1.10 assert (zenon_L220_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (ndr1_0) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc4 zenon_Ha zenon_H18d zenon_H18e zenon_H18f zenon_H11a zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.10 apply (zenon_L218_); trivial. % 0.92/1.10 apply (zenon_L219_); trivial. % 0.92/1.10 (* end of lemma zenon_L220_ *) % 0.92/1.10 assert (zenon_L221_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> (~(hskp7)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H60 zenon_H138 zenon_H17e zenon_H17d zenon_H17c zenon_H85. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb | zenon_intro zenon_H139 ]. % 0.92/1.10 apply (zenon_L6_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H132 | zenon_intro zenon_H86 ]. % 0.92/1.10 apply (zenon_L136_); trivial. % 0.92/1.10 exact (zenon_H85 zenon_H86). % 0.92/1.10 (* end of lemma zenon_L221_ *) % 0.92/1.10 assert (zenon_L222_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.10 apply (zenon_L25_); trivial. % 0.92/1.10 apply (zenon_L221_); trivial. % 0.92/1.10 (* end of lemma zenon_L222_ *) % 0.92/1.10 assert (zenon_L223_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5e zenon_H1bd zenon_H74 zenon_H77 zenon_Hc0 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H3 zenon_H49. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.10 apply (zenon_L21_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.10 apply (zenon_L145_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ]. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 exact (zenon_H2b zenon_H2c). % 0.92/1.10 apply (zenon_L22_); trivial. % 0.92/1.10 (* end of lemma zenon_L223_ *) % 0.92/1.10 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H5 zenon_H127 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_Hc0 zenon_H1bd zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.10 apply (zenon_L223_); trivial. % 0.92/1.10 apply (zenon_L154_); trivial. % 0.92/1.10 (* end of lemma zenon_L224_ *) % 0.92/1.10 assert (zenon_L225_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H106 zenon_H72 zenon_H7 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H188 zenon_H138 zenon_H85 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H127 zenon_H5 zenon_H83 zenon_Ha1 zenon_Hf5. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.10 apply (zenon_L175_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.10 apply (zenon_L178_); trivial. % 0.92/1.10 apply (zenon_L222_); trivial. % 0.92/1.10 apply (zenon_L224_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.10 apply (zenon_L189_); trivial. % 0.92/1.10 apply (zenon_L224_); trivial. % 0.92/1.10 (* end of lemma zenon_L225_ *) % 0.92/1.10 assert (zenon_L226_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_H111 zenon_H1d6 zenon_H1c8 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H202 zenon_H1bb zenon_H201 zenon_Hf5 zenon_Ha1 zenon_H83 zenon_H5 zenon_H127 zenon_H1bd zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H49 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H1b9 zenon_He0 zenon_H176 zenon_H85 zenon_H138 zenon_H188 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H7 zenon_H72 zenon_H106 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.10 apply (zenon_L225_); trivial. % 0.92/1.10 apply (zenon_L216_); trivial. % 0.92/1.10 (* end of lemma zenon_L226_ *) % 0.92/1.10 assert (zenon_L227_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 (* end of lemma zenon_L227_ *) % 0.92/1.10 assert (zenon_L228_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H106 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_Hb4 zenon_Hb2 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_Hae zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_L227_); trivial. % 0.92/1.10 (* end of lemma zenon_L228_ *) % 0.92/1.10 assert (zenon_L229_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp8)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H166 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H15 zenon_H2f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H167 ]. % 0.92/1.10 apply (zenon_L52_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.92/1.10 exact (zenon_H15 zenon_H16). % 0.92/1.10 exact (zenon_H2f zenon_H30). % 0.92/1.10 (* end of lemma zenon_L229_ *) % 0.92/1.10 assert (zenon_L230_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (c0_1 (a20)) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (~(hskp25)) -> (~(hskp9)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9d zenon_H26 zenon_H1e zenon_H1d zenon_Ha zenon_H25 zenon_H98 zenon_H9a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H1b | zenon_intro zenon_Ha0 ]. % 0.92/1.10 apply (zenon_L11_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H99 | zenon_intro zenon_H9b ]. % 0.92/1.10 exact (zenon_H98 zenon_H99). % 0.92/1.10 exact (zenon_H9a zenon_H9b). % 0.92/1.10 (* end of lemma zenon_L230_ *) % 0.92/1.10 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> (~(hskp21)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H32 zenon_H9a zenon_H98 zenon_H9d zenon_H2f zenon_H1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ]. % 0.92/1.10 apply (zenon_L230_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ]. % 0.92/1.10 exact (zenon_H2f zenon_H30). % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 (* end of lemma zenon_L231_ *) % 0.92/1.10 assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hc1 zenon_H72 zenon_H6e zenon_H66 zenon_H65 zenon_H64 zenon_H38 zenon_H32 zenon_H9a zenon_H9d zenon_H2f zenon_H166 zenon_Hae. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.10 apply (zenon_L229_); trivial. % 0.92/1.10 apply (zenon_L231_); trivial. % 0.92/1.10 apply (zenon_L44_); trivial. % 0.92/1.10 apply (zenon_L28_); trivial. % 0.92/1.10 (* end of lemma zenon_L232_ *) % 0.92/1.10 assert (zenon_L233_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H9a zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hc4 zenon_Hf6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.10 apply (zenon_L79_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.10 apply (zenon_L81_); trivial. % 0.92/1.10 apply (zenon_L232_); trivial. % 0.92/1.10 apply (zenon_L142_); trivial. % 0.92/1.10 (* end of lemma zenon_L233_ *) % 0.92/1.10 assert (zenon_L234_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H106 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_Hb4 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_Hae zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5 zenon_H101 zenon_H189. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.10 apply (zenon_L228_); trivial. % 0.92/1.10 apply (zenon_L123_); trivial. % 0.92/1.10 apply (zenon_L233_); trivial. % 0.92/1.10 (* end of lemma zenon_L234_ *) % 0.92/1.10 assert (zenon_L235_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H13d zenon_Ha zenon_He8 zenon_H129 zenon_H12a. % 0.92/1.10 generalize (zenon_H13d (a21)). zenon_intro zenon_H13e. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H9 | zenon_intro zenon_H13f ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.92/1.10 apply (zenon_L92_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12f | zenon_intro zenon_H131 ]. % 0.92/1.10 exact (zenon_H129 zenon_H12f). % 0.92/1.10 exact (zenon_H12a zenon_H131). % 0.92/1.10 (* end of lemma zenon_L235_ *) % 0.92/1.10 assert (zenon_L236_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (~(hskp25)) -> (~(hskp3)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hee zenon_H12a zenon_H129 zenon_Ha zenon_H13d zenon_H98 zenon_Hec. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He8 | zenon_intro zenon_Hef ]. % 0.92/1.10 apply (zenon_L235_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H99 | zenon_intro zenon_Hed ]. % 0.92/1.10 exact (zenon_H98 zenon_H99). % 0.92/1.10 exact (zenon_Hec zenon_Hed). % 0.92/1.10 (* end of lemma zenon_L236_ *) % 0.92/1.10 assert (zenon_L237_ : (forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H73 zenon_Ha zenon_H203 zenon_H204 zenon_H205. % 0.92/1.10 generalize (zenon_H73 (a12)). zenon_intro zenon_H206. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H206); [ zenon_intro zenon_H9 | zenon_intro zenon_H207 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H209 | zenon_intro zenon_H208 ]. % 0.92/1.10 exact (zenon_H203 zenon_H209). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20b | zenon_intro zenon_H20a ]. % 0.92/1.10 exact (zenon_H20b zenon_H204). % 0.92/1.10 exact (zenon_H20a zenon_H205). % 0.92/1.10 (* end of lemma zenon_L237_ *) % 0.92/1.10 assert (zenon_L238_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H6d zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H203 zenon_H204 zenon_H205. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 0.92/1.10 apply (zenon_L17_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 0.92/1.10 apply (zenon_L126_); trivial. % 0.92/1.10 apply (zenon_L237_); trivial. % 0.92/1.10 (* end of lemma zenon_L238_ *) % 0.92/1.10 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H18a zenon_H72 zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13d | zenon_intro zenon_H20d ]. % 0.92/1.10 apply (zenon_L236_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H73 | zenon_intro zenon_H2 ]. % 0.92/1.10 apply (zenon_L237_); trivial. % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 apply (zenon_L44_); trivial. % 0.92/1.10 apply (zenon_L238_); trivial. % 0.92/1.10 (* end of lemma zenon_L239_ *) % 0.92/1.10 assert (zenon_L240_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H20c zenon_H15b zenon_H15a zenon_H159 zenon_H205 zenon_H204 zenon_H203 zenon_Ha zenon_H1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13d | zenon_intro zenon_H20d ]. % 0.92/1.11 apply (zenon_L115_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H73 | zenon_intro zenon_H2 ]. % 0.92/1.11 apply (zenon_L237_); trivial. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 (* end of lemma zenon_L240_ *) % 0.92/1.11 assert (zenon_L241_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.11 apply (zenon_L240_); trivial. % 0.92/1.11 apply (zenon_L50_); trivial. % 0.92/1.11 (* end of lemma zenon_L241_ *) % 0.92/1.11 assert (zenon_L242_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H43 zenon_H47 zenon_H72. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.11 apply (zenon_L241_); trivial. % 0.92/1.11 apply (zenon_L124_); trivial. % 0.92/1.11 (* end of lemma zenon_L242_ *) % 0.92/1.11 assert (zenon_L243_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp8)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H6e zenon_H3c zenon_H3b zenon_H3a zenon_H15 zenon_Ha zenon_H203 zenon_H204 zenon_H205 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H14c zenon_H2f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L17_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ]. % 0.92/1.11 apply (zenon_L103_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ]. % 0.92/1.11 apply (zenon_L237_); trivial. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 exact (zenon_H2f zenon_H30). % 0.92/1.11 (* end of lemma zenon_L243_ *) % 0.92/1.11 assert (zenon_L244_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H6d zenon_H38 zenon_H14a zenon_H2b zenon_H77 zenon_H74 zenon_H76 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L243_); trivial. % 0.92/1.11 apply (zenon_L105_); trivial. % 0.92/1.11 (* end of lemma zenon_L244_ *) % 0.92/1.11 assert (zenon_L245_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H6e zenon_H72 zenon_H47 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_L242_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.11 apply (zenon_L240_); trivial. % 0.92/1.11 apply (zenon_L244_); trivial. % 0.92/1.11 (* end of lemma zenon_L245_ *) % 0.92/1.11 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H18a zenon_H72 zenon_H1bb zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.11 apply (zenon_L240_); trivial. % 0.92/1.11 apply (zenon_L238_); trivial. % 0.92/1.11 (* end of lemma zenon_L246_ *) % 0.92/1.11 assert (zenon_L247_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H199 zenon_H19b zenon_H1bb zenon_H106 zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H14a zenon_H38 zenon_H5f zenon_Hf5 zenon_H111 zenon_H151. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_L242_); trivial. % 0.92/1.11 apply (zenon_L114_); trivial. % 0.92/1.11 apply (zenon_L245_); trivial. % 0.92/1.11 apply (zenon_L125_); trivial. % 0.92/1.11 apply (zenon_L246_); trivial. % 0.92/1.11 (* end of lemma zenon_L247_ *) % 0.92/1.11 assert (zenon_L248_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H20e zenon_H14c zenon_H141 zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H106 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_Hb4 zenon_Ha1 zenon_H9d zenon_H8d zenon_Hae zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5 zenon_H101 zenon_H189 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H1bb zenon_H19b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.11 apply (zenon_L234_); trivial. % 0.92/1.11 apply (zenon_L239_); trivial. % 0.92/1.11 apply (zenon_L247_); trivial. % 0.92/1.11 (* end of lemma zenon_L248_ *) % 0.92/1.11 assert (zenon_L249_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_Ha zenon_H15. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ]. % 0.92/1.11 apply (zenon_L152_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ]. % 0.92/1.11 apply (zenon_L87_); trivial. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 (* end of lemma zenon_L249_ *) % 0.92/1.11 assert (zenon_L250_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H127 zenon_H15 zenon_Ha zenon_H74 zenon_H76 zenon_H77 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H89 zenon_H5. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H123 | zenon_intro zenon_H128 ]. % 0.92/1.11 apply (zenon_L249_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8a | zenon_intro zenon_H6 ]. % 0.92/1.11 exact (zenon_H89 zenon_H8a). % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 (* end of lemma zenon_L250_ *) % 0.92/1.11 assert (zenon_L251_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1b1 zenon_H9a zenon_H98 zenon_H9d zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.11 apply (zenon_L230_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.11 apply (zenon_L160_); trivial. % 0.92/1.11 apply (zenon_L46_); trivial. % 0.92/1.11 (* end of lemma zenon_L251_ *) % 0.92/1.11 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp19)) -> (~(hskp11)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_H9d zenon_H98 zenon_H9a zenon_H1b1 zenon_H8b zenon_H17 zenon_H19e zenon_H19f zenon_H11a zenon_H11f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L251_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.11 apply (zenon_L150_); trivial. % 0.92/1.11 exact (zenon_H11f zenon_H120). % 0.92/1.11 (* end of lemma zenon_L252_ *) % 0.92/1.11 assert (zenon_L253_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha1 zenon_H127 zenon_H5 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H98 zenon_H9a zenon_H9d zenon_H11a zenon_H8b zenon_H17 zenon_H11f zenon_H121 zenon_H38. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L250_); trivial. % 0.92/1.11 apply (zenon_L252_); trivial. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 (* end of lemma zenon_L253_ *) % 0.92/1.11 assert (zenon_L254_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H205 zenon_H204 zenon_H203 zenon_Ha zenon_H15. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H142 | zenon_intro zenon_H14d ]. % 0.92/1.11 apply (zenon_L152_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H73 | zenon_intro zenon_H16 ]. % 0.92/1.11 apply (zenon_L237_); trivial. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 (* end of lemma zenon_L254_ *) % 0.92/1.11 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_H17 zenon_H8b zenon_H11a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L254_); trivial. % 0.92/1.11 apply (zenon_L162_); trivial. % 0.92/1.11 (* end of lemma zenon_L255_ *) % 0.92/1.11 assert (zenon_L256_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp6)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_H9d zenon_H98 zenon_H9a zenon_H1b1 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H11f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L251_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.11 apply (zenon_L52_); trivial. % 0.92/1.11 exact (zenon_H11f zenon_H120). % 0.92/1.11 (* end of lemma zenon_L256_ *) % 0.92/1.11 assert (zenon_L257_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L254_); trivial. % 0.92/1.11 apply (zenon_L256_); trivial. % 0.92/1.11 (* end of lemma zenon_L257_ *) % 0.92/1.11 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp6)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H11f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L161_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.11 apply (zenon_L52_); trivial. % 0.92/1.11 exact (zenon_H11f zenon_H120). % 0.92/1.11 (* end of lemma zenon_L258_ *) % 0.92/1.11 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L254_); trivial. % 0.92/1.11 apply (zenon_L258_); trivial. % 0.92/1.11 (* end of lemma zenon_L259_ *) % 0.92/1.11 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc1 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11f zenon_H121 zenon_H38. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.11 apply (zenon_L257_); trivial. % 0.92/1.11 apply (zenon_L259_); trivial. % 0.92/1.11 (* end of lemma zenon_L260_ *) % 0.92/1.11 assert (zenon_L261_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_Ha1 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H17 zenon_H11f zenon_H121 zenon_H38 zenon_H205 zenon_H204 zenon_H203 zenon_Hae. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.11 apply (zenon_L253_); trivial. % 0.92/1.11 apply (zenon_L255_); trivial. % 0.92/1.11 apply (zenon_L260_); trivial. % 0.92/1.11 (* end of lemma zenon_L261_ *) % 0.92/1.11 assert (zenon_L262_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H60 zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_Hb | zenon_intro zenon_H84 ]. % 0.92/1.11 apply (zenon_L6_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H73 | zenon_intro zenon_H6 ]. % 0.92/1.11 apply (zenon_L237_); trivial. % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 (* end of lemma zenon_L262_ *) % 0.92/1.11 assert (zenon_L263_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_L262_); trivial. % 0.92/1.11 (* end of lemma zenon_L263_ *) % 0.92/1.11 assert (zenon_L264_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H18a zenon_H72 zenon_H1bb zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.11 apply (zenon_L263_); trivial. % 0.92/1.11 apply (zenon_L238_); trivial. % 0.92/1.11 (* end of lemma zenon_L264_ *) % 0.92/1.11 assert (zenon_L265_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H7 zenon_H83 zenon_H5f zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H203 zenon_H204 zenon_H205 zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H14c zenon_H1aa zenon_H5 zenon_H127 zenon_Ha1 zenon_Hf5 zenon_H151. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.11 apply (zenon_L151_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_L86_); trivial. % 0.92/1.11 apply (zenon_L261_); trivial. % 0.92/1.11 apply (zenon_L264_); trivial. % 0.92/1.11 (* end of lemma zenon_L265_ *) % 0.92/1.11 assert (zenon_L266_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.11 apply (zenon_L240_); trivial. % 0.92/1.11 apply (zenon_L67_); trivial. % 0.92/1.11 (* end of lemma zenon_L266_ *) % 0.92/1.11 assert (zenon_L267_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_L86_); trivial. % 0.92/1.11 apply (zenon_L266_); trivial. % 0.92/1.11 (* end of lemma zenon_L267_ *) % 0.92/1.11 assert (zenon_L268_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H106 zenon_Hf0 zenon_Hee zenon_Hec zenon_Hc4 zenon_Hc0 zenon_Hb4 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_Hae zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H14a zenon_Hf5 zenon_H101 zenon_H189 zenon_H188 zenon_H176 zenon_H17a zenon_H141 zenon_H85 zenon_H138 zenon_H16e zenon_H19b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.11 apply (zenon_L234_); trivial. % 0.92/1.11 apply (zenon_L144_); trivial. % 0.92/1.11 apply (zenon_L147_); trivial. % 0.92/1.11 (* end of lemma zenon_L268_ *) % 0.92/1.11 assert (zenon_L269_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H20e zenon_H14c zenon_H162 zenon_H19b zenon_H16e zenon_H138 zenon_H85 zenon_H141 zenon_H17a zenon_H176 zenon_H188 zenon_H189 zenon_H101 zenon_Hf5 zenon_H14a zenon_H72 zenon_H47 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H33 zenon_H2d zenon_H2f zenon_H32 zenon_H38 zenon_H5f zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_Hae zenon_H8d zenon_H9d zenon_Ha1 zenon_Hb4 zenon_Hc0 zenon_Hc4 zenon_Hec zenon_Hee zenon_Hf0 zenon_H106 zenon_H166 zenon_H11a zenon_H111 zenon_H151 zenon_H87 zenon_H19a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.11 apply (zenon_L268_); trivial. % 0.92/1.11 apply (zenon_L148_); trivial. % 0.92/1.11 (* end of lemma zenon_L269_ *) % 0.92/1.11 assert (zenon_L270_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H20f zenon_Ha zenon_H132 zenon_H210 zenon_H211 zenon_H212. % 0.92/1.11 generalize (zenon_H20f (a10)). zenon_intro zenon_H213. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H9 | zenon_intro zenon_H214 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H216 | zenon_intro zenon_H215 ]. % 0.92/1.11 generalize (zenon_H132 (a10)). zenon_intro zenon_H217. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H217); [ zenon_intro zenon_H9 | zenon_intro zenon_H218 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H21a | zenon_intro zenon_H219 ]. % 0.92/1.11 exact (zenon_H210 zenon_H21a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H21c | zenon_intro zenon_H21b ]. % 0.92/1.11 exact (zenon_H211 zenon_H21c). % 0.92/1.11 exact (zenon_H21b zenon_H216). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H21a | zenon_intro zenon_H21d ]. % 0.92/1.11 exact (zenon_H210 zenon_H21a). % 0.92/1.11 exact (zenon_H21d zenon_H212). % 0.92/1.11 (* end of lemma zenon_L270_ *) % 0.92/1.11 assert (zenon_L271_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H43 zenon_H108 zenon_H109 zenon_H10a zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H20f zenon_Ha zenon_H210 zenon_H211 zenon_H212. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.11 apply (zenon_L152_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_L270_); trivial. % 0.92/1.11 (* end of lemma zenon_L271_ *) % 0.92/1.11 assert (zenon_L272_ : (forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H21e zenon_Ha zenon_H210 zenon_H211 zenon_H212. % 0.92/1.11 generalize (zenon_H21e (a10)). zenon_intro zenon_H21f. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_H9 | zenon_intro zenon_H220 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21a | zenon_intro zenon_H221 ]. % 0.92/1.11 exact (zenon_H210 zenon_H21a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ]. % 0.92/1.11 exact (zenon_H211 zenon_H21c). % 0.92/1.11 exact (zenon_H21d zenon_H212). % 0.92/1.11 (* end of lemma zenon_L272_ *) % 0.92/1.11 assert (zenon_L273_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> False). % 0.92/1.11 do 0 intro. intros zenon_He8 zenon_Ha zenon_H39 zenon_Hb7 zenon_Hb8 zenon_Hb9. % 0.92/1.11 generalize (zenon_He8 (a35)). zenon_intro zenon_H222. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H9 | zenon_intro zenon_H223 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H224 | zenon_intro zenon_Hbc ]. % 0.92/1.11 generalize (zenon_H39 (a35)). zenon_intro zenon_H225. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H225); [ zenon_intro zenon_H9 | zenon_intro zenon_H226 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hbd | zenon_intro zenon_H227 ]. % 0.92/1.11 exact (zenon_Hb7 zenon_Hbd). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hbf | zenon_intro zenon_H228 ]. % 0.92/1.11 exact (zenon_Hb8 zenon_Hbf). % 0.92/1.11 exact (zenon_H228 zenon_H224). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.92/1.11 exact (zenon_Hb8 zenon_Hbf). % 0.92/1.11 exact (zenon_Hbe zenon_Hb9). % 0.92/1.11 (* end of lemma zenon_L273_ *) % 0.92/1.11 assert (zenon_L274_ : ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H39 zenon_Ha zenon_H9a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ]. % 0.92/1.11 apply (zenon_L272_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ]. % 0.92/1.11 apply (zenon_L273_); trivial. % 0.92/1.11 exact (zenon_H9a zenon_H9b). % 0.92/1.11 (* end of lemma zenon_L274_ *) % 0.92/1.11 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H22b zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_H9d zenon_H98 zenon_H1b1 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.11 apply (zenon_L271_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L251_); trivial. % 0.92/1.11 apply (zenon_L274_); trivial. % 0.92/1.11 (* end of lemma zenon_L275_ *) % 0.92/1.11 assert (zenon_L276_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H22b zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.11 apply (zenon_L271_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L161_); trivial. % 0.92/1.11 apply (zenon_L274_); trivial. % 0.92/1.11 (* end of lemma zenon_L276_ *) % 0.92/1.11 assert (zenon_L277_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hab zenon_H38 zenon_H22b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H9a zenon_H229 zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L9_); trivial. % 0.92/1.11 apply (zenon_L276_); trivial. % 0.92/1.11 (* end of lemma zenon_L277_ *) % 0.92/1.11 assert (zenon_L278_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H60 zenon_Hae zenon_H19 zenon_H17 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H10a zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H22b zenon_H38. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L9_); trivial. % 0.92/1.11 apply (zenon_L275_); trivial. % 0.92/1.11 apply (zenon_L277_); trivial. % 0.92/1.11 (* end of lemma zenon_L278_ *) % 0.92/1.11 assert (zenon_L279_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5f zenon_Hae zenon_H19 zenon_H17 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H10a zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H22b zenon_H38 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_L278_); trivial. % 0.92/1.11 (* end of lemma zenon_L279_ *) % 0.92/1.11 assert (zenon_L280_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H3 zenon_H57 zenon_H108 zenon_H109 zenon_H10a zenon_H5a zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.11 apply (zenon_L271_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L164_); trivial. % 0.92/1.11 apply (zenon_L17_); trivial. % 0.92/1.11 (* end of lemma zenon_L280_ *) % 0.92/1.11 assert (zenon_L281_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf2 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ]. % 0.92/1.11 apply (zenon_L272_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ]. % 0.92/1.11 apply (zenon_L63_); trivial. % 0.92/1.11 exact (zenon_H9a zenon_H9b). % 0.92/1.11 (* end of lemma zenon_L281_ *) % 0.92/1.11 assert (zenon_L282_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_H43 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 apply (zenon_L62_); trivial. % 0.92/1.11 (* end of lemma zenon_L282_ *) % 0.92/1.11 assert (zenon_L283_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_L282_); trivial. % 0.92/1.11 apply (zenon_L281_); trivial. % 0.92/1.11 (* end of lemma zenon_L283_ *) % 0.92/1.11 assert (zenon_L284_ : ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H132 zenon_H9a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ]. % 0.92/1.11 apply (zenon_L272_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ]. % 0.92/1.11 apply (zenon_L93_); trivial. % 0.92/1.11 exact (zenon_H9a zenon_H9b). % 0.92/1.11 (* end of lemma zenon_L284_ *) % 0.92/1.11 assert (zenon_L285_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp9)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp7)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H60 zenon_H138 zenon_H9a zenon_H129 zenon_H12a zenon_H133 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H85. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb | zenon_intro zenon_H139 ]. % 0.92/1.11 apply (zenon_L6_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H132 | zenon_intro zenon_H86 ]. % 0.92/1.11 apply (zenon_L284_); trivial. % 0.92/1.11 exact (zenon_H85 zenon_H86). % 0.92/1.11 (* end of lemma zenon_L285_ *) % 0.92/1.11 assert (zenon_L286_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5f zenon_H138 zenon_H85 zenon_H210 zenon_H211 zenon_H212 zenon_H129 zenon_H12a zenon_H133 zenon_H9a zenon_H229 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.11 apply (zenon_L25_); trivial. % 0.92/1.11 apply (zenon_L285_); trivial. % 0.92/1.11 (* end of lemma zenon_L286_ *) % 0.92/1.11 assert (zenon_L287_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_He4 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H43 zenon_H108 zenon_H109 zenon_H10a zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H133 zenon_H12a zenon_H129 zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.11 apply (zenon_L152_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_L284_); trivial. % 0.92/1.11 (* end of lemma zenon_L287_ *) % 0.92/1.11 assert (zenon_L288_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H229 zenon_H9a zenon_H133 zenon_H12a zenon_H129 zenon_H212 zenon_H211 zenon_H210 zenon_H1b9 zenon_Hf6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 apply (zenon_L287_); trivial. % 0.92/1.11 apply (zenon_L281_); trivial. % 0.92/1.11 (* end of lemma zenon_L288_ *) % 0.92/1.11 assert (zenon_L289_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H19b zenon_H138 zenon_H85 zenon_H49 zenon_H5e zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_He0 zenon_Hae zenon_H19 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_H22b zenon_H38 zenon_H5a zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H111 zenon_H106 zenon_H151. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.11 apply (zenon_L151_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.11 apply (zenon_L188_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.11 apply (zenon_L81_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.11 apply (zenon_L279_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.11 apply (zenon_L280_); trivial. % 0.92/1.11 apply (zenon_L278_); trivial. % 0.92/1.11 apply (zenon_L281_); trivial. % 0.92/1.11 apply (zenon_L283_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_L286_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_L189_); trivial. % 0.92/1.11 apply (zenon_L281_); trivial. % 0.92/1.11 apply (zenon_L288_); trivial. % 0.92/1.11 (* end of lemma zenon_L289_ *) % 0.92/1.11 assert (zenon_L290_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1e8 zenon_Ha zenon_H210 zenon_H22d zenon_H211 zenon_H212. % 0.92/1.11 generalize (zenon_H1e8 (a10)). zenon_intro zenon_H22e. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H22e); [ zenon_intro zenon_H9 | zenon_intro zenon_H22f ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H21a | zenon_intro zenon_H230 ]. % 0.92/1.11 exact (zenon_H210 zenon_H21a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H21b | zenon_intro zenon_H21d ]. % 0.92/1.11 generalize (zenon_H22d (a10)). zenon_intro zenon_H231. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_H9 | zenon_intro zenon_H232 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H216 | zenon_intro zenon_H233 ]. % 0.92/1.11 exact (zenon_H21b zenon_H216). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H21a | zenon_intro zenon_H21c ]. % 0.92/1.11 exact (zenon_H210 zenon_H21a). % 0.92/1.11 exact (zenon_H211 zenon_H21c). % 0.92/1.11 exact (zenon_H21d zenon_H212). % 0.92/1.11 (* end of lemma zenon_L290_ *) % 0.92/1.11 assert (zenon_L291_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a10))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H212 zenon_H211 zenon_H22d zenon_H210 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ]. % 0.92/1.11 apply (zenon_L115_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ]. % 0.92/1.11 apply (zenon_L290_); trivial. % 0.92/1.11 apply (zenon_L46_); trivial. % 0.92/1.11 (* end of lemma zenon_L291_ *) % 0.92/1.11 assert (zenon_L292_ : (~(hskp1)) -> (hskp1) -> False). % 0.92/1.11 do 0 intro. intros zenon_H234 zenon_H235. % 0.92/1.11 exact (zenon_H234 zenon_H235). % 0.92/1.11 (* end of lemma zenon_L292_ *) % 0.92/1.11 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H236 zenon_H210 zenon_H211 zenon_H212 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_He zenon_Hd zenon_Hc zenon_H234. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H22d | zenon_intro zenon_H237 ]. % 0.92/1.11 apply (zenon_L291_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_Hb | zenon_intro zenon_H235 ]. % 0.92/1.11 apply (zenon_L6_); trivial. % 0.92/1.11 exact (zenon_H234 zenon_H235). % 0.92/1.11 (* end of lemma zenon_L293_ *) % 0.92/1.11 assert (zenon_L294_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H60 zenon_H38 zenon_H236 zenon_H234 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H17 zenon_H19. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L9_); trivial. % 0.92/1.11 apply (zenon_L293_); trivial. % 0.92/1.11 (* end of lemma zenon_L294_ *) % 0.92/1.11 assert (zenon_L295_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5f zenon_H38 zenon_H236 zenon_H234 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H17 zenon_H19 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_L294_); trivial. % 0.92/1.11 (* end of lemma zenon_L295_ *) % 0.92/1.11 assert (zenon_L296_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf6 zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_He0 zenon_H5a zenon_H57 zenon_H22b zenon_H19 zenon_H17 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.11 apply (zenon_L188_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.11 apply (zenon_L295_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.11 apply (zenon_L280_); trivial. % 0.92/1.11 apply (zenon_L294_); trivial. % 0.92/1.11 (* end of lemma zenon_L296_ *) % 0.92/1.11 assert (zenon_L297_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_Hf0 zenon_Hb2 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_L282_); trivial. % 0.92/1.11 apply (zenon_L156_); trivial. % 0.92/1.11 (* end of lemma zenon_L297_ *) % 0.92/1.11 assert (zenon_L298_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp2)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H31 zenon_H238 zenon_H210 zenon_H211 zenon_H212 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H77 zenon_H74 zenon_H76 zenon_H2d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ]. % 0.92/1.11 apply (zenon_L291_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ]. % 0.92/1.11 apply (zenon_L63_); trivial. % 0.92/1.11 exact (zenon_H2d zenon_H2e). % 0.92/1.11 (* end of lemma zenon_L298_ *) % 0.92/1.11 assert (zenon_L299_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H38 zenon_H238 zenon_H2d zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H89 zenon_H5 zenon_H127. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L250_); trivial. % 0.92/1.11 apply (zenon_L298_); trivial. % 0.92/1.11 (* end of lemma zenon_L299_ *) % 0.92/1.11 assert (zenon_L300_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H90 zenon_H91 zenon_H8f zenon_H22d zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H20f zenon_Ha zenon_H210 zenon_H211 zenon_H212. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.11 apply (zenon_L152_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ]. % 0.92/1.11 apply (zenon_L115_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ]. % 0.92/1.11 apply (zenon_L290_); trivial. % 0.92/1.11 apply (zenon_L110_); trivial. % 0.92/1.11 apply (zenon_L270_); trivial. % 0.92/1.11 (* end of lemma zenon_L300_ *) % 0.92/1.11 assert (zenon_L301_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H23a zenon_Ha zenon_H16b zenon_H15a zenon_H15b zenon_H159. % 0.92/1.11 generalize (zenon_H23a (a15)). zenon_intro zenon_H23b. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H23b); [ zenon_intro zenon_H9 | zenon_intro zenon_H23c ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23e | zenon_intro zenon_H23d ]. % 0.92/1.11 generalize (zenon_H16b (a15)). zenon_intro zenon_H23f. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H9 | zenon_intro zenon_H240 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H161 | zenon_intro zenon_H241 ]. % 0.92/1.11 exact (zenon_H15a zenon_H161). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H160 | zenon_intro zenon_H242 ]. % 0.92/1.11 exact (zenon_H15b zenon_H160). % 0.92/1.11 exact (zenon_H242 zenon_H23e). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15f | zenon_intro zenon_H161 ]. % 0.92/1.11 exact (zenon_H159 zenon_H15f). % 0.92/1.11 exact (zenon_H15a zenon_H161). % 0.92/1.11 (* end of lemma zenon_L301_ *) % 0.92/1.11 assert (zenon_L302_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H159 zenon_H15b zenon_H15a zenon_H23a zenon_Ha zenon_H74 zenon_H75 zenon_H76 zenon_H77. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 0.92/1.11 apply (zenon_L17_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 0.92/1.11 apply (zenon_L301_); trivial. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 (* end of lemma zenon_L302_ *) % 0.92/1.11 assert (zenon_L303_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H1ec zenon_H22d zenon_H8f zenon_H91 zenon_H90 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.11 apply (zenon_L300_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L302_); trivial. % 0.92/1.11 apply (zenon_L17_); trivial. % 0.92/1.11 (* end of lemma zenon_L303_ *) % 0.92/1.11 assert (zenon_L304_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H238 zenon_H3c zenon_H3b zenon_H3a zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H23a zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H90 zenon_H91 zenon_H8f zenon_H1ec zenon_H210 zenon_H211 zenon_H212 zenon_H22b zenon_H77 zenon_H74 zenon_H76 zenon_Ha zenon_H2d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ]. % 0.92/1.11 apply (zenon_L303_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ]. % 0.92/1.11 apply (zenon_L63_); trivial. % 0.92/1.11 exact (zenon_H2d zenon_H2e). % 0.92/1.11 (* end of lemma zenon_L304_ *) % 0.92/1.11 assert (zenon_L305_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a26))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c3_1 (a26)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hf8 zenon_Hc5 zenon_Hfa. % 0.92/1.11 generalize (zenon_Hb (a26)). zenon_intro zenon_H243. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_H9 | zenon_intro zenon_H244 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hfe | zenon_intro zenon_H245 ]. % 0.92/1.11 exact (zenon_Hf8 zenon_Hfe). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H246 | zenon_intro zenon_Hff ]. % 0.92/1.11 generalize (zenon_Hc5 (a26)). zenon_intro zenon_H247. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H9 | zenon_intro zenon_H248 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hfe | zenon_intro zenon_H249 ]. % 0.92/1.11 exact (zenon_Hf8 zenon_Hfe). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24a | zenon_intro zenon_Hff ]. % 0.92/1.11 exact (zenon_H24a zenon_H246). % 0.92/1.11 exact (zenon_Hff zenon_Hfa). % 0.92/1.11 exact (zenon_Hff zenon_Hfa). % 0.92/1.11 (* end of lemma zenon_L305_ *) % 0.92/1.11 assert (zenon_L306_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H24b zenon_H15 zenon_H74 zenon_H76 zenon_H77 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_Hd1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 0.92/1.11 apply (zenon_L249_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 0.92/1.11 apply (zenon_L305_); trivial. % 0.92/1.11 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.11 (* end of lemma zenon_L306_ *) % 0.92/1.11 assert (zenon_L307_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H9c zenon_H38 zenon_H238 zenon_H2d zenon_H1b9 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bb zenon_H77 zenon_H76 zenon_H74 zenon_H3c zenon_H3b zenon_H3a zenon_H22b zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H14c zenon_H108 zenon_H109 zenon_H10a zenon_H24d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.11 apply (zenon_L304_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.11 apply (zenon_L306_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_L298_); trivial. % 0.92/1.11 (* end of lemma zenon_L307_ *) % 0.92/1.11 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H1b9 zenon_H1bb zenon_H22b zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H108 zenon_H109 zenon_H10a zenon_H24d zenon_H14c zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H2d zenon_H238 zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.11 apply (zenon_L155_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.11 apply (zenon_L299_); trivial. % 0.92/1.11 apply (zenon_L307_); trivial. % 0.92/1.11 (* end of lemma zenon_L308_ *) % 0.92/1.11 assert (zenon_L309_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H1b9 zenon_H1bb zenon_H22b zenon_H24b zenon_Hfa zenon_Hf8 zenon_H24d zenon_H14c zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H2d zenon_H238 zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L282_); trivial. % 0.92/1.12 apply (zenon_L308_); trivial. % 0.92/1.12 (* end of lemma zenon_L309_ *) % 0.92/1.12 assert (zenon_L310_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H151 zenon_H189 zenon_H238 zenon_H2d zenon_H14c zenon_H24d zenon_H24b zenon_H1bb zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H236 zenon_H234 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H19 zenon_H22b zenon_H5a zenon_He0 zenon_H1b9 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H111 zenon_H106 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.12 apply (zenon_L151_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L296_); trivial. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 apply (zenon_L297_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L296_); trivial. % 0.92/1.12 apply (zenon_L308_); trivial. % 0.92/1.12 apply (zenon_L309_); trivial. % 0.92/1.12 (* end of lemma zenon_L310_ *) % 0.92/1.12 assert (zenon_L311_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H106 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H188 zenon_H17a zenon_H178 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_Ha1 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_Hb2 zenon_Hf0 zenon_H72 zenon_Hf5. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L181_); trivial. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L189_); trivial. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 (* end of lemma zenon_L311_ *) % 0.92/1.12 assert (zenon_L312_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hb6 zenon_Ha zenon_H17c zenon_H17d zenon_H17e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.12 apply (zenon_L152_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.12 apply (zenon_L149_); trivial. % 0.92/1.12 apply (zenon_L136_); trivial. % 0.92/1.12 (* end of lemma zenon_L312_ *) % 0.92/1.12 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H185 zenon_Hc0 zenon_H2b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2c ]. % 0.92/1.12 apply (zenon_L312_); trivial. % 0.92/1.12 exact (zenon_H2b zenon_H2c). % 0.92/1.12 (* end of lemma zenon_L313_ *) % 0.92/1.12 assert (zenon_L314_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H168 zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H101 zenon_H176 zenon_H14a zenon_H2b zenon_H178 zenon_H17a zenon_H38 zenon_H5f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.12 apply (zenon_L135_); trivial. % 0.92/1.12 apply (zenon_L313_); trivial. % 0.92/1.12 (* end of lemma zenon_L314_ *) % 0.92/1.12 assert (zenon_L315_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H38 zenon_H236 zenon_H234 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H174 zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L176_); trivial. % 0.92/1.12 apply (zenon_L293_); trivial. % 0.92/1.12 (* end of lemma zenon_L315_ *) % 0.92/1.12 assert (zenon_L316_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H176 zenon_H43 zenon_He0 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.12 apply (zenon_L79_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_L127_); trivial. % 0.92/1.12 apply (zenon_L315_); trivial. % 0.92/1.12 apply (zenon_L207_); trivial. % 0.92/1.12 (* end of lemma zenon_L316_ *) % 0.92/1.12 assert (zenon_L317_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (c1_1 (a8)) -> (c2_1 (a8)) -> (c3_1 (a8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H8f zenon_H90 zenon_H91. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.12 apply (zenon_L305_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.12 apply (zenon_L152_); trivial. % 0.92/1.12 apply (zenon_L38_); trivial. % 0.92/1.12 (* end of lemma zenon_L317_ *) % 0.92/1.12 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H9c zenon_H24d zenon_H2d zenon_H76 zenon_H74 zenon_H77 zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H1ec zenon_H1b9 zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H3a zenon_H3b zenon_H3c zenon_H238 zenon_H19e zenon_H19f zenon_H1aa zenon_Hf8 zenon_Hfa zenon_H162 zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.12 apply (zenon_L304_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.12 apply (zenon_L317_); trivial. % 0.92/1.12 apply (zenon_L78_); trivial. % 0.92/1.12 (* end of lemma zenon_L318_ *) % 0.92/1.12 assert (zenon_L319_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H24d zenon_H10a zenon_H109 zenon_H108 zenon_Hf8 zenon_Hfa zenon_H22b zenon_H1bb zenon_H1b9 zenon_H14c zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H2d zenon_H238 zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.12 apply (zenon_L155_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.12 apply (zenon_L299_); trivial. % 0.92/1.12 apply (zenon_L318_); trivial. % 0.92/1.12 (* end of lemma zenon_L319_ *) % 0.92/1.12 assert (zenon_L320_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14e zenon_H189 zenon_H24d zenon_H22b zenon_H1bb zenon_H14c zenon_H2d zenon_H238 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H176 zenon_He0 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_H111 zenon_Ha1 zenon_H162 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_Hf0 zenon_H72 zenon_Hf5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L316_); trivial. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L316_); trivial. % 0.92/1.12 apply (zenon_L319_); trivial. % 0.92/1.12 (* end of lemma zenon_L320_ *) % 0.92/1.12 assert (zenon_L321_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H38 zenon_H22b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H229 zenon_H9d zenon_H9a zenon_H98 zenon_H1b1 zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_L275_); trivial. % 0.92/1.12 (* end of lemma zenon_L321_ *) % 0.92/1.12 assert (zenon_L322_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H9a zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hc4 zenon_Hf6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.12 apply (zenon_L79_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.12 apply (zenon_L81_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.12 apply (zenon_L321_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_L276_); trivial. % 0.92/1.12 apply (zenon_L281_); trivial. % 0.92/1.12 (* end of lemma zenon_L322_ *) % 0.92/1.12 assert (zenon_L323_ : ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53))))) -> (~(hskp9)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H12a zenon_H129 zenon_Ha zenon_H13d zenon_H9a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ]. % 0.92/1.12 apply (zenon_L272_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ]. % 0.92/1.12 apply (zenon_L235_); trivial. % 0.92/1.12 exact (zenon_H9a zenon_H9b). % 0.92/1.12 (* end of lemma zenon_L323_ *) % 0.92/1.12 assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H18a zenon_H72 zenon_H1bb zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H203 zenon_H204 zenon_H205 zenon_H20c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13d | zenon_intro zenon_H20d ]. % 0.92/1.12 apply (zenon_L323_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H73 | zenon_intro zenon_H2 ]. % 0.92/1.12 apply (zenon_L237_); trivial. % 0.92/1.12 exact (zenon_H1 zenon_H2). % 0.92/1.12 apply (zenon_L238_); trivial. % 0.92/1.12 (* end of lemma zenon_L324_ *) % 0.92/1.12 assert (zenon_L325_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_H22b zenon_H38 zenon_He0 zenon_H111 zenon_Hf5 zenon_H151. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.12 apply (zenon_L151_); trivial. % 0.92/1.12 apply (zenon_L322_); trivial. % 0.92/1.12 apply (zenon_L324_); trivial. % 0.92/1.12 (* end of lemma zenon_L325_ *) % 0.92/1.12 assert (zenon_L326_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H1b zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ]. % 0.92/1.12 apply (zenon_L115_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ]. % 0.92/1.12 apply (zenon_L203_); trivial. % 0.92/1.12 apply (zenon_L46_); trivial. % 0.92/1.12 (* end of lemma zenon_L326_ *) % 0.92/1.12 assert (zenon_L327_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H4d zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.12 apply (zenon_L201_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.12 apply (zenon_L152_); trivial. % 0.92/1.12 apply (zenon_L326_); trivial. % 0.92/1.12 (* end of lemma zenon_L327_ *) % 0.92/1.12 assert (zenon_L328_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H38 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.12 apply (zenon_L168_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.12 apply (zenon_L237_); trivial. % 0.92/1.12 apply (zenon_L327_); trivial. % 0.92/1.12 (* end of lemma zenon_L328_ *) % 0.92/1.12 assert (zenon_L329_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf6 zenon_H1bd zenon_H1b1 zenon_H162 zenon_H14c zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H5a zenon_H57 zenon_H22b zenon_H7 zenon_H5 zenon_H19 zenon_H17 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H43 zenon_H47 zenon_H72. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.12 apply (zenon_L241_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.12 apply (zenon_L295_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_L280_); trivial. % 0.92/1.12 apply (zenon_L328_); trivial. % 0.92/1.12 (* end of lemma zenon_L329_ *) % 0.92/1.12 assert (zenon_L330_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H24f zenon_H20e zenon_H106 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_H1bd zenon_H162 zenon_H5a zenon_H7 zenon_H5 zenon_H19 zenon_H1ec zenon_H234 zenon_H236 zenon_H5f zenon_H47 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_H24d zenon_H2d zenon_H238 zenon_H24b zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.12 apply (zenon_L325_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.12 apply (zenon_L151_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L329_); trivial. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 apply (zenon_L297_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L329_); trivial. % 0.92/1.12 apply (zenon_L319_); trivial. % 0.92/1.12 apply (zenon_L309_); trivial. % 0.92/1.12 apply (zenon_L246_); trivial. % 0.92/1.12 (* end of lemma zenon_L330_ *) % 0.92/1.12 assert (zenon_L331_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H23a zenon_Ha zenon_H252 zenon_H253 zenon_H254. % 0.92/1.12 generalize (zenon_H23a (a9)). zenon_intro zenon_H255. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H9 | zenon_intro zenon_H256 ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 0.92/1.12 exact (zenon_H252 zenon_H258). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 0.92/1.12 exact (zenon_H253 zenon_H25a). % 0.92/1.12 exact (zenon_H254 zenon_H259). % 0.92/1.12 (* end of lemma zenon_L331_ *) % 0.92/1.12 assert (zenon_L332_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H103 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.12 apply (zenon_L331_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.12 apply (zenon_L56_); trivial. % 0.92/1.12 apply (zenon_L78_); trivial. % 0.92/1.12 (* end of lemma zenon_L332_ *) % 0.92/1.12 assert (zenon_L333_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H5f zenon_H162 zenon_H43 zenon_H45 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_L127_); trivial. % 0.92/1.12 apply (zenon_L174_); trivial. % 0.92/1.12 (* end of lemma zenon_L333_ *) % 0.92/1.12 assert (zenon_L334_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H43 zenon_H162 zenon_H5f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.12 apply (zenon_L333_); trivial. % 0.92/1.12 apply (zenon_L62_); trivial. % 0.92/1.12 (* end of lemma zenon_L334_ *) % 0.92/1.12 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1bb zenon_H11f zenon_H121 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_L127_); trivial. % 0.92/1.12 apply (zenon_L185_); trivial. % 0.92/1.12 (* end of lemma zenon_L335_ *) % 0.92/1.12 assert (zenon_L336_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H121 zenon_H77 zenon_H74 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H5a zenon_H57 zenon_H3 zenon_H1bd zenon_H11f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L164_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.12 apply (zenon_L164_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.12 apply (zenon_L119_); trivial. % 0.92/1.12 apply (zenon_L213_); trivial. % 0.92/1.12 exact (zenon_H11f zenon_H120). % 0.92/1.12 (* end of lemma zenon_L336_ *) % 0.92/1.12 assert (zenon_L337_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H31 zenon_H121 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_Hc zenon_Hd zenon_He zenon_H162 zenon_H11f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L168_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.12 apply (zenon_L183_); trivial. % 0.92/1.12 exact (zenon_H11f zenon_H120). % 0.92/1.12 (* end of lemma zenon_L337_ *) % 0.92/1.12 assert (zenon_L338_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H1b1 zenon_H14c zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_L336_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L184_); trivial. % 0.92/1.12 apply (zenon_L337_); trivial. % 0.92/1.12 (* end of lemma zenon_L338_ *) % 0.92/1.12 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H12a zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H38 zenon_H1bf zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_H111 zenon_H5a zenon_H14c zenon_H5f zenon_Hf5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L212_); trivial. % 0.92/1.12 apply (zenon_L338_); trivial. % 0.92/1.12 apply (zenon_L332_); trivial. % 0.92/1.12 (* end of lemma zenon_L339_ *) % 0.92/1.12 assert (zenon_L340_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H19b zenon_H201 zenon_H1bd zenon_H202 zenon_H1ec zenon_H1bf zenon_H1c8 zenon_H1d6 zenon_H1bb zenon_H47 zenon_H49 zenon_H5e zenon_H14a zenon_H1b9 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H16e zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf5 zenon_H5f zenon_H162 zenon_H5a zenon_Hee zenon_Hec zenon_H1aa zenon_H14c zenon_H1b1 zenon_H38 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H151. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.12 apply (zenon_L151_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_L171_); trivial. % 0.92/1.12 apply (zenon_L332_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_L187_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L334_); trivial. % 0.92/1.12 apply (zenon_L335_); trivial. % 0.92/1.12 apply (zenon_L339_); trivial. % 0.92/1.12 (* end of lemma zenon_L340_ *) % 0.92/1.12 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp6)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H185 zenon_H121 zenon_H18f zenon_H18e zenon_H18d zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H11f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L145_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.12 apply (zenon_L312_); trivial. % 0.92/1.12 exact (zenon_H11f zenon_H120). % 0.92/1.12 (* end of lemma zenon_L341_ *) % 0.92/1.12 assert (zenon_L342_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf5 zenon_H14c zenon_H1bb zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H18d zenon_H18e zenon_H18f zenon_H11f zenon_H121 zenon_H188 zenon_Hf6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.12 apply (zenon_L178_); trivial. % 0.92/1.12 apply (zenon_L341_); trivial. % 0.92/1.12 apply (zenon_L186_); trivial. % 0.92/1.12 (* end of lemma zenon_L342_ *) % 0.92/1.12 assert (zenon_L343_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H121 zenon_H18f zenon_H18e zenon_H18d zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H162 zenon_H11f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L145_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.12 apply (zenon_L183_); trivial. % 0.92/1.12 exact (zenon_H11f zenon_H120). % 0.92/1.12 (* end of lemma zenon_L343_ *) % 0.92/1.12 assert (zenon_L344_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H1bd zenon_H11f zenon_H121 zenon_H5e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.12 apply (zenon_L21_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L145_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.12 apply (zenon_L145_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.12 apply (zenon_L119_); trivial. % 0.92/1.12 apply (zenon_L22_); trivial. % 0.92/1.12 exact (zenon_H11f zenon_H120). % 0.92/1.12 apply (zenon_L343_); trivial. % 0.92/1.12 (* end of lemma zenon_L344_ *) % 0.92/1.12 assert (zenon_L345_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H106 zenon_H1bd zenon_Hec zenon_H16e zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H188 zenon_H121 zenon_H11f zenon_H18f zenon_H18e zenon_H18d zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H1bb zenon_H14c zenon_Hf5. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_L342_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L334_); trivial. % 0.92/1.12 apply (zenon_L344_); trivial. % 0.92/1.12 (* end of lemma zenon_L345_ *) % 0.92/1.12 assert (zenon_L346_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H38 zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H11a zenon_H8b zenon_H17 zenon_H11f zenon_H121. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L159_); trivial. % 0.92/1.12 apply (zenon_L252_); trivial. % 0.92/1.12 (* end of lemma zenon_L346_ *) % 0.92/1.12 assert (zenon_L347_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H1aa zenon_H14c zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_H5a zenon_H162 zenon_H5f zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.12 apply (zenon_L151_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L86_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.12 apply (zenon_L346_); trivial. % 0.92/1.12 apply (zenon_L163_); trivial. % 0.92/1.12 apply (zenon_L170_); trivial. % 0.92/1.12 apply (zenon_L332_); trivial. % 0.92/1.12 (* end of lemma zenon_L347_ *) % 0.92/1.12 assert (zenon_L348_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1bb zenon_H1aa zenon_H19f zenon_H1b zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H203 zenon_H204 zenon_H205. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 0.92/1.12 apply (zenon_L173_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 0.92/1.12 apply (zenon_L126_); trivial. % 0.92/1.12 apply (zenon_L237_); trivial. % 0.92/1.12 (* end of lemma zenon_L348_ *) % 0.92/1.12 assert (zenon_L349_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H162 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_H203 zenon_H204 zenon_H205. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.12 apply (zenon_L6_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.12 apply (zenon_L152_); trivial. % 0.92/1.12 apply (zenon_L348_); trivial. % 0.92/1.12 (* end of lemma zenon_L349_ *) % 0.92/1.12 assert (zenon_L350_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H5f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_L25_); trivial. % 0.92/1.12 apply (zenon_L349_); trivial. % 0.92/1.12 (* end of lemma zenon_L350_ *) % 0.92/1.12 assert (zenon_L351_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H59 zenon_H1b1 zenon_H9a zenon_H98 zenon_H9d zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.12 apply (zenon_L230_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.12 apply (zenon_L22_); trivial. % 0.92/1.12 apply (zenon_L46_); trivial. % 0.92/1.12 (* end of lemma zenon_L351_ *) % 0.92/1.12 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H31 zenon_H5e zenon_H1b1 zenon_H98 zenon_H9a zenon_H9d zenon_H2b zenon_H3 zenon_H49. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.12 apply (zenon_L21_); trivial. % 0.92/1.12 apply (zenon_L351_); trivial. % 0.92/1.12 (* end of lemma zenon_L352_ *) % 0.92/1.12 assert (zenon_L353_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H59 zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.12 apply (zenon_L43_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.12 apply (zenon_L22_); trivial. % 0.92/1.12 apply (zenon_L46_); trivial. % 0.92/1.12 (* end of lemma zenon_L353_ *) % 0.92/1.12 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H31 zenon_H5e zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H2b zenon_H3 zenon_H49. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.12 apply (zenon_L21_); trivial. % 0.92/1.12 apply (zenon_L353_); trivial. % 0.92/1.12 (* end of lemma zenon_L354_ *) % 0.92/1.12 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hab zenon_H38 zenon_H5e zenon_H1b1 zenon_H2b zenon_H3 zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_L354_); trivial. % 0.92/1.12 (* end of lemma zenon_L355_ *) % 0.92/1.12 assert (zenon_L356_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H49 zenon_H3 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_L352_); trivial. % 0.92/1.12 apply (zenon_L355_); trivial. % 0.92/1.12 (* end of lemma zenon_L356_ *) % 0.92/1.12 assert (zenon_L357_ : (forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H63 zenon_Ha zenon_H1b zenon_H1d zenon_H1e. % 0.92/1.12 generalize (zenon_H63 (a20)). zenon_intro zenon_H25b. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H9 | zenon_intro zenon_H25c ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H1c | zenon_intro zenon_H21 ]. % 0.92/1.12 apply (zenon_L10_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.92/1.12 exact (zenon_H24 zenon_H1d). % 0.92/1.12 exact (zenon_H23 zenon_H1e). % 0.92/1.12 (* end of lemma zenon_L357_ *) % 0.92/1.12 assert (zenon_L358_ : ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c1_1 (a36)) -> (c0_1 (a36)) -> (~(c2_1 (a36))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.92/1.12 do 0 intro. intros zenon_He0 zenon_H1e zenon_H1d zenon_H1b zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Ha zenon_H43. % 0.92/1.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ]. % 0.92/1.12 apply (zenon_L357_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ]. % 0.92/1.12 apply (zenon_L60_); trivial. % 0.92/1.12 exact (zenon_H43 zenon_H44). % 0.92/1.12 (* end of lemma zenon_L358_ *) % 0.92/1.12 assert (zenon_L359_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a36))) -> (c0_1 (a36)) -> (c1_1 (a36)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H60 zenon_H38 zenon_H162 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.12 apply (zenon_L6_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.12 apply (zenon_L152_); trivial. % 0.92/1.12 apply (zenon_L358_); trivial. % 0.92/1.12 (* end of lemma zenon_L359_ *) % 0.92/1.12 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hdf zenon_H5f zenon_H162 zenon_H43 zenon_He0 zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Ha. zenon_intro zenon_He1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_L356_); trivial. % 0.92/1.12 apply (zenon_L359_); trivial. % 0.92/1.12 (* end of lemma zenon_L360_ *) % 0.92/1.12 assert (zenon_L361_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H14a zenon_H2b zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_L105_); trivial. % 0.92/1.12 (* end of lemma zenon_L361_ *) % 0.92/1.12 assert (zenon_L362_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_Hd3 zenon_Hd1 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38 zenon_He0 zenon_H162 zenon_H5f zenon_He5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ]. % 0.92/1.12 apply (zenon_L59_); trivial. % 0.92/1.12 apply (zenon_L360_); trivial. % 0.92/1.12 apply (zenon_L361_); trivial. % 0.92/1.12 (* end of lemma zenon_L362_ *) % 0.92/1.12 assert (zenon_L363_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H203 zenon_H204 zenon_H205 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.12 apply (zenon_L336_); trivial. % 0.92/1.12 apply (zenon_L349_); trivial. % 0.92/1.12 (* end of lemma zenon_L363_ *) % 0.92/1.12 assert (zenon_L364_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H12a zenon_H1ec zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H38 zenon_H1bf zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_H111 zenon_H5a zenon_H5f zenon_Hf5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.12 apply (zenon_L79_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1fd ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ee ]. % 0.92/1.12 apply (zenon_L199_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1d9. zenon_intro zenon_H1f0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_L205_); trivial. % 0.92/1.12 apply (zenon_L207_); trivial. % 0.92/1.12 apply (zenon_L211_); trivial. % 0.92/1.12 apply (zenon_L363_); trivial. % 0.92/1.12 apply (zenon_L332_); trivial. % 0.92/1.12 (* end of lemma zenon_L364_ *) % 0.92/1.12 assert (zenon_L365_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1bd zenon_H3 zenon_H57 zenon_H5a zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.12 apply (zenon_L164_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.12 apply (zenon_L87_); trivial. % 0.92/1.12 apply (zenon_L327_); trivial. % 0.92/1.12 (* end of lemma zenon_L365_ *) % 0.92/1.12 assert (zenon_L366_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H24b zenon_H1e zenon_H1d zenon_H26 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H19e zenon_H19f zenon_H1aa zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H74 zenon_H76 zenon_H77 zenon_H5a zenon_H57 zenon_H3 zenon_H1bd zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_Hd1. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 0.92/1.13 apply (zenon_L365_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_L305_); trivial. % 0.92/1.13 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.13 (* end of lemma zenon_L366_ *) % 0.92/1.13 assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp4)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H31 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hd1 zenon_Hf8 zenon_Hfa zenon_H1bd zenon_H3 zenon_H57 zenon_H5a zenon_H77 zenon_H76 zenon_H74 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H24b zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.13 apply (zenon_L331_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.13 apply (zenon_L366_); trivial. % 0.92/1.13 apply (zenon_L78_); trivial. % 0.92/1.13 (* end of lemma zenon_L367_ *) % 0.92/1.13 assert (zenon_L368_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp4)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (~(hskp30)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hd1 zenon_Hf8 zenon_Hfa zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H77 zenon_H76 zenon_H74 zenon_H15 zenon_H24b zenon_Ha zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.13 apply (zenon_L331_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.13 apply (zenon_L306_); trivial. % 0.92/1.13 apply (zenon_L78_); trivial. % 0.92/1.13 (* end of lemma zenon_L368_ *) % 0.92/1.13 assert (zenon_L369_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1bd zenon_H1b1 zenon_Hc zenon_Hd zenon_He zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.13 apply (zenon_L168_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.13 apply (zenon_L87_); trivial. % 0.92/1.13 apply (zenon_L327_); trivial. % 0.92/1.13 (* end of lemma zenon_L369_ *) % 0.92/1.13 assert (zenon_L370_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H60 zenon_H38 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H162 zenon_H252 zenon_H253 zenon_H254 zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H108 zenon_H109 zenon_H10a zenon_H24d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.13 apply (zenon_L368_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.13 apply (zenon_L331_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 0.92/1.13 apply (zenon_L369_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_L305_); trivial. % 0.92/1.13 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.13 apply (zenon_L78_); trivial. % 0.92/1.13 (* end of lemma zenon_L370_ *) % 0.92/1.13 assert (zenon_L371_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H168 zenon_H106 zenon_Hf6 zenon_Hc4 zenon_H121 zenon_H11f zenon_He0 zenon_H17 zenon_H11a zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H252 zenon_H253 zenon_H254 zenon_H24b zenon_Hd1 zenon_H5a zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H24d zenon_H38 zenon_Hf5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L86_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.13 apply (zenon_L159_); trivial. % 0.92/1.13 apply (zenon_L367_); trivial. % 0.92/1.13 apply (zenon_L370_); trivial. % 0.92/1.13 apply (zenon_L170_); trivial. % 0.92/1.13 apply (zenon_L332_); trivial. % 0.92/1.13 (* end of lemma zenon_L371_ *) % 0.92/1.13 assert (zenon_L372_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H199 zenon_H19b zenon_H1bb zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_H72 zenon_Hf0 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H38 zenon_H24d zenon_H1bd zenon_H1ec zenon_H162 zenon_H5a zenon_Hd1 zenon_H24b zenon_H254 zenon_H253 zenon_H252 zenon_H14c zenon_H1aa zenon_H1b1 zenon_H5f zenon_H106 zenon_H189 zenon_H151. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L151_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.13 apply (zenon_L267_); trivial. % 0.92/1.13 apply (zenon_L371_); trivial. % 0.92/1.13 apply (zenon_L246_); trivial. % 0.92/1.13 (* end of lemma zenon_L372_ *) % 0.92/1.13 assert (zenon_L373_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp3)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H9c zenon_H25d zenon_H212 zenon_H211 zenon_H210 zenon_Hec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H21e | zenon_intro zenon_H25e ]. % 0.92/1.13 apply (zenon_L272_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H1b | zenon_intro zenon_Hed ]. % 0.92/1.13 apply (zenon_L38_); trivial. % 0.92/1.13 exact (zenon_Hec zenon_Hed). % 0.92/1.13 (* end of lemma zenon_L373_ *) % 0.92/1.13 assert (zenon_L374_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha1 zenon_H25d zenon_Hec zenon_H212 zenon_H211 zenon_H210 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.13 apply (zenon_L37_); trivial. % 0.92/1.13 apply (zenon_L373_); trivial. % 0.92/1.13 (* end of lemma zenon_L374_ *) % 0.92/1.13 assert (zenon_L375_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp3)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (~(hskp8)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H31 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_Hec zenon_H210 zenon_H211 zenon_H212 zenon_H25d zenon_H2f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 0.92/1.13 apply (zenon_L115_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H21e | zenon_intro zenon_H25e ]. % 0.92/1.13 apply (zenon_L272_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H1b | zenon_intro zenon_Hed ]. % 0.92/1.13 apply (zenon_L357_); trivial. % 0.92/1.13 exact (zenon_Hec zenon_Hed). % 0.92/1.13 exact (zenon_H2f zenon_H30). % 0.92/1.13 (* end of lemma zenon_L375_ *) % 0.92/1.13 assert (zenon_L376_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf6 zenon_H111 zenon_H5f zenon_H38 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H5e zenon_H8d zenon_H49 zenon_H210 zenon_H211 zenon_H212 zenon_Hec zenon_H25d zenon_Ha1 zenon_Hc0 zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.13 apply (zenon_L374_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.13 apply (zenon_L9_); trivial. % 0.92/1.13 apply (zenon_L375_); trivial. % 0.92/1.13 apply (zenon_L54_); trivial. % 0.92/1.13 apply (zenon_L125_); trivial. % 0.92/1.13 (* end of lemma zenon_L376_ *) % 0.92/1.13 assert (zenon_L377_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a24)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H10a zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_He8 zenon_Ha zenon_Hb7 zenon_Hb8 zenon_Hb9. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.13 apply (zenon_L271_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.13 apply (zenon_L83_); trivial. % 0.92/1.13 apply (zenon_L273_); trivial. % 0.92/1.13 (* end of lemma zenon_L377_ *) % 0.92/1.13 assert (zenon_L378_ : (~(hskp0)) -> (hskp0) -> False). % 0.92/1.13 do 0 intro. intros zenon_H25f zenon_H260. % 0.92/1.13 exact (zenon_H25f zenon_H260). % 0.92/1.13 (* end of lemma zenon_L378_ *) % 0.92/1.13 assert (zenon_L379_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp2)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp0)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf2 zenon_H261 zenon_H254 zenon_H253 zenon_H252 zenon_H2d zenon_H210 zenon_H211 zenon_H212 zenon_H238 zenon_H25f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ]. % 0.92/1.13 apply (zenon_L331_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ]. % 0.92/1.13 apply (zenon_L290_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ]. % 0.92/1.13 apply (zenon_L63_); trivial. % 0.92/1.13 exact (zenon_H2d zenon_H2e). % 0.92/1.13 exact (zenon_H25f zenon_H260). % 0.92/1.13 (* end of lemma zenon_L379_ *) % 0.92/1.13 assert (zenon_L380_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H238 zenon_H2d zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_Hc4 zenon_Hf6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L79_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L81_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ]. % 0.92/1.13 apply (zenon_L331_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ]. % 0.92/1.13 apply (zenon_L290_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ]. % 0.92/1.13 apply (zenon_L377_); trivial. % 0.92/1.13 exact (zenon_H2d zenon_H2e). % 0.92/1.13 exact (zenon_H25f zenon_H260). % 0.92/1.13 apply (zenon_L379_); trivial. % 0.92/1.13 (* end of lemma zenon_L380_ *) % 0.92/1.13 assert (zenon_L381_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H238 zenon_H2d zenon_H1b9 zenon_H1aa zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L151_); trivial. % 0.92/1.13 apply (zenon_L380_); trivial. % 0.92/1.13 (* end of lemma zenon_L381_ *) % 0.92/1.13 assert (zenon_L382_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp1)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp0)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H60 zenon_H261 zenon_H254 zenon_H253 zenon_H252 zenon_H234 zenon_H210 zenon_H211 zenon_H212 zenon_H236 zenon_H25f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ]. % 0.92/1.13 apply (zenon_L331_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H22d | zenon_intro zenon_H237 ]. % 0.92/1.13 apply (zenon_L290_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_Hb | zenon_intro zenon_H235 ]. % 0.92/1.13 apply (zenon_L6_); trivial. % 0.92/1.13 exact (zenon_H234 zenon_H235). % 0.92/1.13 exact (zenon_H25f zenon_H260). % 0.92/1.13 (* end of lemma zenon_L382_ *) % 0.92/1.13 assert (zenon_L383_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H5f zenon_H261 zenon_H25f zenon_H210 zenon_H211 zenon_H212 zenon_H234 zenon_H236 zenon_H254 zenon_H253 zenon_H252 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.13 apply (zenon_L25_); trivial. % 0.92/1.13 apply (zenon_L382_); trivial. % 0.92/1.13 (* end of lemma zenon_L383_ *) % 0.92/1.13 assert (zenon_L384_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_H2d zenon_H238 zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H252 zenon_H253 zenon_H254 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.13 apply (zenon_L383_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L334_); trivial. % 0.92/1.13 apply (zenon_L379_); trivial. % 0.92/1.13 (* end of lemma zenon_L384_ *) % 0.92/1.13 assert (zenon_L385_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H24f zenon_H20e zenon_H261 zenon_H25f zenon_H2d zenon_H238 zenon_H254 zenon_H253 zenon_H252 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.13 apply (zenon_L325_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_L381_); trivial. % 0.92/1.13 apply (zenon_L246_); trivial. % 0.92/1.13 (* end of lemma zenon_L385_ *) % 0.92/1.13 assert (zenon_L386_ : (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H112 zenon_Ha zenon_H263 zenon_H264 zenon_H265. % 0.92/1.13 generalize (zenon_H112 (a7)). zenon_intro zenon_H266. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H266); [ zenon_intro zenon_H9 | zenon_intro zenon_H267 ]. % 0.92/1.13 exact (zenon_H9 zenon_Ha). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H269 | zenon_intro zenon_H268 ]. % 0.92/1.13 exact (zenon_H263 zenon_H269). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H26b | zenon_intro zenon_H26a ]. % 0.92/1.13 exact (zenon_H26b zenon_H264). % 0.92/1.13 exact (zenon_H26a zenon_H265). % 0.92/1.13 (* end of lemma zenon_L386_ *) % 0.92/1.13 assert (zenon_L387_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp19)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H17 zenon_H8b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ]. % 0.92/1.13 apply (zenon_L386_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ]. % 0.92/1.13 exact (zenon_H17 zenon_H18). % 0.92/1.13 exact (zenon_H8b zenon_H8c). % 0.92/1.13 (* end of lemma zenon_L387_ *) % 0.92/1.13 assert (zenon_L388_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L387_); trivial. % 0.92/1.13 apply (zenon_L54_); trivial. % 0.92/1.13 (* end of lemma zenon_L388_ *) % 0.92/1.13 assert (zenon_L389_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L86_); trivial. % 0.92/1.13 apply (zenon_L142_); trivial. % 0.92/1.13 (* end of lemma zenon_L389_ *) % 0.92/1.13 assert (zenon_L390_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L388_); trivial. % 0.92/1.13 apply (zenon_L389_); trivial. % 0.92/1.13 (* end of lemma zenon_L390_ *) % 0.92/1.13 assert (zenon_L391_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H189 zenon_H188 zenon_H101 zenon_H176 zenon_H14a zenon_H17a zenon_H38 zenon_H141 zenon_H5f zenon_H85 zenon_H138 zenon_H16e zenon_H47 zenon_Hf0 zenon_H19b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_L390_); trivial. % 0.92/1.13 apply (zenon_L144_); trivial. % 0.92/1.13 apply (zenon_L147_); trivial. % 0.92/1.13 (* end of lemma zenon_L391_ *) % 0.92/1.13 assert (zenon_L392_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha1 zenon_H127 zenon_H5 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H98 zenon_H9a zenon_H9d zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H11f zenon_H121 zenon_H38. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.13 apply (zenon_L250_); trivial. % 0.92/1.13 apply (zenon_L256_); trivial. % 0.92/1.13 apply (zenon_L41_); trivial. % 0.92/1.13 (* end of lemma zenon_L392_ *) % 0.92/1.13 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hab zenon_H38 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H11f zenon_H121. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.13 apply (zenon_L166_); trivial. % 0.92/1.13 apply (zenon_L258_); trivial. % 0.92/1.13 (* end of lemma zenon_L393_ *) % 0.92/1.13 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc1 zenon_Hae zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H127 zenon_Ha1. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.13 apply (zenon_L392_); trivial. % 0.92/1.13 apply (zenon_L393_); trivial. % 0.92/1.13 (* end of lemma zenon_L394_ *) % 0.92/1.13 assert (zenon_L395_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_Hae zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H14c zenon_H1aa zenon_H5 zenon_H127 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L151_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L86_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L387_); trivial. % 0.92/1.13 apply (zenon_L394_); trivial. % 0.92/1.13 (* end of lemma zenon_L395_ *) % 0.92/1.13 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp12)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H31 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H265 zenon_H264 zenon_H263 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H2b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L152_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.13 apply (zenon_L386_); trivial. % 0.92/1.13 apply (zenon_L132_); trivial. % 0.92/1.13 (* end of lemma zenon_L396_ *) % 0.92/1.13 assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_He4 zenon_H188 zenon_Hc0 zenon_H176 zenon_H129 zenon_H133 zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H12a zenon_H1b9 zenon_H38. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.13 apply (zenon_L176_); trivial. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_L313_); trivial. % 0.92/1.13 (* end of lemma zenon_L397_ *) % 0.92/1.13 assert (zenon_L398_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H12a zenon_H1b9 zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L188_); trivial. % 0.92/1.13 apply (zenon_L397_); trivial. % 0.92/1.13 (* end of lemma zenon_L398_ *) % 0.92/1.13 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_H1d6 zenon_H1c8 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H202 zenon_H201 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H1b9 zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H5e zenon_H121 zenon_H11f zenon_H1bd zenon_H1bb zenon_H49 zenon_Hf5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L398_); trivial. % 0.92/1.13 apply (zenon_L194_); trivial. % 0.92/1.13 apply (zenon_L216_); trivial. % 0.92/1.13 (* end of lemma zenon_L399_ *) % 0.92/1.13 assert (zenon_L400_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf5 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H5a zenon_H57 zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L86_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L387_); trivial. % 0.92/1.13 apply (zenon_L170_); trivial. % 0.92/1.13 (* end of lemma zenon_L400_ *) % 0.92/1.13 assert (zenon_L401_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H121 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H11f. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.13 apply (zenon_L302_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.13 apply (zenon_L52_); trivial. % 0.92/1.13 exact (zenon_H11f zenon_H120). % 0.92/1.13 (* end of lemma zenon_L401_ *) % 0.92/1.13 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc1 zenon_H72 zenon_H24d zenon_H10a zenon_H109 zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H11f zenon_H121 zenon_H7 zenon_H5 zenon_H127 zenon_H74 zenon_H76 zenon_H77 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.13 apply (zenon_L155_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.13 apply (zenon_L401_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.13 apply (zenon_L56_); trivial. % 0.92/1.13 apply (zenon_L78_); trivial. % 0.92/1.13 (* end of lemma zenon_L402_ *) % 0.92/1.13 assert (zenon_L403_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H24d zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L86_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L387_); trivial. % 0.92/1.13 apply (zenon_L402_); trivial. % 0.92/1.13 (* end of lemma zenon_L403_ *) % 0.92/1.13 assert (zenon_L404_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H151 zenon_H106 zenon_H72 zenon_H24d zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H265 zenon_H264 zenon_H263 zenon_H5a zenon_H1aa zenon_H14c zenon_H162 zenon_H1b1 zenon_H38 zenon_H5f zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L151_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.13 apply (zenon_L400_); trivial. % 0.92/1.13 apply (zenon_L403_); trivial. % 0.92/1.13 (* end of lemma zenon_L404_ *) % 0.92/1.13 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H24f zenon_H20e zenon_H5a zenon_H24d zenon_H106 zenon_H151 zenon_Hf5 zenon_Hae zenon_H38 zenon_H9d zenon_H1b1 zenon_H14c zenon_H5 zenon_H127 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H1bb zenon_H1bd zenon_H5e zenon_H83 zenon_H72 zenon_H7 zenon_H47 zenon_H162 zenon_H5f zenon_H1b9 zenon_H14a zenon_H176 zenon_H188 zenon_H201 zenon_H202 zenon_H1ec zenon_H1bf zenon_H1c8 zenon_H1d6 zenon_H19b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_L395_); trivial. % 0.92/1.13 apply (zenon_L399_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_L404_); trivial. % 0.92/1.13 apply (zenon_L399_); trivial. % 0.92/1.13 (* end of lemma zenon_L405_ *) % 0.92/1.13 assert (zenon_L406_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_H2f zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.13 apply (zenon_L263_); trivial. % 0.92/1.13 apply (zenon_L28_); trivial. % 0.92/1.13 (* end of lemma zenon_L406_ *) % 0.92/1.13 assert (zenon_L407_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H72 zenon_H6e zenon_H2f zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H111. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L79_); trivial. % 0.92/1.13 apply (zenon_L406_); trivial. % 0.92/1.13 (* end of lemma zenon_L407_ *) % 0.92/1.13 assert (zenon_L408_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H19b zenon_H1bb zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5 zenon_H7 zenon_H2f zenon_H6e zenon_H72 zenon_Hf6 zenon_H151. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L388_); trivial. % 0.92/1.13 apply (zenon_L407_); trivial. % 0.92/1.13 apply (zenon_L264_); trivial. % 0.92/1.13 (* end of lemma zenon_L408_ *) % 0.92/1.13 assert (zenon_L409_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H20c zenon_H162 zenon_H5a zenon_H24d zenon_H106 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H14c zenon_H1b1 zenon_H9d zenon_H38 zenon_Hae zenon_He0 zenon_H11f zenon_H121 zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 0.92/1.13 apply (zenon_L408_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.13 apply (zenon_L265_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_L404_); trivial. % 0.92/1.13 apply (zenon_L246_); trivial. % 0.92/1.13 (* end of lemma zenon_L409_ *) % 0.92/1.13 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp9)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp15)) -> (~(hskp16)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc1 zenon_H47 zenon_H9a zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H43 zenon_H45. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ]. % 0.92/1.13 apply (zenon_L274_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ]. % 0.92/1.13 exact (zenon_H43 zenon_H44). % 0.92/1.13 exact (zenon_H45 zenon_H46). % 0.92/1.13 (* end of lemma zenon_L410_ *) % 0.92/1.13 assert (zenon_L411_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hc4 zenon_H47 zenon_H45 zenon_H43 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L387_); trivial. % 0.92/1.13 apply (zenon_L410_); trivial. % 0.92/1.13 (* end of lemma zenon_L411_ *) % 0.92/1.13 assert (zenon_L412_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L411_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L387_); trivial. % 0.92/1.13 apply (zenon_L232_); trivial. % 0.92/1.13 apply (zenon_L281_); trivial. % 0.92/1.13 (* end of lemma zenon_L412_ *) % 0.92/1.13 assert (zenon_L413_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp9)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp8)) -> False). % 0.92/1.13 do 0 intro. intros zenon_He4 zenon_H141 zenon_H9a zenon_H129 zenon_H12a zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H2f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 0.92/1.13 apply (zenon_L323_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.13 apply (zenon_L27_); trivial. % 0.92/1.13 exact (zenon_H2f zenon_H30). % 0.92/1.13 (* end of lemma zenon_L413_ *) % 0.92/1.13 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H141 zenon_H2f zenon_H210 zenon_H211 zenon_H212 zenon_H129 zenon_H12a zenon_H9a zenon_H229 zenon_H111. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L79_); trivial. % 0.92/1.13 apply (zenon_L413_); trivial. % 0.92/1.13 (* end of lemma zenon_L414_ *) % 0.92/1.13 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H111 zenon_H5f zenon_H138 zenon_H85 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H49 zenon_H5a zenon_H5e zenon_H141 zenon_H2f zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H106. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.13 apply (zenon_L286_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 0.92/1.13 apply (zenon_L323_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.13 apply (zenon_L103_); trivial. % 0.92/1.13 exact (zenon_H2f zenon_H30). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.13 apply (zenon_L386_); trivial. % 0.92/1.13 apply (zenon_L284_); trivial. % 0.92/1.13 apply (zenon_L414_); trivial. % 0.92/1.13 (* end of lemma zenon_L415_ *) % 0.92/1.13 assert (zenon_L416_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H19b zenon_H151 zenon_H111 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H141 zenon_H1b9 zenon_H106 zenon_Hf6 zenon_H72 zenon_H6e zenon_H38 zenon_H32 zenon_H9d zenon_H2f zenon_H166 zenon_Hae zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_L412_); trivial. % 0.92/1.13 apply (zenon_L415_); trivial. % 0.92/1.13 (* end of lemma zenon_L416_ *) % 0.92/1.13 assert (zenon_L417_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H151 zenon_Hf6 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H111 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L388_); trivial. % 0.92/1.13 apply (zenon_L125_); trivial. % 0.92/1.13 (* end of lemma zenon_L417_ *) % 0.92/1.13 assert (zenon_L418_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_Hf6 zenon_H141 zenon_H2f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H189 zenon_H188 zenon_H101 zenon_H176 zenon_H14a zenon_H17a zenon_H38 zenon_He0 zenon_H5f zenon_Hae zenon_H32 zenon_Hee zenon_H85 zenon_H138 zenon_Hec zenon_H16e zenon_H47 zenon_H72 zenon_Hf0 zenon_Hf5 zenon_H6e zenon_H19b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_L417_); trivial. % 0.92/1.13 apply (zenon_L144_); trivial. % 0.92/1.13 apply (zenon_L147_); trivial. % 0.92/1.13 (* end of lemma zenon_L418_ *) % 0.92/1.13 assert (zenon_L419_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H265 zenon_H264 zenon_H263 zenon_H20f zenon_Ha zenon_H210 zenon_H211 zenon_H212. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L152_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.13 apply (zenon_L386_); trivial. % 0.92/1.13 apply (zenon_L270_); trivial. % 0.92/1.13 (* end of lemma zenon_L419_ *) % 0.92/1.13 assert (zenon_L420_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H6d zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.13 apply (zenon_L419_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.13 apply (zenon_L83_); trivial. % 0.92/1.13 apply (zenon_L17_); trivial. % 0.92/1.13 (* end of lemma zenon_L420_ *) % 0.92/1.13 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp9)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H18a zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H9a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L152_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.13 apply (zenon_L386_); trivial. % 0.92/1.13 apply (zenon_L284_); trivial. % 0.92/1.13 (* end of lemma zenon_L421_ *) % 0.92/1.13 assert (zenon_L422_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H19b zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H72 zenon_H7 zenon_H5 zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H19 zenon_Hae zenon_H5f zenon_He0 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L388_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L411_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.13 apply (zenon_L81_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.13 apply (zenon_L279_); trivial. % 0.92/1.13 apply (zenon_L420_); trivial. % 0.92/1.13 apply (zenon_L281_); trivial. % 0.92/1.13 apply (zenon_L421_); trivial. % 0.92/1.13 (* end of lemma zenon_L422_ *) % 0.92/1.13 assert (zenon_L423_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_H22b zenon_H108 zenon_H109 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H19 zenon_H17 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H234 zenon_H236 zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L188_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.13 apply (zenon_L295_); trivial. % 0.92/1.13 apply (zenon_L420_); trivial. % 0.92/1.13 (* end of lemma zenon_L423_ *) % 0.92/1.13 assert (zenon_L424_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H6d zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H77 zenon_H76 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.13 apply (zenon_L419_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.13 apply (zenon_L190_); trivial. % 0.92/1.13 apply (zenon_L17_); trivial. % 0.92/1.13 (* end of lemma zenon_L424_ *) % 0.92/1.13 assert (zenon_L425_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.13 apply (zenon_L155_); trivial. % 0.92/1.13 apply (zenon_L424_); trivial. % 0.92/1.13 (* end of lemma zenon_L425_ *) % 0.92/1.13 assert (zenon_L426_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf5 zenon_H22b zenon_H1bb zenon_H210 zenon_H211 zenon_H212 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1b9 zenon_H12a zenon_H2b zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_Hc0 zenon_H188 zenon_Hf6. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L398_); trivial. % 0.92/1.13 apply (zenon_L425_); trivial. % 0.92/1.13 (* end of lemma zenon_L426_ *) % 0.92/1.13 assert (zenon_L427_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H39 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.13 apply (zenon_L6_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.13 apply (zenon_L152_); trivial. % 0.92/1.13 apply (zenon_L173_); trivial. % 0.92/1.13 (* end of lemma zenon_L427_ *) % 0.92/1.13 assert (zenon_L428_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H31 zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.13 apply (zenon_L419_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.13 apply (zenon_L168_); trivial. % 0.92/1.13 apply (zenon_L427_); trivial. % 0.92/1.13 (* end of lemma zenon_L428_ *) % 0.92/1.13 assert (zenon_L429_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H60 zenon_H38 zenon_H22b zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H174 zenon_H176. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.13 apply (zenon_L176_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 (* end of lemma zenon_L429_ *) % 0.92/1.13 assert (zenon_L430_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_L221_); trivial. % 0.92/1.13 (* end of lemma zenon_L430_ *) % 0.92/1.13 assert (zenon_L431_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H5f zenon_H38 zenon_H22b zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H176 zenon_H5 zenon_H7 zenon_H85 zenon_H138 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L79_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_L429_); trivial. % 0.92/1.13 apply (zenon_L430_); trivial. % 0.92/1.13 apply (zenon_L420_); trivial. % 0.92/1.13 (* end of lemma zenon_L431_ *) % 0.92/1.13 assert (zenon_L432_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H24f zenon_H20e zenon_H85 zenon_H138 zenon_H111 zenon_H188 zenon_H176 zenon_H14a zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H162 zenon_H236 zenon_H234 zenon_H1ec zenon_H238 zenon_H2d zenon_H14c zenon_H1bb zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H5f zenon_Hae zenon_H19 zenon_H1b9 zenon_H1b1 zenon_H9d zenon_H22b zenon_H38 zenon_H5 zenon_H7 zenon_H72 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H19b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.13 apply (zenon_L422_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L388_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L423_); trivial. % 0.92/1.13 apply (zenon_L156_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L423_); trivial. % 0.92/1.13 apply (zenon_L319_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.13 apply (zenon_L426_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L431_); trivial. % 0.92/1.13 apply (zenon_L156_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.13 apply (zenon_L431_); trivial. % 0.92/1.13 apply (zenon_L319_); trivial. % 0.92/1.13 (* end of lemma zenon_L432_ *) % 0.92/1.13 assert (zenon_L433_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hf6 zenon_H72 zenon_H6e zenon_H38 zenon_H32 zenon_H9d zenon_H2f zenon_H166 zenon_Hae zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_L412_); trivial. % 0.92/1.14 apply (zenon_L324_); trivial. % 0.92/1.14 (* end of lemma zenon_L433_ *) % 0.92/1.14 assert (zenon_L434_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H199 zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H2f zenon_H141 zenon_Hf6 zenon_H151. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_L417_); trivial. % 0.92/1.14 apply (zenon_L246_); trivial. % 0.92/1.14 (* end of lemma zenon_L434_ *) % 0.92/1.14 assert (zenon_L435_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H20e zenon_Hc0 zenon_H111 zenon_H141 zenon_H151 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H19b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.14 apply (zenon_L433_); trivial. % 0.92/1.14 apply (zenon_L434_); trivial. % 0.92/1.14 (* end of lemma zenon_L435_ *) % 0.92/1.14 assert (zenon_L436_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H159 zenon_H15b zenon_H15a zenon_H23a zenon_Ha zenon_H203 zenon_H204 zenon_H205. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 0.92/1.14 apply (zenon_L17_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 0.92/1.14 apply (zenon_L301_); trivial. % 0.92/1.14 apply (zenon_L237_); trivial. % 0.92/1.14 (* end of lemma zenon_L436_ *) % 0.92/1.14 assert (zenon_L437_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H75 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.14 apply (zenon_L305_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.14 apply (zenon_L152_); trivial. % 0.92/1.14 apply (zenon_L167_); trivial. % 0.92/1.14 (* end of lemma zenon_L437_ *) % 0.92/1.14 assert (zenon_L438_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_H39 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.14 apply (zenon_L305_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.14 apply (zenon_L152_); trivial. % 0.92/1.14 apply (zenon_L173_); trivial. % 0.92/1.14 (* end of lemma zenon_L438_ *) % 0.92/1.14 assert (zenon_L439_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H1e zenon_H1d zenon_H26 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.14 apply (zenon_L419_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.14 apply (zenon_L437_); trivial. % 0.92/1.14 apply (zenon_L438_); trivial. % 0.92/1.14 (* end of lemma zenon_L439_ *) % 0.92/1.14 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H24d zenon_H205 zenon_H204 zenon_H203 zenon_H15a zenon_H15b zenon_H159 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_Hf8 zenon_Hfa zenon_H162 zenon_H1b1 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H210 zenon_H211 zenon_H212 zenon_H22b zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.14 apply (zenon_L436_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.14 apply (zenon_L439_); trivial. % 0.92/1.14 apply (zenon_L78_); trivial. % 0.92/1.14 (* end of lemma zenon_L440_ *) % 0.92/1.14 assert (zenon_L441_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H168 zenon_H72 zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H22b zenon_H1bb zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_L240_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.14 apply (zenon_L254_); trivial. % 0.92/1.14 apply (zenon_L440_); trivial. % 0.92/1.14 (* end of lemma zenon_L441_ *) % 0.92/1.14 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H24f zenon_H20e zenon_H263 zenon_H264 zenon_H265 zenon_Hf0 zenon_H162 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.14 apply (zenon_L325_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_L388_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_L79_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_L240_); trivial. % 0.92/1.14 apply (zenon_L420_); trivial. % 0.92/1.14 apply (zenon_L266_); trivial. % 0.92/1.14 apply (zenon_L441_); trivial. % 0.92/1.14 apply (zenon_L246_); trivial. % 0.92/1.14 (* end of lemma zenon_L442_ *) % 0.92/1.14 assert (zenon_L443_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H5a zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H162 zenon_H1b1 zenon_H38 zenon_H5f zenon_Hf5 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_L388_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.14 apply (zenon_L400_); trivial. % 0.92/1.14 apply (zenon_L332_); trivial. % 0.92/1.14 (* end of lemma zenon_L443_ *) % 0.92/1.14 assert (zenon_L444_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H1b9 zenon_H38 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H43 zenon_H162 zenon_H5f. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_L333_); trivial. % 0.92/1.14 apply (zenon_L397_); trivial. % 0.92/1.14 (* end of lemma zenon_L444_ *) % 0.92/1.14 assert (zenon_L445_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H14c zenon_H1bb zenon_H11f zenon_H121 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H38 zenon_H1b9 zenon_H2b zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_He0 zenon_H176 zenon_Hc0 zenon_H188 zenon_Hf6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L444_); trivial. % 0.92/1.14 apply (zenon_L335_); trivial. % 0.92/1.14 (* end of lemma zenon_L445_ *) % 0.92/1.14 assert (zenon_L446_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H32 zenon_H2f zenon_Hec zenon_Hee zenon_H6e zenon_H72 zenon_Hf5 zenon_H151. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_L390_); trivial. % 0.92/1.14 apply (zenon_L239_); trivial. % 0.92/1.14 (* end of lemma zenon_L446_ *) % 0.92/1.14 assert (zenon_L447_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H151 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H1b1 zenon_H9a zenon_H9d zenon_H11f zenon_H121 zenon_H38 zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_L151_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_L387_); trivial. % 0.92/1.14 apply (zenon_L260_); trivial. % 0.92/1.14 (* end of lemma zenon_L447_ *) % 0.92/1.14 assert (zenon_L448_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H38 zenon_H1b9 zenon_H2b zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_He0 zenon_H176 zenon_Hc0 zenon_H188 zenon_Hf6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L444_); trivial. % 0.92/1.14 apply (zenon_L361_); trivial. % 0.92/1.14 (* end of lemma zenon_L448_ *) % 0.92/1.14 assert (zenon_L449_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H199 zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H5f zenon_H38 zenon_H1bd zenon_H1ec zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H5a zenon_H11f zenon_H121 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H151. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_L388_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_L387_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L165_); trivial. % 0.92/1.14 apply (zenon_L328_); trivial. % 0.92/1.14 apply (zenon_L332_); trivial. % 0.92/1.14 apply (zenon_L246_); trivial. % 0.92/1.14 (* end of lemma zenon_L449_ *) % 0.92/1.14 assert (zenon_L450_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H20e zenon_H261 zenon_H25f zenon_H234 zenon_H236 zenon_H254 zenon_H253 zenon_H252 zenon_He0 zenon_Ha1 zenon_H25d zenon_Hec zenon_H8d zenon_Hee zenon_H14c zenon_H14a zenon_Hc0 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H111 zenon_H151 zenon_H19b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.14 apply (zenon_L416_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_L417_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.14 apply (zenon_L383_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L374_); trivial. % 0.92/1.14 apply (zenon_L94_); trivial. % 0.92/1.14 apply (zenon_L50_); trivial. % 0.92/1.14 apply (zenon_L54_); trivial. % 0.92/1.14 apply (zenon_L100_); trivial. % 0.92/1.14 apply (zenon_L120_); trivial. % 0.92/1.14 apply (zenon_L143_); trivial. % 0.92/1.14 (* end of lemma zenon_L450_ *) % 0.92/1.14 assert (zenon_L451_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H261 zenon_H25f zenon_H2d zenon_H238 zenon_H254 zenon_H253 zenon_H252 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H38 zenon_H22b zenon_H1b1 zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_He0 zenon_H176 zenon_H188 zenon_Hf6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_L333_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L127_); trivial. % 0.92/1.14 apply (zenon_L429_); trivial. % 0.92/1.14 apply (zenon_L207_); trivial. % 0.92/1.14 apply (zenon_L379_); trivial. % 0.92/1.14 (* end of lemma zenon_L451_ *) % 0.92/1.14 assert (zenon_L452_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H25 zenon_Ha zenon_H4d zenon_H270 zenon_H271. % 0.92/1.14 generalize (zenon_H25 (a6)). zenon_intro zenon_H272. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.92/1.14 exact (zenon_H9 zenon_Ha). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ]. % 0.92/1.14 generalize (zenon_H4d (a6)). zenon_intro zenon_H276. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H9 | zenon_intro zenon_H277 ]. % 0.92/1.14 exact (zenon_H9 zenon_Ha). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H279 | zenon_intro zenon_H278 ]. % 0.92/1.14 exact (zenon_H279 zenon_H270). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ]. % 0.92/1.14 exact (zenon_H27b zenon_H275). % 0.92/1.14 exact (zenon_H27a zenon_H271). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H279 | zenon_intro zenon_H27a ]. % 0.92/1.14 exact (zenon_H279 zenon_H270). % 0.92/1.14 exact (zenon_H27a zenon_H271). % 0.92/1.14 (* end of lemma zenon_L452_ *) % 0.92/1.14 assert (zenon_L453_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp19)) -> (~(hskp29)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp8)) -> (~(hskp21)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H32 zenon_H8b zenon_H89 zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H2f zenon_H1. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4d | zenon_intro zenon_H8e ]. % 0.92/1.14 apply (zenon_L452_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H8a | zenon_intro zenon_H8c ]. % 0.92/1.14 exact (zenon_H89 zenon_H8a). % 0.92/1.14 exact (zenon_H8b zenon_H8c). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ]. % 0.92/1.14 exact (zenon_H2f zenon_H30). % 0.92/1.14 exact (zenon_H1 zenon_H2). % 0.92/1.14 (* end of lemma zenon_L453_ *) % 0.92/1.14 assert (zenon_L454_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hae zenon_H32 zenon_H1 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8b zenon_H8d zenon_H9a zenon_H9d zenon_Ha1. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.14 apply (zenon_L453_); trivial. % 0.92/1.14 apply (zenon_L41_); trivial. % 0.92/1.14 apply (zenon_L44_); trivial. % 0.92/1.14 (* end of lemma zenon_L454_ *) % 0.92/1.14 assert (zenon_L455_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H72 zenon_H6e zenon_H66 zenon_H65 zenon_H64 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_L454_); trivial. % 0.92/1.14 apply (zenon_L28_); trivial. % 0.92/1.14 (* end of lemma zenon_L455_ *) % 0.92/1.14 assert (zenon_L456_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_He4 zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_L455_); trivial. % 0.92/1.14 apply (zenon_L54_); trivial. % 0.92/1.14 (* end of lemma zenon_L456_ *) % 0.92/1.14 assert (zenon_L457_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_H43 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_L454_); trivial. % 0.92/1.14 apply (zenon_L50_); trivial. % 0.92/1.14 apply (zenon_L54_); trivial. % 0.92/1.14 apply (zenon_L456_); trivial. % 0.92/1.14 (* end of lemma zenon_L457_ *) % 0.92/1.14 assert (zenon_L458_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H17 zenon_H19 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L457_); trivial. % 0.92/1.14 apply (zenon_L114_); trivial. % 0.92/1.14 (* end of lemma zenon_L458_ *) % 0.92/1.14 assert (zenon_L459_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H87 zenon_H85 zenon_H14c zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L457_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_L454_); trivial. % 0.92/1.14 apply (zenon_L106_); trivial. % 0.92/1.14 apply (zenon_L54_); trivial. % 0.92/1.14 (* end of lemma zenon_L459_ *) % 0.92/1.14 assert (zenon_L460_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_He4 zenon_Hc4 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_L455_); trivial. % 0.92/1.14 apply (zenon_L232_); trivial. % 0.92/1.14 (* end of lemma zenon_L460_ *) % 0.92/1.14 assert (zenon_L461_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_Hc4 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_L79_); trivial. % 0.92/1.14 apply (zenon_L460_); trivial. % 0.92/1.14 (* end of lemma zenon_L461_ *) % 0.92/1.14 assert (zenon_L462_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H17 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H85 zenon_H87 zenon_H106. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.14 apply (zenon_L458_); trivial. % 0.92/1.14 apply (zenon_L459_); trivial. % 0.92/1.14 apply (zenon_L461_); trivial. % 0.92/1.14 (* end of lemma zenon_L462_ *) % 0.92/1.14 assert (zenon_L463_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H170 zenon_Ha zenon_H107 zenon_H27c zenon_H271 zenon_H270. % 0.92/1.14 generalize (zenon_H170 (a6)). zenon_intro zenon_H27d. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ]. % 0.92/1.14 exact (zenon_H9 zenon_Ha). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H275 | zenon_intro zenon_H27f ]. % 0.92/1.14 generalize (zenon_H107 (a6)). zenon_intro zenon_H280. % 0.92/1.14 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H9 | zenon_intro zenon_H281 ]. % 0.92/1.14 exact (zenon_H9 zenon_Ha). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H282 | zenon_intro zenon_H278 ]. % 0.92/1.14 exact (zenon_H27c zenon_H282). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ]. % 0.92/1.14 exact (zenon_H27b zenon_H275). % 0.92/1.14 exact (zenon_H27a zenon_H271). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H282 | zenon_intro zenon_H279 ]. % 0.92/1.14 exact (zenon_H27c zenon_H282). % 0.92/1.14 exact (zenon_H279 zenon_H270). % 0.92/1.14 (* end of lemma zenon_L463_ *) % 0.92/1.14 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp12)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H138 zenon_He zenon_Hd zenon_Hc zenon_H2b zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H85. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hb | zenon_intro zenon_H139 ]. % 0.92/1.14 apply (zenon_L6_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H132 | zenon_intro zenon_H86 ]. % 0.92/1.14 apply (zenon_L132_); trivial. % 0.92/1.14 exact (zenon_H85 zenon_H86). % 0.92/1.14 (* end of lemma zenon_L464_ *) % 0.92/1.14 assert (zenon_L465_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (~(hskp14)) -> (~(hskp24)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H5a zenon_H271 zenon_H270 zenon_Ha zenon_H25 zenon_H57 zenon_H3. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H4d | zenon_intro zenon_H5d ]. % 0.92/1.14 apply (zenon_L452_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H58 | zenon_intro zenon_H4 ]. % 0.92/1.14 exact (zenon_H57 zenon_H58). % 0.92/1.14 exact (zenon_H3 zenon_H4). % 0.92/1.14 (* end of lemma zenon_L465_ *) % 0.92/1.14 assert (zenon_L466_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> (~(hskp24)) -> (~(hskp14)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp2)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H283 zenon_H17e zenon_H17d zenon_H17c zenon_H3 zenon_H57 zenon_Ha zenon_H270 zenon_H271 zenon_H5a zenon_H2d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H132 | zenon_intro zenon_H284 ]. % 0.92/1.14 apply (zenon_L136_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H25 | zenon_intro zenon_H2e ]. % 0.92/1.14 apply (zenon_L465_); trivial. % 0.92/1.14 exact (zenon_H2d zenon_H2e). % 0.92/1.14 (* end of lemma zenon_L466_ *) % 0.92/1.14 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L466_); trivial. % 0.92/1.14 apply (zenon_L137_); trivial. % 0.92/1.14 (* end of lemma zenon_L467_ *) % 0.92/1.14 assert (zenon_L468_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H176 zenon_H27c zenon_H271 zenon_H270 zenon_H45 zenon_H111 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H38 zenon_H5f. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L25_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H107 | zenon_intro zenon_H46 ]. % 0.92/1.14 apply (zenon_L463_); trivial. % 0.92/1.14 exact (zenon_H45 zenon_H46). % 0.92/1.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ]. % 0.92/1.14 exact (zenon_H15 zenon_H16). % 0.92/1.14 exact (zenon_H174 zenon_H175). % 0.92/1.14 apply (zenon_L464_); trivial. % 0.92/1.14 apply (zenon_L467_); trivial. % 0.92/1.14 (* end of lemma zenon_L468_ *) % 0.92/1.14 assert (zenon_L469_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H18a zenon_H151 zenon_H166 zenon_Hf6 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H5f zenon_H38 zenon_H138 zenon_H85 zenon_H14a zenon_H111 zenon_H270 zenon_H271 zenon_H27c zenon_H176 zenon_H49 zenon_H5a zenon_H5e zenon_H283 zenon_H2d zenon_H178 zenon_H17a zenon_H188 zenon_H47 zenon_H14c zenon_H87 zenon_Hf5 zenon_H106. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_L468_); trivial. % 0.92/1.14 apply (zenon_L456_); trivial. % 0.92/1.14 apply (zenon_L459_); trivial. % 0.92/1.14 apply (zenon_L461_); trivial. % 0.92/1.14 (* end of lemma zenon_L469_ *) % 0.92/1.14 assert (zenon_L470_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H19a zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H85 zenon_H87 zenon_H106 zenon_H188 zenon_H17a zenon_H2d zenon_H283 zenon_H176 zenon_H27c zenon_H138 zenon_H19b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_L462_); trivial. % 0.92/1.14 apply (zenon_L469_); trivial. % 0.92/1.14 apply (zenon_L147_); trivial. % 0.92/1.14 (* end of lemma zenon_L470_ *) % 0.92/1.14 assert (zenon_L471_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H285 zenon_H271 zenon_H270 zenon_H25 zenon_H90 zenon_H91 zenon_H8f zenon_H112 zenon_Ha zenon_H1. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H4d | zenon_intro zenon_H286 ]. % 0.92/1.14 apply (zenon_L452_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Haf | zenon_intro zenon_H2 ]. % 0.92/1.14 apply (zenon_L110_); trivial. % 0.92/1.14 exact (zenon_H1 zenon_H2). % 0.92/1.14 (* end of lemma zenon_L471_ *) % 0.92/1.14 assert (zenon_L472_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H32 zenon_H271 zenon_H270 zenon_H4d zenon_Ha zenon_H2f zenon_H1. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H25 | zenon_intro zenon_H36 ]. % 0.92/1.14 apply (zenon_L452_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H30 | zenon_intro zenon_H2 ]. % 0.92/1.14 exact (zenon_H2f zenon_H30). % 0.92/1.14 exact (zenon_H1 zenon_H2). % 0.92/1.14 (* end of lemma zenon_L472_ *) % 0.92/1.14 assert (zenon_L473_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b1 zenon_H112 zenon_H8f zenon_H91 zenon_H90 zenon_H285 zenon_H1 zenon_H2f zenon_H270 zenon_H271 zenon_H32 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.14 apply (zenon_L471_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.14 apply (zenon_L472_); trivial. % 0.92/1.14 apply (zenon_L46_); trivial. % 0.92/1.14 (* end of lemma zenon_L473_ *) % 0.92/1.14 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> (~(hskp19)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H11a zenon_H32 zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H285 zenon_H90 zenon_H91 zenon_H8f zenon_H1b1 zenon_H17 zenon_H8b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ]. % 0.92/1.14 apply (zenon_L473_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H18 | zenon_intro zenon_H8c ]. % 0.92/1.14 exact (zenon_H17 zenon_H18). % 0.92/1.14 exact (zenon_H8b zenon_H8c). % 0.92/1.14 (* end of lemma zenon_L474_ *) % 0.92/1.14 assert (zenon_L475_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H17 zenon_H19 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L25_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.14 apply (zenon_L453_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.14 apply (zenon_L9_); trivial. % 0.92/1.14 apply (zenon_L474_); trivial. % 0.92/1.14 apply (zenon_L50_); trivial. % 0.92/1.14 apply (zenon_L54_); trivial. % 0.92/1.14 apply (zenon_L124_); trivial. % 0.92/1.14 apply (zenon_L114_); trivial. % 0.92/1.14 (* end of lemma zenon_L475_ *) % 0.92/1.14 assert (zenon_L476_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H2b zenon_H14c zenon_H166 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H19 zenon_H17 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H32 zenon_H162 zenon_H38 zenon_H5f zenon_Hf6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_L118_); trivial. % 0.92/1.14 apply (zenon_L50_); trivial. % 0.92/1.14 apply (zenon_L124_); trivial. % 0.92/1.14 apply (zenon_L120_); trivial. % 0.92/1.14 (* end of lemma zenon_L476_ *) % 0.92/1.14 assert (zenon_L477_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H151 zenon_H111 zenon_Hf5 zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H17 zenon_H19 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6 zenon_H162 zenon_H5 zenon_H7 zenon_H166 zenon_H14c zenon_H106. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.14 apply (zenon_L475_); trivial. % 0.92/1.14 apply (zenon_L476_); trivial. % 0.92/1.14 apply (zenon_L125_); trivial. % 0.92/1.14 (* end of lemma zenon_L477_ *) % 0.92/1.14 assert (zenon_L478_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H5f zenon_H287 zenon_H270 zenon_H271 zenon_H2f zenon_H32 zenon_H5 zenon_H7 zenon_H43 zenon_H47 zenon_H72. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_Hb | zenon_intro zenon_H288 ]. % 0.92/1.14 apply (zenon_L6_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H4d | zenon_intro zenon_H6 ]. % 0.92/1.14 apply (zenon_L472_); trivial. % 0.92/1.14 exact (zenon_H5 zenon_H6). % 0.92/1.14 apply (zenon_L50_); trivial. % 0.92/1.14 apply (zenon_L100_); trivial. % 0.92/1.14 (* end of lemma zenon_L478_ *) % 0.92/1.14 assert (zenon_L479_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H87 zenon_H85 zenon_H83 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H287 zenon_H5f zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H141 zenon_Hf6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L478_); trivial. % 0.92/1.14 apply (zenon_L72_); trivial. % 0.92/1.14 (* end of lemma zenon_L479_ *) % 0.92/1.14 assert (zenon_L480_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H199 zenon_H19b zenon_H87 zenon_H85 zenon_H83 zenon_H287 zenon_He0 zenon_H106 zenon_H14c zenon_H166 zenon_H7 zenon_H5 zenon_H162 zenon_Hf6 zenon_H141 zenon_H72 zenon_H47 zenon_H5e zenon_H5a zenon_H49 zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H19 zenon_H1b1 zenon_H285 zenon_H11a zenon_H38 zenon_Ha1 zenon_H5f zenon_Hc0 zenon_Hc4 zenon_H14a zenon_Hf5 zenon_H111 zenon_H151. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_L477_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.14 apply (zenon_L479_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L478_); trivial. % 0.92/1.14 apply (zenon_L120_); trivial. % 0.92/1.14 apply (zenon_L125_); trivial. % 0.92/1.14 (* end of lemma zenon_L480_ *) % 0.92/1.14 assert (zenon_L481_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_Ha1 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H17 zenon_H11f zenon_H121 zenon_H38 zenon_Hae. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.14 apply (zenon_L253_); trivial. % 0.92/1.14 apply (zenon_L163_); trivial. % 0.92/1.14 apply (zenon_L394_); trivial. % 0.92/1.14 (* end of lemma zenon_L481_ *) % 0.92/1.14 assert (zenon_L482_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H1aa zenon_H14c zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_L151_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L86_); trivial. % 0.92/1.14 apply (zenon_L481_); trivial. % 0.92/1.14 (* end of lemma zenon_L482_ *) % 0.92/1.14 assert (zenon_L483_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp24)) -> (~(hskp14)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H1b1 zenon_H3 zenon_H57 zenon_H270 zenon_H271 zenon_H5a zenon_H108 zenon_H10a zenon_H109 zenon_Hb zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.14 apply (zenon_L465_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.14 apply (zenon_L201_); trivial. % 0.92/1.14 apply (zenon_L46_); trivial. % 0.92/1.14 (* end of lemma zenon_L483_ *) % 0.92/1.14 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp4)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H24b zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H74 zenon_H76 zenon_H77 zenon_H1bd zenon_H109 zenon_H10a zenon_H108 zenon_H5a zenon_H271 zenon_H270 zenon_H57 zenon_H3 zenon_H1b1 zenon_Hd1. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 0.92/1.14 apply (zenon_L365_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 0.92/1.14 apply (zenon_L483_); trivial. % 0.92/1.14 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.14 (* end of lemma zenon_L484_ *) % 0.92/1.14 assert (zenon_L485_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H3 zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H11a zenon_H8b zenon_H17 zenon_H11f zenon_H121. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.14 apply (zenon_L159_); trivial. % 0.92/1.14 apply (zenon_L484_); trivial. % 0.92/1.14 (* end of lemma zenon_L485_ *) % 0.92/1.14 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp4)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H31 zenon_H24b zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H19e zenon_H19f zenon_H1aa zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H74 zenon_H76 zenon_H77 zenon_H1b1 zenon_H1bd zenon_He zenon_Hd zenon_Hc zenon_Hd1. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 0.92/1.14 apply (zenon_L369_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 0.92/1.14 apply (zenon_L6_); trivial. % 0.92/1.14 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.14 (* end of lemma zenon_L486_ *) % 0.92/1.14 assert (zenon_L487_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hf5 zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H57 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H19 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L86_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.14 apply (zenon_L485_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.14 apply (zenon_L9_); trivial. % 0.92/1.14 apply (zenon_L486_); trivial. % 0.92/1.14 apply (zenon_L170_); trivial. % 0.92/1.14 (* end of lemma zenon_L487_ *) % 0.92/1.14 assert (zenon_L488_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp19)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> False). % 0.92/1.14 do 0 intro. intros zenon_H121 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_H8b zenon_H17 zenon_Ha zenon_H19e zenon_H19f zenon_H11a zenon_H11f. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 0.92/1.14 apply (zenon_L302_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 0.92/1.14 apply (zenon_L150_); trivial. % 0.92/1.14 exact (zenon_H11f zenon_H120). % 0.92/1.14 (* end of lemma zenon_L488_ *) % 0.92/1.14 assert (zenon_L489_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_Hc4 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H121 zenon_H11f zenon_H17 zenon_H11a zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H24d zenon_H72 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L282_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_L155_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.14 apply (zenon_L488_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.14 apply (zenon_L56_); trivial. % 0.92/1.14 apply (zenon_L78_); trivial. % 0.92/1.14 apply (zenon_L402_); trivial. % 0.92/1.14 (* end of lemma zenon_L489_ *) % 0.92/1.14 assert (zenon_L490_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H106 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H17 zenon_H14a zenon_H38 zenon_H5f zenon_Hf5. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.14 apply (zenon_L458_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.14 apply (zenon_L457_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_L454_); trivial. % 0.92/1.14 apply (zenon_L244_); trivial. % 0.92/1.14 apply (zenon_L54_); trivial. % 0.92/1.14 (* end of lemma zenon_L490_ *) % 0.92/1.14 assert (zenon_L491_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H129 zenon_H12a zenon_H133 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H72. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.14 apply (zenon_L454_); trivial. % 0.92/1.14 apply (zenon_L238_); trivial. % 0.92/1.14 apply (zenon_L54_); trivial. % 0.92/1.14 (* end of lemma zenon_L491_ *) % 0.92/1.14 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_H6e zenon_H111 zenon_H72 zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_L491_); trivial. % 0.92/1.14 apply (zenon_L461_); trivial. % 0.92/1.14 (* end of lemma zenon_L492_ *) % 0.92/1.14 assert (zenon_L493_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.14 do 0 intro. intros zenon_H20e zenon_H141 zenon_H20c zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1bb zenon_H19b. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.14 apply (zenon_L490_); trivial. % 0.92/1.14 apply (zenon_L461_); trivial. % 0.92/1.14 apply (zenon_L492_); trivial. % 0.92/1.14 apply (zenon_L247_); trivial. % 0.92/1.14 (* end of lemma zenon_L493_ *) % 0.92/1.14 assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H24d zenon_H10a zenon_H109 zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H15a zenon_H15b zenon_H159 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.15 apply (zenon_L155_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.15 apply (zenon_L436_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.15 apply (zenon_L56_); trivial. % 0.92/1.15 apply (zenon_L78_); trivial. % 0.92/1.15 (* end of lemma zenon_L494_ *) % 0.92/1.15 assert (zenon_L495_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H24d zenon_H15a zenon_H15b zenon_H159 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_L86_); trivial. % 0.92/1.15 apply (zenon_L494_); trivial. % 0.92/1.15 (* end of lemma zenon_L495_ *) % 0.92/1.15 assert (zenon_L496_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_L457_); trivial. % 0.92/1.15 apply (zenon_L281_); trivial. % 0.92/1.15 (* end of lemma zenon_L496_ *) % 0.92/1.15 assert (zenon_L497_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H151 zenon_H38 zenon_H166 zenon_H111 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.15 apply (zenon_L496_); trivial. % 0.92/1.15 apply (zenon_L461_); trivial. % 0.92/1.15 (* end of lemma zenon_L497_ *) % 0.92/1.15 assert (zenon_L498_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H20e zenon_H19b zenon_H87 zenon_H85 zenon_H83 zenon_H287 zenon_He0 zenon_H106 zenon_H14c zenon_H7 zenon_H5 zenon_H162 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H1b1 zenon_H285 zenon_H11a zenon_H5f zenon_H14a zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.15 apply (zenon_L497_); trivial. % 0.92/1.15 apply (zenon_L480_); trivial. % 0.92/1.15 (* end of lemma zenon_L498_ *) % 0.92/1.15 assert (zenon_L499_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H74 zenon_H123 zenon_H76 zenon_H77. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 0.92/1.15 apply (zenon_L17_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 0.92/1.15 apply (zenon_L126_); trivial. % 0.92/1.15 apply (zenon_L87_); trivial. % 0.92/1.15 (* end of lemma zenon_L499_ *) % 0.92/1.15 assert (zenon_L500_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H127 zenon_H77 zenon_H76 zenon_H74 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_H89 zenon_H5. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H123 | zenon_intro zenon_H128 ]. % 0.92/1.15 apply (zenon_L499_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H8a | zenon_intro zenon_H6 ]. % 0.92/1.15 exact (zenon_H89 zenon_H8a). % 0.92/1.15 exact (zenon_H5 zenon_H6). % 0.92/1.15 (* end of lemma zenon_L500_ *) % 0.92/1.15 assert (zenon_L501_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H24b zenon_H77 zenon_H76 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_Hd1. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 0.92/1.15 apply (zenon_L499_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 0.92/1.15 apply (zenon_L305_); trivial. % 0.92/1.15 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.15 (* end of lemma zenon_L501_ *) % 0.92/1.15 assert (zenon_L502_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H107 zenon_Ha zenon_H15 zenon_H174. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ]. % 0.92/1.15 apply (zenon_L463_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ]. % 0.92/1.15 exact (zenon_H15 zenon_H16). % 0.92/1.15 exact (zenon_H174 zenon_H175). % 0.92/1.15 (* end of lemma zenon_L502_ *) % 0.92/1.15 assert (zenon_L503_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp4)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H24d zenon_H2d zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H1ec zenon_H8f zenon_H91 zenon_H90 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H15a zenon_H15b zenon_H159 zenon_H238 zenon_Hd1 zenon_Hf8 zenon_Hfa zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H133 zenon_H12a zenon_H129 zenon_H74 zenon_H76 zenon_H77 zenon_H24b zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_Ha zenon_H15 zenon_H174. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.15 apply (zenon_L304_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.15 apply (zenon_L501_); trivial. % 0.92/1.15 apply (zenon_L502_); trivial. % 0.92/1.15 (* end of lemma zenon_L503_ *) % 0.92/1.15 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H22b zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b9 zenon_H2d zenon_H238 zenon_H2b zenon_H14a zenon_Hc0 zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.15 apply (zenon_L155_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.15 apply (zenon_L500_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_L503_); trivial. % 0.92/1.15 apply (zenon_L177_); trivial. % 0.92/1.15 apply (zenon_L313_); trivial. % 0.92/1.15 (* end of lemma zenon_L504_ *) % 0.92/1.15 assert (zenon_L505_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp1)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H31 zenon_H236 zenon_H210 zenon_H211 zenon_H212 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H109 zenon_H10a zenon_H108 zenon_H5a zenon_H271 zenon_H270 zenon_H57 zenon_H3 zenon_H1b1 zenon_H234. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H22d | zenon_intro zenon_H237 ]. % 0.92/1.15 apply (zenon_L291_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_Hb | zenon_intro zenon_H235 ]. % 0.92/1.15 apply (zenon_L483_); trivial. % 0.92/1.15 exact (zenon_H234 zenon_H235). % 0.92/1.15 (* end of lemma zenon_L505_ *) % 0.92/1.15 assert (zenon_L506_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H38 zenon_H236 zenon_H234 zenon_H5a zenon_H3 zenon_H57 zenon_H271 zenon_H270 zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_H174 zenon_H176. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_L176_); trivial. % 0.92/1.15 apply (zenon_L505_); trivial. % 0.92/1.15 (* end of lemma zenon_L506_ *) % 0.92/1.15 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.15 apply (zenon_L466_); trivial. % 0.92/1.15 apply (zenon_L221_); trivial. % 0.92/1.15 (* end of lemma zenon_L507_ *) % 0.92/1.15 assert (zenon_L508_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H138 zenon_H85 zenon_H2d zenon_H283 zenon_H38 zenon_H236 zenon_H234 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.15 apply (zenon_L188_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.15 apply (zenon_L506_); trivial. % 0.92/1.15 apply (zenon_L315_); trivial. % 0.92/1.15 apply (zenon_L507_); trivial. % 0.92/1.15 (* end of lemma zenon_L508_ *) % 0.92/1.15 assert (zenon_L509_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H14e zenon_H189 zenon_H24b zenon_H238 zenon_H14c zenon_H1b9 zenon_H1bb zenon_H22b zenon_H24d zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H270 zenon_H271 zenon_H5a zenon_H234 zenon_H236 zenon_H38 zenon_H283 zenon_H2d zenon_H85 zenon_H138 zenon_H188 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H111 zenon_H106. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_L508_); trivial. % 0.92/1.15 apply (zenon_L156_); trivial. % 0.92/1.15 apply (zenon_L297_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_L508_); trivial. % 0.92/1.15 apply (zenon_L319_); trivial. % 0.92/1.15 apply (zenon_L309_); trivial. % 0.92/1.15 (* end of lemma zenon_L509_ *) % 0.92/1.15 assert (zenon_L510_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_Ha zenon_H15 zenon_H174. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.15 apply (zenon_L331_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.15 apply (zenon_L56_); trivial. % 0.92/1.15 apply (zenon_L502_); trivial. % 0.92/1.15 (* end of lemma zenon_L510_ *) % 0.92/1.15 assert (zenon_L511_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H5f zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_H19 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H174 zenon_H176 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H1b1 zenon_H2f zenon_H32 zenon_H1 zenon_H285 zenon_H17 zenon_H11a zenon_H38 zenon_Ha1. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.15 apply (zenon_L37_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_L510_); trivial. % 0.92/1.15 apply (zenon_L474_); trivial. % 0.92/1.15 apply (zenon_L118_); trivial. % 0.92/1.15 (* end of lemma zenon_L511_ *) % 0.92/1.15 assert (zenon_L512_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H141 zenon_H2f zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H15b zenon_H15a zenon_H159 zenon_H285 zenon_H1 zenon_H1b9 zenon_Ha1. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.15 apply (zenon_L37_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.15 apply (zenon_L21_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.15 apply (zenon_L116_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H4d | zenon_intro zenon_H286 ]. % 0.92/1.15 apply (zenon_L22_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Haf | zenon_intro zenon_H2 ]. % 0.92/1.15 apply (zenon_L110_); trivial. % 0.92/1.15 exact (zenon_H1 zenon_H2). % 0.92/1.15 apply (zenon_L136_); trivial. % 0.92/1.15 apply (zenon_L221_); trivial. % 0.92/1.15 (* end of lemma zenon_L512_ *) % 0.92/1.15 assert (zenon_L513_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H138 zenon_H85 zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H11a zenon_H17 zenon_H285 zenon_H32 zenon_H2f zenon_H1b1 zenon_H252 zenon_H253 zenon_H254 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H19 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H5f zenon_H47 zenon_H72 zenon_Hf6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.15 apply (zenon_L511_); trivial. % 0.92/1.15 apply (zenon_L512_); trivial. % 0.92/1.15 apply (zenon_L50_); trivial. % 0.92/1.15 apply (zenon_L54_); trivial. % 0.92/1.15 apply (zenon_L124_); trivial. % 0.92/1.15 apply (zenon_L120_); trivial. % 0.92/1.15 (* end of lemma zenon_L513_ *) % 0.92/1.15 assert (zenon_L514_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H151 zenon_H111 zenon_Hf5 zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H17 zenon_H19 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6 zenon_H162 zenon_H24d zenon_H27c zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H1b9 zenon_H85 zenon_H138 zenon_H188 zenon_H166 zenon_H14c zenon_H106. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_L475_); trivial. % 0.92/1.15 apply (zenon_L513_); trivial. % 0.92/1.15 apply (zenon_L125_); trivial. % 0.92/1.15 (* end of lemma zenon_L514_ *) % 0.92/1.15 assert (zenon_L515_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c1_1 (a29)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c3_1 (a29))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H20c zenon_H15b zenon_H15a zenon_H159 zenon_H77 zenon_Hb6 zenon_H74 zenon_Ha zenon_H1. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13d | zenon_intro zenon_H20d ]. % 0.92/1.15 apply (zenon_L115_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H73 | zenon_intro zenon_H2 ]. % 0.92/1.15 apply (zenon_L119_); trivial. % 0.92/1.15 exact (zenon_H1 zenon_H2). % 0.92/1.15 (* end of lemma zenon_L515_ *) % 0.92/1.15 assert (zenon_L516_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23)))))) -> (~(hskp8)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H141 zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Ha zenon_H142 zenon_H2f. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H63 | zenon_intro zenon_He3 ]. % 0.92/1.15 apply (zenon_L103_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H44 ]. % 0.92/1.15 apply (zenon_L98_); trivial. % 0.92/1.15 exact (zenon_H43 zenon_H44). % 0.92/1.15 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.15 apply (zenon_L103_); trivial. % 0.92/1.15 exact (zenon_H2f zenon_H30). % 0.92/1.15 (* end of lemma zenon_L516_ *) % 0.92/1.15 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c2_1 (a8)) -> (c3_1 (a8)) -> (c1_1 (a8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp12)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H31 zenon_H1b9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_He0 zenon_H43 zenon_H141 zenon_H32 zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H285 zenon_H90 zenon_H91 zenon_H8f zenon_H1b1 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H2b. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.15 apply (zenon_L516_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.15 apply (zenon_L473_); trivial. % 0.92/1.15 apply (zenon_L132_); trivial. % 0.92/1.15 (* end of lemma zenon_L517_ *) % 0.92/1.15 assert (zenon_L518_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Ha1 zenon_H1b9 zenon_H17e zenon_H17d zenon_H17c zenon_H285 zenon_H1 zenon_H271 zenon_H270 zenon_H32 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2f zenon_H141 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.15 apply (zenon_L37_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.15 apply (zenon_L116_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.15 apply (zenon_L471_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.15 apply (zenon_L472_); trivial. % 0.92/1.15 apply (zenon_L110_); trivial. % 0.92/1.15 apply (zenon_L136_); trivial. % 0.92/1.15 (* end of lemma zenon_L518_ *) % 0.92/1.15 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H185 zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H141 zenon_H2f zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H32 zenon_H270 zenon_H271 zenon_H1 zenon_H285 zenon_H1b9 zenon_Ha1. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.15 apply (zenon_L518_); trivial. % 0.92/1.15 apply (zenon_L221_); trivial. % 0.92/1.15 (* end of lemma zenon_L519_ *) % 0.92/1.15 assert (zenon_L520_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H49 zenon_H15b zenon_H15a zenon_H159 zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H24d zenon_H27c zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H141 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H1b1 zenon_H285 zenon_H14a zenon_H2b zenon_H1b9 zenon_H38 zenon_Ha1 zenon_H47 zenon_H72 zenon_Hf6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.15 apply (zenon_L453_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_L510_); trivial. % 0.92/1.15 apply (zenon_L517_); trivial. % 0.92/1.15 apply (zenon_L519_); trivial. % 0.92/1.15 apply (zenon_L50_); trivial. % 0.92/1.15 apply (zenon_L54_); trivial. % 0.92/1.15 apply (zenon_L100_); trivial. % 0.92/1.15 apply (zenon_L120_); trivial. % 0.92/1.15 (* end of lemma zenon_L520_ *) % 0.92/1.15 assert (zenon_L521_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H199 zenon_H19a zenon_H151 zenon_H111 zenon_Hf5 zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H19 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H49 zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H141 zenon_Hf6 zenon_H162 zenon_H24d zenon_H27c zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H1b9 zenon_H85 zenon_H138 zenon_H188 zenon_H166 zenon_H14c zenon_H106 zenon_He0 zenon_H283 zenon_H2d zenon_H17a zenon_H33 zenon_H20c zenon_H1bb zenon_H87 zenon_H19b. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.15 apply (zenon_L514_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.15 apply (zenon_L468_); trivial. % 0.92/1.15 apply (zenon_L100_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H167 ]. % 0.92/1.15 apply (zenon_L515_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.92/1.15 exact (zenon_H15 zenon_H16). % 0.92/1.15 exact (zenon_H2f zenon_H30). % 0.92/1.15 apply (zenon_L15_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ]. % 0.92/1.15 apply (zenon_L190_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H86 | zenon_intro zenon_H30 ]. % 0.92/1.15 exact (zenon_H85 zenon_H86). % 0.92/1.15 exact (zenon_H2f zenon_H30). % 0.92/1.15 apply (zenon_L520_); trivial. % 0.92/1.15 apply (zenon_L125_); trivial. % 0.92/1.15 apply (zenon_L147_); trivial. % 0.92/1.15 (* end of lemma zenon_L521_ *) % 0.92/1.15 assert (zenon_L522_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H188 zenon_Hc0 zenon_H2b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_Ha zenon_H43 zenon_Hb2 zenon_Hb4 zenon_H38. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_L510_); trivial. % 0.92/1.15 apply (zenon_L48_); trivial. % 0.92/1.15 apply (zenon_L313_); trivial. % 0.92/1.15 (* end of lemma zenon_L522_ *) % 0.92/1.15 assert (zenon_L523_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H254 zenon_H253 zenon_H252 zenon_H2b zenon_H14a zenon_H38. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_L510_); trivial. % 0.92/1.15 apply (zenon_L105_); trivial. % 0.92/1.15 apply (zenon_L313_); trivial. % 0.92/1.15 (* end of lemma zenon_L523_ *) % 0.92/1.15 assert (zenon_L524_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H252 zenon_H253 zenon_H254 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H2b zenon_Hc0 zenon_H188. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_L522_); trivial. % 0.92/1.15 apply (zenon_L523_); trivial. % 0.92/1.15 (* end of lemma zenon_L524_ *) % 0.92/1.15 assert (zenon_L525_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H106 zenon_Hb4 zenon_Hb2 zenon_H252 zenon_H253 zenon_H254 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_Hf6 zenon_H188 zenon_H17a zenon_H178 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H1b9 zenon_H12a zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H121 zenon_H11f zenon_H1bb zenon_H14c zenon_Hf5. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_L187_); trivial. % 0.92/1.15 apply (zenon_L524_); trivial. % 0.92/1.15 (* end of lemma zenon_L525_ *) % 0.92/1.15 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(hskp21)) -> False). % 0.92/1.15 do 0 intro. intros zenon_H59 zenon_H285 zenon_H1e zenon_H1d zenon_H26 zenon_H1. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H4d | zenon_intro zenon_H286 ]. % 0.92/1.15 apply (zenon_L22_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_Haf | zenon_intro zenon_H2 ]. % 0.92/1.15 apply (zenon_L46_); trivial. % 0.92/1.15 exact (zenon_H1 zenon_H2). % 0.92/1.15 (* end of lemma zenon_L526_ *) % 0.92/1.15 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H31 zenon_H5e zenon_H285 zenon_H1 zenon_H2b zenon_H3 zenon_H49. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.15 apply (zenon_L21_); trivial. % 0.92/1.15 apply (zenon_L526_); trivial. % 0.92/1.15 (* end of lemma zenon_L527_ *) % 0.92/1.15 assert (zenon_L528_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_Ha1 zenon_H38 zenon_H285 zenon_H1 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H174 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.15 apply (zenon_L37_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.15 apply (zenon_L331_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.15 apply (zenon_L317_); trivial. % 0.92/1.15 apply (zenon_L502_); trivial. % 0.92/1.15 apply (zenon_L527_); trivial. % 0.92/1.15 (* end of lemma zenon_L528_ *) % 0.92/1.15 assert (zenon_L529_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H5f zenon_H43 zenon_H45 zenon_H47 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H174 zenon_H176 zenon_Hf8 zenon_Hfa zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H254 zenon_H253 zenon_H252 zenon_H1 zenon_H285 zenon_H38 zenon_Ha1. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.15 apply (zenon_L528_); trivial. % 0.92/1.15 apply (zenon_L174_); trivial. % 0.92/1.15 (* end of lemma zenon_L529_ *) % 0.92/1.15 assert (zenon_L530_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_Hc4 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H285 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H47 zenon_H5f zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.15 apply (zenon_L529_); trivial. % 0.92/1.15 apply (zenon_L313_); trivial. % 0.92/1.15 apply (zenon_L50_); trivial. % 0.92/1.15 apply (zenon_L54_); trivial. % 0.92/1.15 apply (zenon_L62_); trivial. % 0.92/1.15 apply (zenon_L523_); trivial. % 0.92/1.15 (* end of lemma zenon_L530_ *) % 0.92/1.15 assert (zenon_L531_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H18a zenon_H151 zenon_H201 zenon_H1bd zenon_H202 zenon_H1ec zenon_H1b1 zenon_H1bf zenon_H1c8 zenon_H1d6 zenon_H111 zenon_H106 zenon_Hb4 zenon_H252 zenon_H253 zenon_H254 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_Hf6 zenon_H188 zenon_H17a zenon_H178 zenon_H176 zenon_He0 zenon_H1b9 zenon_H14a zenon_Hc0 zenon_H38 zenon_H5e zenon_H5a zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H121 zenon_H11f zenon_H1bb zenon_H14c zenon_Hf5 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H72 zenon_H8d zenon_H285 zenon_Ha1 zenon_Hc4 zenon_H189. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.15 apply (zenon_L525_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_L187_); trivial. % 0.92/1.15 apply (zenon_L530_); trivial. % 0.92/1.15 apply (zenon_L339_); trivial. % 0.92/1.15 (* end of lemma zenon_L531_ *) % 0.92/1.15 assert (zenon_L532_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H189 zenon_Hc4 zenon_Ha1 zenon_H285 zenon_H8d zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf5 zenon_H14c zenon_H1bb zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H18d zenon_H18e zenon_H18f zenon_H11f zenon_H121 zenon_H188 zenon_Hf6 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H254 zenon_H253 zenon_H252 zenon_Hb4 zenon_H106. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_L342_); trivial. % 0.92/1.15 apply (zenon_L524_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_L342_); trivial. % 0.92/1.15 apply (zenon_L530_); trivial. % 0.92/1.15 (* end of lemma zenon_L532_ *) % 0.92/1.15 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> (~(c1_1 (a65))) -> (~(c2_1 (a65))) -> (c3_1 (a65)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H31 zenon_H162 zenon_H109 zenon_H10a zenon_H108 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.15 apply (zenon_L202_); trivial. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.15 apply (zenon_L152_); trivial. % 0.92/1.15 apply (zenon_L326_); trivial. % 0.92/1.15 (* end of lemma zenon_L533_ *) % 0.92/1.15 assert (zenon_L534_ : ((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H1ee zenon_H38 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H174 zenon_H176. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1d9. zenon_intro zenon_H1f0. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_L176_); trivial. % 0.92/1.15 apply (zenon_L533_); trivial. % 0.92/1.15 (* end of lemma zenon_L534_ *) % 0.92/1.15 assert (zenon_L535_ : ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp18)) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H202 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H10a zenon_H1b1 zenon_H38 zenon_H1bf zenon_H108 zenon_H109 zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_H174 zenon_H176 zenon_H1c3 zenon_H1c8 zenon_H1d6. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ee ]. % 0.92/1.15 apply (zenon_L199_); trivial. % 0.92/1.15 apply (zenon_L534_); trivial. % 0.92/1.15 (* end of lemma zenon_L535_ *) % 0.92/1.15 assert (zenon_L536_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H12a zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H38 zenon_H1bf zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_H111 zenon_H5a zenon_H14c zenon_H5f zenon_Hf5. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.15 apply (zenon_L79_); trivial. % 0.92/1.15 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.15 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1fd ]. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.15 apply (zenon_L535_); trivial. % 0.92/1.15 apply (zenon_L207_); trivial. % 0.92/1.15 apply (zenon_L211_); trivial. % 0.92/1.15 apply (zenon_L338_); trivial. % 0.92/1.15 apply (zenon_L332_); trivial. % 0.92/1.15 (* end of lemma zenon_L536_ *) % 0.92/1.15 assert (zenon_L537_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H60 zenon_H38 zenon_H17a zenon_H178 zenon_H129 zenon_H12a zenon_H133 zenon_H2b zenon_H14a zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.15 apply (zenon_L254_); trivial. % 0.92/1.15 apply (zenon_L134_); trivial. % 0.92/1.15 (* end of lemma zenon_L537_ *) % 0.92/1.15 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.15 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.15 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.15 apply (zenon_L356_); trivial. % 0.92/1.15 apply (zenon_L137_); trivial. % 0.92/1.15 (* end of lemma zenon_L538_ *) % 0.92/1.15 assert (zenon_L539_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H188 zenon_H1b1 zenon_H9a zenon_H9d zenon_Hae zenon_Ha1 zenon_H38 zenon_H285 zenon_H1 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H178 zenon_H17a zenon_H5f. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.16 apply (zenon_L528_); trivial. % 0.92/1.16 apply (zenon_L537_); trivial. % 0.92/1.16 apply (zenon_L538_); trivial. % 0.92/1.16 (* end of lemma zenon_L539_ *) % 0.92/1.16 assert (zenon_L540_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H189 zenon_Hc4 zenon_H1b1 zenon_H9a zenon_H9d zenon_Hae zenon_Ha1 zenon_H285 zenon_H8d zenon_H14c zenon_H178 zenon_H17a zenon_H72 zenon_H5f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H188 zenon_Hc0 zenon_H1b9 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_Hb4 zenon_H38 zenon_H14a zenon_Hf5 zenon_H106. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_L350_); trivial. % 0.92/1.16 apply (zenon_L524_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.16 apply (zenon_L539_); trivial. % 0.92/1.16 apply (zenon_L238_); trivial. % 0.92/1.16 apply (zenon_L54_); trivial. % 0.92/1.16 (* end of lemma zenon_L540_ *) % 0.92/1.16 assert (zenon_L541_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bd zenon_H202 zenon_H1ec zenon_H1bf zenon_He0 zenon_H1c8 zenon_H1d6 zenon_H111 zenon_H106 zenon_Hf5 zenon_H14a zenon_H38 zenon_Hb4 zenon_H252 zenon_H253 zenon_H254 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H1b9 zenon_Hc0 zenon_H188 zenon_H5e zenon_H5a zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_H162 zenon_H5f zenon_H72 zenon_H17a zenon_H178 zenon_H14c zenon_H8d zenon_H285 zenon_Ha1 zenon_Hae zenon_H9d zenon_H9a zenon_H1b1 zenon_Hc4 zenon_H189. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.16 apply (zenon_L540_); trivial. % 0.92/1.16 apply (zenon_L364_); trivial. % 0.92/1.16 (* end of lemma zenon_L541_ *) % 0.92/1.16 assert (zenon_L542_ : ((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H59 zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H205 zenon_H204 zenon_H203. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.16 apply (zenon_L145_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.16 apply (zenon_L237_); trivial. % 0.92/1.16 apply (zenon_L22_); trivial. % 0.92/1.16 (* end of lemma zenon_L542_ *) % 0.92/1.16 assert (zenon_L543_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H3 zenon_H49. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.92/1.16 apply (zenon_L21_); trivial. % 0.92/1.16 apply (zenon_L542_); trivial. % 0.92/1.16 (* end of lemma zenon_L543_ *) % 0.92/1.16 assert (zenon_L544_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H5f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.16 apply (zenon_L543_); trivial. % 0.92/1.16 apply (zenon_L349_); trivial. % 0.92/1.16 (* end of lemma zenon_L544_ *) % 0.92/1.16 assert (zenon_L545_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H4d zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H203 zenon_H204 zenon_H205. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.16 apply (zenon_L201_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.16 apply (zenon_L152_); trivial. % 0.92/1.16 apply (zenon_L348_); trivial. % 0.92/1.16 (* end of lemma zenon_L545_ *) % 0.92/1.16 assert (zenon_L546_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H14e zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H162 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H133 zenon_H12a zenon_H129 zenon_H203 zenon_H204 zenon_H205. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 0.92/1.16 apply (zenon_L145_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 0.92/1.16 apply (zenon_L237_); trivial. % 0.92/1.16 apply (zenon_L545_); trivial. % 0.92/1.16 (* end of lemma zenon_L546_ *) % 0.92/1.16 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H18a zenon_H151 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H162 zenon_H5f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.16 apply (zenon_L544_); trivial. % 0.92/1.16 apply (zenon_L546_); trivial. % 0.92/1.16 (* end of lemma zenon_L547_ *) % 0.92/1.16 assert (zenon_L548_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H49 zenon_H1aa zenon_H1bb zenon_H162 zenon_H5f zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.16 apply (zenon_L220_); trivial. % 0.92/1.16 apply (zenon_L547_); trivial. % 0.92/1.16 (* end of lemma zenon_L548_ *) % 0.92/1.16 assert (zenon_L549_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_H14a zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H252 zenon_H253 zenon_H254 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_L383_); trivial. % 0.92/1.16 apply (zenon_L524_); trivial. % 0.92/1.16 (* end of lemma zenon_L549_ *) % 0.92/1.16 assert (zenon_L550_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H189 zenon_Hc4 zenon_Ha1 zenon_H285 zenon_H162 zenon_H8d zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H5f zenon_H261 zenon_H25f zenon_H210 zenon_H211 zenon_H212 zenon_H234 zenon_H236 zenon_H254 zenon_H253 zenon_H252 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hb4 zenon_H38 zenon_H14a zenon_Hf5 zenon_H106. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.16 apply (zenon_L549_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_L383_); trivial. % 0.92/1.16 apply (zenon_L530_); trivial. % 0.92/1.16 (* end of lemma zenon_L550_ *) % 0.92/1.16 assert (zenon_L551_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (ndr1_0) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H5f zenon_H261 zenon_H25f zenon_H254 zenon_H253 zenon_H252 zenon_H176 zenon_H174 zenon_Ha zenon_H64 zenon_H65 zenon_H66 zenon_H129 zenon_H133 zenon_H43 zenon_He0 zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H108 zenon_H10a zenon_H109 zenon_H270 zenon_H271 zenon_H57 zenon_H5a zenon_H234 zenon_H236 zenon_H38. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.16 apply (zenon_L506_); trivial. % 0.92/1.16 apply (zenon_L382_); trivial. % 0.92/1.16 (* end of lemma zenon_L551_ *) % 0.92/1.16 assert (zenon_L552_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H20e zenon_H19b zenon_H1bb zenon_H106 zenon_H14c zenon_H141 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H14a zenon_H5f zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.16 apply (zenon_L497_); trivial. % 0.92/1.16 apply (zenon_L247_); trivial. % 0.92/1.16 (* end of lemma zenon_L552_ *) % 0.92/1.16 assert (zenon_L553_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.16 apply (zenon_L388_); trivial. % 0.92/1.16 apply (zenon_L461_); trivial. % 0.92/1.16 (* end of lemma zenon_L553_ *) % 0.92/1.16 assert (zenon_L554_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H19a zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H106 zenon_Hf5 zenon_H87 zenon_H14c zenon_H47 zenon_H188 zenon_H17a zenon_H2d zenon_H283 zenon_H5e zenon_H5a zenon_H49 zenon_H176 zenon_H27c zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.16 apply (zenon_L553_); trivial. % 0.92/1.16 apply (zenon_L469_); trivial. % 0.92/1.16 apply (zenon_L147_); trivial. % 0.92/1.16 (* end of lemma zenon_L554_ *) % 0.92/1.16 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H26c zenon_H26d zenon_H263 zenon_H264 zenon_H265 zenon_Hf0 zenon_H162 zenon_H24d zenon_H189 zenon_He0 zenon_H22b zenon_H1b1 zenon_H1b9 zenon_H11a zenon_H151 zenon_H38 zenon_H166 zenon_H111 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5 zenon_H5f zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H20c zenon_H141 zenon_H14c zenon_H106 zenon_H1bb zenon_H19b zenon_H20e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 0.92/1.16 apply (zenon_L552_); trivial. % 0.92/1.16 apply (zenon_L442_); trivial. % 0.92/1.16 (* end of lemma zenon_L555_ *) % 0.92/1.16 assert (zenon_L556_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H185 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H265 zenon_H264 zenon_H263. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.16 apply (zenon_L152_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.16 apply (zenon_L386_); trivial. % 0.92/1.16 apply (zenon_L136_); trivial. % 0.92/1.16 (* end of lemma zenon_L556_ *) % 0.92/1.16 assert (zenon_L557_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H129 zenon_H133 zenon_He0 zenon_H14a zenon_H12a zenon_H72 zenon_H5f zenon_H43 zenon_H47 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hf8 zenon_Hfa zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H254 zenon_H253 zenon_H252 zenon_H285 zenon_H38 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_Hc0 zenon_Hc4. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.16 apply (zenon_L529_); trivial. % 0.92/1.16 apply (zenon_L556_); trivial. % 0.92/1.16 apply (zenon_L50_); trivial. % 0.92/1.16 apply (zenon_L54_); trivial. % 0.92/1.16 apply (zenon_L397_); trivial. % 0.92/1.16 (* end of lemma zenon_L557_ *) % 0.92/1.16 assert (zenon_L558_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H103 zenon_H188 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H133 zenon_H12a zenon_H129 zenon_H1b9 zenon_H38. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.16 apply (zenon_L510_); trivial. % 0.92/1.16 apply (zenon_L396_); trivial. % 0.92/1.16 apply (zenon_L556_); trivial. % 0.92/1.16 (* end of lemma zenon_L558_ *) % 0.92/1.16 assert (zenon_L559_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H189 zenon_H72 zenon_H8d zenon_H285 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_Hc4 zenon_H1bd zenon_H283 zenon_H2d zenon_Hf5 zenon_H14c zenon_H1bb zenon_H11f zenon_H121 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H254 zenon_H253 zenon_H252 zenon_Hb4 zenon_H106. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.16 apply (zenon_L525_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.16 apply (zenon_L557_); trivial. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.16 apply (zenon_L528_); trivial. % 0.92/1.16 apply (zenon_L185_); trivial. % 0.92/1.16 apply (zenon_L467_); trivial. % 0.92/1.16 apply (zenon_L193_); trivial. % 0.92/1.16 apply (zenon_L54_); trivial. % 0.92/1.16 apply (zenon_L558_); trivial. % 0.92/1.16 (* end of lemma zenon_L559_ *) % 0.92/1.16 assert (zenon_L560_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hc4 zenon_H121 zenon_H11f zenon_H18f zenon_H18e zenon_H18d zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.16 apply (zenon_L387_); trivial. % 0.92/1.16 apply (zenon_L219_); trivial. % 0.92/1.16 (* end of lemma zenon_L560_ *) % 0.92/1.16 assert (zenon_L561_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H12a zenon_H1b9 zenon_H38 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H43 zenon_H162 zenon_H5f. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.16 apply (zenon_L175_); trivial. % 0.92/1.16 apply (zenon_L397_); trivial. % 0.92/1.16 (* end of lemma zenon_L561_ *) % 0.92/1.16 assert (zenon_L562_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H106 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H12a zenon_H1b9 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H121 zenon_H11f zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H1bb zenon_Hf5. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.16 apply (zenon_L561_); trivial. % 0.92/1.16 apply (zenon_L344_); trivial. % 0.92/1.16 apply (zenon_L558_); trivial. % 0.92/1.16 (* end of lemma zenon_L562_ *) % 0.92/1.16 assert (zenon_L563_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_H166 zenon_H38 zenon_Hf6 zenon_H151. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.16 apply (zenon_L553_); trivial. % 0.92/1.16 apply (zenon_L492_); trivial. % 0.92/1.16 (* end of lemma zenon_L563_ *) % 0.92/1.16 assert (zenon_L564_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H20e zenon_H20c zenon_H141 zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_H19b. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.16 apply (zenon_L563_); trivial. % 0.92/1.16 apply (zenon_L434_); trivial. % 0.92/1.16 (* end of lemma zenon_L564_ *) % 0.92/1.16 assert (zenon_L565_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H138 zenon_H85 zenon_H15b zenon_H15a zenon_H159 zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H24d zenon_H27c zenon_H176 zenon_H141 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H1b1 zenon_H285 zenon_H14a zenon_H1b9 zenon_H38 zenon_Ha1 zenon_H47 zenon_H72 zenon_Hf6 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H252 zenon_H253 zenon_H254 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_L383_); trivial. % 0.92/1.16 apply (zenon_L520_); trivial. % 0.92/1.16 (* end of lemma zenon_L565_ *) % 0.92/1.16 assert (zenon_L566_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H238 zenon_H2d zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.16 apply (zenon_L388_); trivial. % 0.92/1.16 apply (zenon_L380_); trivial. % 0.92/1.16 (* end of lemma zenon_L566_ *) % 0.92/1.16 assert (zenon_L567_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H106 zenon_H188 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H1b9 zenon_H38 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H252 zenon_H253 zenon_H254 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_L383_); trivial. % 0.92/1.16 apply (zenon_L558_); trivial. % 0.92/1.16 (* end of lemma zenon_L567_ *) % 0.92/1.16 assert (zenon_L568_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hc5 zenon_Ha zenon_H289 zenon_H28a zenon_H28b. % 0.92/1.16 generalize (zenon_Hc5 (a5)). zenon_intro zenon_H28c. % 0.92/1.16 apply (zenon_imply_s _ _ zenon_H28c); [ zenon_intro zenon_H9 | zenon_intro zenon_H28d ]. % 0.92/1.16 exact (zenon_H9 zenon_Ha). % 0.92/1.16 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H28f | zenon_intro zenon_H28e ]. % 0.92/1.16 exact (zenon_H289 zenon_H28f). % 0.92/1.16 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H291 | zenon_intro zenon_H290 ]. % 0.92/1.16 exact (zenon_H291 zenon_H28a). % 0.92/1.16 exact (zenon_H290 zenon_H28b). % 0.92/1.16 (* end of lemma zenon_L568_ *) % 0.92/1.16 assert (zenon_L569_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c2_1 (a5)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H39 zenon_Ha zenon_H289 zenon_Hc5 zenon_H28a. % 0.92/1.16 generalize (zenon_H39 (a5)). zenon_intro zenon_H292. % 0.92/1.16 apply (zenon_imply_s _ _ zenon_H292); [ zenon_intro zenon_H9 | zenon_intro zenon_H293 ]. % 0.92/1.16 exact (zenon_H9 zenon_Ha). % 0.92/1.16 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H28f | zenon_intro zenon_H294 ]. % 0.92/1.16 exact (zenon_H289 zenon_H28f). % 0.92/1.16 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H28b | zenon_intro zenon_H291 ]. % 0.92/1.16 apply (zenon_L568_); trivial. % 0.92/1.16 exact (zenon_H291 zenon_H28a). % 0.92/1.16 (* end of lemma zenon_L569_ *) % 0.92/1.16 assert (zenon_L570_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp20)) -> (~(hskp4)) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hd3 zenon_H28a zenon_H289 zenon_Ha zenon_H39 zenon_Hcf zenon_Hd1. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hd4 ]. % 0.92/1.16 apply (zenon_L569_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd2 ]. % 0.92/1.16 exact (zenon_Hcf zenon_Hd0). % 0.92/1.16 exact (zenon_Hd1 zenon_Hd2). % 0.92/1.16 (* end of lemma zenon_L570_ *) % 0.92/1.16 assert (zenon_L571_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(hskp4)) -> (~(hskp20)) -> (ndr1_0) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp3)) -> (~(hskp14)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H295 zenon_Hd1 zenon_Hcf zenon_Ha zenon_H289 zenon_H28a zenon_Hd3 zenon_Hec zenon_H57. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H39 | zenon_intro zenon_H296 ]. % 0.92/1.16 apply (zenon_L570_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_Hed | zenon_intro zenon_H58 ]. % 0.92/1.16 exact (zenon_Hec zenon_Hed). % 0.92/1.16 exact (zenon_H57 zenon_H58). % 0.92/1.16 (* end of lemma zenon_L571_ *) % 0.92/1.16 assert (zenon_L572_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> False). % 0.92/1.16 do 0 intro. intros zenon_He4 zenon_He5 zenon_He0 zenon_H43 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H57 zenon_H295. % 0.92/1.16 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ]. % 0.92/1.16 apply (zenon_L571_); trivial. % 0.92/1.16 apply (zenon_L61_); trivial. % 0.92/1.16 (* end of lemma zenon_L572_ *) % 0.92/1.16 assert (zenon_L573_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> False). % 0.92/1.16 do 0 intro. intros zenon_He5 zenon_H101 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Ha zenon_Hec zenon_H57 zenon_H295. % 0.92/1.16 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ]. % 0.92/1.16 apply (zenon_L571_); trivial. % 0.92/1.16 apply (zenon_L75_); trivial. % 0.92/1.16 (* end of lemma zenon_L573_ *) % 0.92/1.16 assert (zenon_L574_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(hskp3)) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H168 zenon_H106 zenon_H295 zenon_Hec zenon_H289 zenon_H28a zenon_Hd1 zenon_Hd3 zenon_H101 zenon_He5. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_L573_); trivial. % 0.92/1.16 apply (zenon_L76_); trivial. % 0.92/1.16 (* end of lemma zenon_L574_ *) % 0.92/1.16 assert (zenon_L575_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H6e zenon_H106 zenon_Hf0 zenon_Hee zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H72 zenon_H47 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H49 zenon_H9a zenon_H9d zenon_Ha1 zenon_H19 zenon_H17 zenon_Hb4 zenon_H38 zenon_H5f zenon_Hc0 zenon_Hc4 zenon_H5a zenon_H14a zenon_Hf5 zenon_H101 zenon_H189. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.16 apply (zenon_L55_); trivial. % 0.92/1.16 apply (zenon_L572_); trivial. % 0.92/1.16 apply (zenon_L114_); trivial. % 0.92/1.16 apply (zenon_L227_); trivial. % 0.92/1.16 apply (zenon_L574_); trivial. % 0.92/1.16 apply (zenon_L233_); trivial. % 0.92/1.16 (* end of lemma zenon_L575_ *) % 0.92/1.16 assert (zenon_L576_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H20f zenon_Ha zenon_H289 zenon_H297 zenon_H28a. % 0.92/1.16 generalize (zenon_H20f (a5)). zenon_intro zenon_H298. % 0.92/1.16 apply (zenon_imply_s _ _ zenon_H298); [ zenon_intro zenon_H9 | zenon_intro zenon_H299 ]. % 0.92/1.16 exact (zenon_H9 zenon_Ha). % 0.92/1.16 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H28f | zenon_intro zenon_H29a ]. % 0.92/1.16 exact (zenon_H289 zenon_H28f). % 0.92/1.16 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29b | zenon_intro zenon_H291 ]. % 0.92/1.16 exact (zenon_H297 zenon_H29b). % 0.92/1.16 exact (zenon_H291 zenon_H28a). % 0.92/1.16 (* end of lemma zenon_L576_ *) % 0.92/1.16 assert (zenon_L577_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H6d zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H77 zenon_H76 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.16 apply (zenon_L576_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.16 apply (zenon_L190_); trivial. % 0.92/1.16 apply (zenon_L17_); trivial. % 0.92/1.16 (* end of lemma zenon_L577_ *) % 0.92/1.16 assert (zenon_L578_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.16 apply (zenon_L66_); trivial. % 0.92/1.16 apply (zenon_L577_); trivial. % 0.92/1.16 (* end of lemma zenon_L578_ *) % 0.92/1.16 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.16 apply (zenon_L101_); trivial. % 0.92/1.16 apply (zenon_L578_); trivial. % 0.92/1.16 (* end of lemma zenon_L579_ *) % 0.92/1.16 assert (zenon_L580_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(hskp3)) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H19b zenon_H22b zenon_H1bb zenon_H297 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H141 zenon_H189 zenon_H101 zenon_Hf5 zenon_H14a zenon_H5a zenon_Hc4 zenon_Hc0 zenon_H5f zenon_H38 zenon_Hb4 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H47 zenon_H72 zenon_H295 zenon_Hec zenon_H289 zenon_H28a zenon_Hd1 zenon_Hd3 zenon_He0 zenon_He5 zenon_Hf6 zenon_Hee zenon_Hf0 zenon_H106 zenon_H6e zenon_H166 zenon_H11a zenon_H111 zenon_H151. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.16 apply (zenon_L575_); trivial. % 0.92/1.16 apply (zenon_L579_); trivial. % 0.92/1.16 (* end of lemma zenon_L580_ *) % 0.92/1.16 assert (zenon_L581_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (ndr1_0) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_H85 zenon_H138 zenon_Ha zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_H43 zenon_H47 zenon_H72. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.16 apply (zenon_L128_); trivial. % 0.92/1.16 apply (zenon_L124_); trivial. % 0.92/1.16 (* end of lemma zenon_L581_ *) % 0.92/1.16 assert (zenon_L582_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H72 zenon_H47 zenon_H16e zenon_Hec zenon_H138 zenon_H85 zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.16 apply (zenon_L581_); trivial. % 0.92/1.16 apply (zenon_L578_); trivial. % 0.92/1.16 (* end of lemma zenon_L582_ *) % 0.92/1.16 assert (zenon_L583_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(hskp3)) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H199 zenon_H19b zenon_H22b zenon_H1bb zenon_H297 zenon_H16e zenon_H138 zenon_H85 zenon_Hee zenon_Hae zenon_H189 zenon_H295 zenon_Hec zenon_H289 zenon_H28a zenon_H101 zenon_Hf5 zenon_H14a zenon_H5a zenon_H5f zenon_H38 zenon_H19 zenon_H5e zenon_H8d zenon_H49 zenon_Hb4 zenon_H11a zenon_Ha1 zenon_Hc0 zenon_Hc4 zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H72 zenon_H47 zenon_H141 zenon_H2f zenon_H32 zenon_H162 zenon_H166 zenon_H14c zenon_H106 zenon_H111 zenon_H151. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.16 apply (zenon_L121_); trivial. % 0.92/1.16 apply (zenon_L574_); trivial. % 0.92/1.16 apply (zenon_L125_); trivial. % 0.92/1.16 apply (zenon_L582_); trivial. % 0.92/1.16 (* end of lemma zenon_L583_ *) % 0.92/1.16 assert (zenon_L584_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp30)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.16 do 0 intro. intros zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H15 zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.16 apply (zenon_L576_); trivial. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.16 apply (zenon_L158_); trivial. % 0.92/1.16 apply (zenon_L427_); trivial. % 0.92/1.16 (* end of lemma zenon_L584_ *) % 0.92/1.16 assert (zenon_L585_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_H60 zenon_H38 zenon_H14a zenon_H2b zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.16 apply (zenon_L584_); trivial. % 0.92/1.16 apply (zenon_L105_); trivial. % 0.92/1.16 (* end of lemma zenon_L585_ *) % 0.92/1.16 assert (zenon_L586_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.16 apply (zenon_L25_); trivial. % 0.92/1.16 apply (zenon_L585_); trivial. % 0.92/1.16 (* end of lemma zenon_L586_ *) % 0.92/1.16 assert (zenon_L587_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c3_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf5 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H12a zenon_H1b9 zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6. % 0.92/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.16 apply (zenon_L181_); trivial. % 0.92/1.16 apply (zenon_L586_); trivial. % 0.92/1.16 (* end of lemma zenon_L587_ *) % 0.92/1.16 assert (zenon_L588_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.16 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.16 apply (zenon_L155_); trivial. % 0.92/1.16 apply (zenon_L577_); trivial. % 0.92/1.16 (* end of lemma zenon_L588_ *) % 0.92/1.16 assert (zenon_L589_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_L189_); trivial. % 0.92/1.17 apply (zenon_L588_); trivial. % 0.92/1.17 (* end of lemma zenon_L589_ *) % 0.92/1.17 assert (zenon_L590_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H60 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L83_); trivial. % 0.92/1.17 apply (zenon_L427_); trivial. % 0.92/1.17 (* end of lemma zenon_L590_ *) % 0.92/1.17 assert (zenon_L591_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H5f zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H43 zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_H1 zenon_H5 zenon_H7. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.17 apply (zenon_L4_); trivial. % 0.92/1.17 apply (zenon_L590_); trivial. % 0.92/1.17 (* end of lemma zenon_L591_ *) % 0.92/1.17 assert (zenon_L592_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp15)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H6d zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H43 zenon_H108 zenon_H109 zenon_H64 zenon_H65 zenon_H66 zenon_He0. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L83_); trivial. % 0.92/1.17 apply (zenon_L17_); trivial. % 0.92/1.17 (* end of lemma zenon_L592_ *) % 0.92/1.17 assert (zenon_L593_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hf6 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H109 zenon_H108 zenon_H22b zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_L188_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.17 apply (zenon_L591_); trivial. % 0.92/1.17 apply (zenon_L592_); trivial. % 0.92/1.17 (* end of lemma zenon_L593_ *) % 0.92/1.17 assert (zenon_L594_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H22b zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_Hf6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_L593_); trivial. % 0.92/1.17 apply (zenon_L588_); trivial. % 0.92/1.17 (* end of lemma zenon_L594_ *) % 0.92/1.17 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H49 zenon_H5a zenon_H5e zenon_H38 zenon_Hc0 zenon_H14a zenon_H1b9 zenon_He0 zenon_H176 zenon_H178 zenon_H17a zenon_H188 zenon_Hf6 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H1bb zenon_H106. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.17 apply (zenon_L587_); trivial. % 0.92/1.17 apply (zenon_L589_); trivial. % 0.92/1.17 apply (zenon_L594_); trivial. % 0.92/1.17 (* end of lemma zenon_L595_ *) % 0.92/1.17 assert (zenon_L596_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a5))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp4)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H22b zenon_H297 zenon_H18f zenon_H18e zenon_H18d zenon_Hd3 zenon_H28a zenon_H289 zenon_Ha zenon_Hcf zenon_Hd1. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L145_); trivial. % 0.92/1.17 apply (zenon_L570_); trivial. % 0.92/1.17 (* end of lemma zenon_L596_ *) % 0.92/1.17 assert (zenon_L597_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_He4 zenon_He5 zenon_He0 zenon_H43 zenon_H289 zenon_H297 zenon_H28a zenon_H18d zenon_H18e zenon_H18f zenon_Hd3 zenon_Hd1 zenon_H22b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.17 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ]. % 0.92/1.17 apply (zenon_L596_); trivial. % 0.92/1.17 apply (zenon_L61_); trivial. % 0.92/1.17 (* end of lemma zenon_L597_ *) % 0.92/1.17 assert (zenon_L598_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H6d zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H18f zenon_H18e zenon_H18d. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L145_); trivial. % 0.92/1.17 apply (zenon_L17_); trivial. % 0.92/1.17 (* end of lemma zenon_L598_ *) % 0.92/1.17 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H18f zenon_H18e zenon_H18d zenon_H28a zenon_H297 zenon_H289 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.17 apply (zenon_L155_); trivial. % 0.92/1.17 apply (zenon_L598_); trivial. % 0.92/1.17 (* end of lemma zenon_L599_ *) % 0.92/1.17 assert (zenon_L600_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H22b zenon_Hd1 zenon_Hd3 zenon_H18f zenon_H18e zenon_H18d zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_L79_); trivial. % 0.92/1.17 apply (zenon_L597_); trivial. % 0.92/1.17 apply (zenon_L599_); trivial. % 0.92/1.17 (* end of lemma zenon_L600_ *) % 0.92/1.17 assert (zenon_L601_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H47 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf6 zenon_He5 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_Hd3 zenon_Hd1 zenon_H22b zenon_H111 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H72 zenon_Hf5 zenon_H151. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.17 apply (zenon_L151_); trivial. % 0.92/1.17 apply (zenon_L600_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_L188_); trivial. % 0.92/1.17 apply (zenon_L597_); trivial. % 0.92/1.17 apply (zenon_L588_); trivial. % 0.92/1.17 (* end of lemma zenon_L601_ *) % 0.92/1.17 assert (zenon_L602_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L302_); trivial. % 0.92/1.17 apply (zenon_L17_); trivial. % 0.92/1.17 (* end of lemma zenon_L602_ *) % 0.92/1.17 assert (zenon_L603_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a26)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a26))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H1e zenon_H1d zenon_H26 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H162 zenon_Hfa zenon_Hc5 zenon_Hf8 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L437_); trivial. % 0.92/1.17 apply (zenon_L438_); trivial. % 0.92/1.17 (* end of lemma zenon_L603_ *) % 0.92/1.17 assert (zenon_L604_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H31 zenon_H24d zenon_H3c zenon_H3b zenon_H3a zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H74 zenon_H76 zenon_H77 zenon_H1aa zenon_H19f zenon_H19e zenon_Hf8 zenon_Hfa zenon_H162 zenon_H1b1 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.17 apply (zenon_L602_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.17 apply (zenon_L603_); trivial. % 0.92/1.17 apply (zenon_L78_); trivial. % 0.92/1.17 (* end of lemma zenon_L604_ *) % 0.92/1.17 assert (zenon_L605_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H9c zenon_H24d zenon_H3c zenon_H3b zenon_H3a zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H74 zenon_H76 zenon_H77 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_Hf8 zenon_Hfa zenon_H162 zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.17 apply (zenon_L602_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.17 apply (zenon_L317_); trivial. % 0.92/1.17 apply (zenon_L78_); trivial. % 0.92/1.17 (* end of lemma zenon_L605_ *) % 0.92/1.17 assert (zenon_L606_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H14c zenon_H22b zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_Hf8 zenon_Hfa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H24d zenon_H38 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.17 apply (zenon_L155_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.17 apply (zenon_L250_); trivial. % 0.92/1.17 apply (zenon_L604_); trivial. % 0.92/1.17 apply (zenon_L605_); trivial. % 0.92/1.17 (* end of lemma zenon_L606_ *) % 0.92/1.17 assert (zenon_L607_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H151 zenon_H189 zenon_H14c zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.17 apply (zenon_L151_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_L593_); trivial. % 0.92/1.17 apply (zenon_L156_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_L593_); trivial. % 0.92/1.17 apply (zenon_L606_); trivial. % 0.92/1.17 (* end of lemma zenon_L607_ *) % 0.92/1.17 assert (zenon_L608_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H199 zenon_H19a zenon_H111 zenon_H151 zenon_H189 zenon_H14c zenon_H1bb zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5 zenon_Hc0 zenon_H19e zenon_H19f zenon_H11a zenon_Hc4 zenon_H106 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_H188 zenon_H17a zenon_H176 zenon_H1b9 zenon_H14a zenon_H5e zenon_H5a zenon_H49 zenon_H19b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.17 apply (zenon_L607_); trivial. % 0.92/1.17 apply (zenon_L595_); trivial. % 0.92/1.17 apply (zenon_L601_); trivial. % 0.92/1.17 (* end of lemma zenon_L608_ *) % 0.92/1.17 assert (zenon_L609_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H24f zenon_H20e zenon_H189 zenon_H24d zenon_Hf0 zenon_H19b zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H5f zenon_H162 zenon_H47 zenon_H49 zenon_H5a zenon_H5e zenon_H14a zenon_H1b9 zenon_H176 zenon_H17a zenon_H188 zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H7 zenon_H72 zenon_H83 zenon_H1bb zenon_H106 zenon_Hc4 zenon_H11a zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H38 zenon_H9d zenon_H1b1 zenon_H14c zenon_H5 zenon_H127 zenon_Ha1 zenon_Hf5 zenon_H151 zenon_H19a. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.17 apply (zenon_L482_); trivial. % 0.92/1.17 apply (zenon_L595_); trivial. % 0.92/1.17 apply (zenon_L601_); trivial. % 0.92/1.17 apply (zenon_L608_); trivial. % 0.92/1.17 (* end of lemma zenon_L609_ *) % 0.92/1.17 assert (zenon_L610_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hf6 zenon_H6e zenon_H2f zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5 zenon_H7 zenon_H43 zenon_H47 zenon_H72. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.17 apply (zenon_L263_); trivial. % 0.92/1.17 apply (zenon_L50_); trivial. % 0.92/1.17 apply (zenon_L406_); trivial. % 0.92/1.17 (* end of lemma zenon_L610_ *) % 0.92/1.17 assert (zenon_L611_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hf5 zenon_Hf0 zenon_Hb2 zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H2f zenon_H6e zenon_Hf6. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_L610_); trivial. % 0.92/1.17 apply (zenon_L68_); trivial. % 0.92/1.17 (* end of lemma zenon_L611_ *) % 0.92/1.17 assert (zenon_L612_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H189 zenon_H106 zenon_H295 zenon_H289 zenon_H28a zenon_Hd1 zenon_Hd3 zenon_H101 zenon_He5 zenon_Hf6 zenon_H6e zenon_H2f zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_Hae zenon_H32 zenon_Hec zenon_Hee zenon_Hf0 zenon_Hf5. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.17 apply (zenon_L611_); trivial. % 0.92/1.17 apply (zenon_L574_); trivial. % 0.92/1.17 (* end of lemma zenon_L612_ *) % 0.92/1.17 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H31 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H108 zenon_H109 zenon_H10a zenon_H9d zenon_H98 zenon_H9a zenon_H1b1 zenon_H3a zenon_H3b zenon_H3c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L251_); trivial. % 0.92/1.17 apply (zenon_L17_); trivial. % 0.92/1.17 (* end of lemma zenon_L613_ *) % 0.92/1.17 assert (zenon_L614_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp25)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Ha1 zenon_H127 zenon_H5 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H289 zenon_H297 zenon_H28a zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H98 zenon_H9a zenon_H9d zenon_H3a zenon_H3b zenon_H3c zenon_H22b zenon_H38. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.17 apply (zenon_L250_); trivial. % 0.92/1.17 apply (zenon_L613_); trivial. % 0.92/1.17 apply (zenon_L41_); trivial. % 0.92/1.17 (* end of lemma zenon_L614_ *) % 0.92/1.17 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H31 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H108 zenon_H109 zenon_H10a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H3a zenon_H3b zenon_H3c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L161_); trivial. % 0.92/1.17 apply (zenon_L17_); trivial. % 0.92/1.17 (* end of lemma zenon_L615_ *) % 0.92/1.17 assert (zenon_L616_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hab zenon_H38 zenon_H22b zenon_H3c zenon_H3b zenon_H3a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.17 apply (zenon_L254_); trivial. % 0.92/1.17 apply (zenon_L615_); trivial. % 0.92/1.17 (* end of lemma zenon_L616_ *) % 0.92/1.17 assert (zenon_L617_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H127 zenon_Ha1 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.17 apply (zenon_L263_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.92/1.17 apply (zenon_L614_); trivial. % 0.92/1.17 apply (zenon_L616_); trivial. % 0.92/1.17 (* end of lemma zenon_L617_ *) % 0.92/1.17 assert (zenon_L618_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H19b zenon_H1bb zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H5f zenon_H83 zenon_H205 zenon_H204 zenon_H203 zenon_H5 zenon_H7 zenon_Ha1 zenon_H127 zenon_H1aa zenon_H14c zenon_H289 zenon_H297 zenon_H28a zenon_H1b1 zenon_H9a zenon_H9d zenon_H22b zenon_H38 zenon_Hae zenon_H72 zenon_Hf5 zenon_H151. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.17 apply (zenon_L151_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_L86_); trivial. % 0.92/1.17 apply (zenon_L617_); trivial. % 0.92/1.17 apply (zenon_L264_); trivial. % 0.92/1.17 (* end of lemma zenon_L618_ *) % 0.92/1.17 assert (zenon_L619_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H199 zenon_H19b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H22b zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_Hf6 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H14c zenon_H189 zenon_H151. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.17 apply (zenon_L607_); trivial. % 0.92/1.17 apply (zenon_L246_); trivial. % 0.92/1.17 (* end of lemma zenon_L619_ *) % 0.92/1.17 assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H24f zenon_H20e zenon_H20c zenon_Hf0 zenon_H47 zenon_H162 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H19b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.17 apply (zenon_L618_); trivial. % 0.92/1.17 apply (zenon_L619_); trivial. % 0.92/1.17 (* end of lemma zenon_L620_ *) % 0.92/1.17 assert (zenon_L621_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H43 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H45 zenon_H47 zenon_H72. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.17 apply (zenon_L51_); trivial. % 0.92/1.17 apply (zenon_L410_); trivial. % 0.92/1.17 (* end of lemma zenon_L621_ *) % 0.92/1.17 assert (zenon_L622_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H5f zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H2f zenon_H32 zenon_Hae zenon_H47 zenon_H72 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_L621_); trivial. % 0.92/1.17 apply (zenon_L62_); trivial. % 0.92/1.17 apply (zenon_L281_); trivial. % 0.92/1.17 (* end of lemma zenon_L622_ *) % 0.92/1.17 assert (zenon_L623_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False). % 0.92/1.17 do 0 intro. intros zenon_He4 zenon_Hc4 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H17 zenon_H11a. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 0.92/1.17 apply (zenon_L81_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 0.92/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L83_); trivial. % 0.92/1.17 apply (zenon_L274_); trivial. % 0.92/1.17 (* end of lemma zenon_L623_ *) % 0.92/1.17 assert (zenon_L624_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hf6 zenon_Hc4 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H43 zenon_H17 zenon_H11a zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_L79_); trivial. % 0.92/1.17 apply (zenon_L623_); trivial. % 0.92/1.17 (* end of lemma zenon_L624_ *) % 0.92/1.17 assert (zenon_L625_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hc4 zenon_Hf6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_L624_); trivial. % 0.92/1.17 apply (zenon_L281_); trivial. % 0.92/1.17 (* end of lemma zenon_L625_ *) % 0.92/1.17 assert (zenon_L626_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c1_1 (a5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H151 zenon_H111 zenon_H11a zenon_H297 zenon_H22b zenon_H106 zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H72 zenon_H47 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H49 zenon_H9a zenon_H9d zenon_Ha1 zenon_H19 zenon_H17 zenon_Hb4 zenon_H38 zenon_H5f zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_H5a zenon_H14a zenon_Hf5 zenon_H101 zenon_H189. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_L621_); trivial. % 0.92/1.17 apply (zenon_L572_); trivial. % 0.92/1.17 apply (zenon_L114_); trivial. % 0.92/1.17 apply (zenon_L622_); trivial. % 0.92/1.17 apply (zenon_L574_); trivial. % 0.92/1.17 apply (zenon_L625_); trivial. % 0.92/1.17 (* end of lemma zenon_L626_ *) % 0.92/1.17 assert (zenon_L627_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_Hf6 zenon_H141 zenon_H15b zenon_H15a zenon_H159 zenon_H5f zenon_Hae zenon_H32 zenon_H2f zenon_Hee zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H5 zenon_H7 zenon_H43 zenon_H47 zenon_H72. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_L96_); trivial. % 0.92/1.17 apply (zenon_L124_); trivial. % 0.92/1.17 (* end of lemma zenon_L627_ *) % 0.92/1.17 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.17 apply (zenon_L627_); trivial. % 0.92/1.17 apply (zenon_L578_); trivial. % 0.92/1.17 (* end of lemma zenon_L628_ *) % 0.92/1.17 assert (zenon_L629_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c1_1 (a5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H20e zenon_Hc0 zenon_H25d zenon_H151 zenon_H111 zenon_H11a zenon_H297 zenon_H22b zenon_H106 zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H72 zenon_H47 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H49 zenon_H9d zenon_Ha1 zenon_H19 zenon_Hb4 zenon_H38 zenon_H5f zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_H5a zenon_H14a zenon_Hf5 zenon_H101 zenon_H189 zenon_H141 zenon_Hee zenon_H85 zenon_H138 zenon_H5 zenon_H7 zenon_H1bb zenon_H19b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.17 apply (zenon_L626_); trivial. % 0.92/1.17 apply (zenon_L579_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.17 apply (zenon_L376_); trivial. % 0.92/1.17 apply (zenon_L628_); trivial. % 0.92/1.17 (* end of lemma zenon_L629_ *) % 0.92/1.17 assert (zenon_L630_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H24f zenon_H20e zenon_H19a zenon_H189 zenon_H14c zenon_H1bb zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_H188 zenon_H17a zenon_H176 zenon_H14a zenon_H151 zenon_H106 zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H5a zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H19 zenon_Hae zenon_He0 zenon_H5f zenon_H162 zenon_H47 zenon_H5 zenon_H7 zenon_H72 zenon_Hf5 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H5e zenon_H49 zenon_H85 zenon_H138 zenon_H19b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.17 apply (zenon_L289_); trivial. % 0.92/1.17 apply (zenon_L608_); trivial. % 0.92/1.17 (* end of lemma zenon_L630_ *) % 0.92/1.17 assert (zenon_L631_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H20e zenon_H14c zenon_H141 zenon_H151 zenon_H111 zenon_H11a zenon_H166 zenon_H6e zenon_H106 zenon_Hf0 zenon_Hee zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H72 zenon_H47 zenon_Hae zenon_H32 zenon_H2f zenon_H5e zenon_H8d zenon_H49 zenon_H9d zenon_Ha1 zenon_H19 zenon_Hb4 zenon_H38 zenon_H5f zenon_Hc0 zenon_Hc4 zenon_H5a zenon_H14a zenon_Hf5 zenon_H101 zenon_H189 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H1bb zenon_H19b. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.17 apply (zenon_L575_); trivial. % 0.92/1.17 apply (zenon_L239_); trivial. % 0.92/1.17 apply (zenon_L247_); trivial. % 0.92/1.17 (* end of lemma zenon_L631_ *) % 0.92/1.17 assert (zenon_L632_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H7 zenon_H5 zenon_H47 zenon_H162 zenon_H5f zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 0.92/1.17 apply (zenon_L325_); trivial. % 0.92/1.17 apply (zenon_L619_); trivial. % 0.92/1.17 (* end of lemma zenon_L632_ *) % 0.92/1.17 assert (zenon_L633_ : (forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66)))))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H21e zenon_Ha zenon_H297 zenon_Hc5 zenon_H289 zenon_H28a. % 0.92/1.17 generalize (zenon_H21e (a5)). zenon_intro zenon_H29c. % 0.92/1.17 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_H9 | zenon_intro zenon_H29d ]. % 0.92/1.17 exact (zenon_H9 zenon_Ha). % 0.92/1.17 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H29b | zenon_intro zenon_H294 ]. % 0.92/1.17 exact (zenon_H297 zenon_H29b). % 0.92/1.17 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H28b | zenon_intro zenon_H291 ]. % 0.92/1.17 apply (zenon_L568_); trivial. % 0.92/1.17 exact (zenon_H291 zenon_H28a). % 0.92/1.17 (* end of lemma zenon_L633_ *) % 0.92/1.17 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H24d zenon_H229 zenon_H9a zenon_H12a zenon_H129 zenon_H28a zenon_H289 zenon_H297 zenon_H2f zenon_H141 zenon_H254 zenon_H253 zenon_H252 zenon_H111. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.17 apply (zenon_L79_); trivial. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.17 apply (zenon_L331_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ]. % 0.92/1.17 apply (zenon_L633_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ]. % 0.92/1.17 apply (zenon_L235_); trivial. % 0.92/1.17 exact (zenon_H9a zenon_H9b). % 0.92/1.17 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 0.92/1.17 apply (zenon_L27_); trivial. % 0.92/1.17 exact (zenon_H2f zenon_H30). % 0.92/1.17 apply (zenon_L78_); trivial. % 0.92/1.17 (* end of lemma zenon_L634_ *) % 0.92/1.17 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> False). % 0.92/1.17 do 0 intro. intros zenon_H18a zenon_H151 zenon_H24d zenon_H229 zenon_H9a zenon_H28a zenon_H289 zenon_H297 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_Hf5 zenon_Hf0 zenon_H72 zenon_H47 zenon_H16e zenon_Hec zenon_H138 zenon_H85 zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H38 zenon_H17a zenon_H178 zenon_H14a zenon_H176 zenon_H101 zenon_H188 zenon_H189. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.17 apply (zenon_L140_); trivial. % 0.92/1.17 apply (zenon_L634_); trivial. % 0.92/1.17 (* end of lemma zenon_L635_ *) % 0.92/1.17 assert (zenon_L636_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp24)) -> (~(c1_1 (a5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.17 do 0 intro. intros zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H28a zenon_H289 zenon_H5a zenon_H57 zenon_H3 zenon_H297 zenon_H22b zenon_Ha zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.17 apply (zenon_L331_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.17 apply (zenon_L576_); trivial. % 0.92/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.17 apply (zenon_L164_); trivial. % 0.92/1.17 apply (zenon_L569_); trivial. % 0.92/1.17 apply (zenon_L78_); trivial. % 0.92/1.17 (* end of lemma zenon_L636_ *) % 0.92/1.17 assert (zenon_L637_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 0.92/1.18 do 0 intro. intros zenon_Hf6 zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H43 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H57 zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.18 apply (zenon_L79_); trivial. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.18 apply (zenon_L636_); trivial. % 0.92/1.18 apply (zenon_L590_); trivial. % 0.92/1.18 (* end of lemma zenon_L637_ *) % 0.92/1.18 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 0.92/1.18 do 0 intro. intros zenon_H31 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H19e zenon_H19f zenon_H1aa. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.18 apply (zenon_L576_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.18 apply (zenon_L168_); trivial. % 0.92/1.18 apply (zenon_L427_); trivial. % 0.92/1.18 (* end of lemma zenon_L638_ *) % 0.92/1.18 assert (zenon_L639_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H60 zenon_H38 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.18 apply (zenon_L584_); trivial. % 0.92/1.18 apply (zenon_L638_); trivial. % 0.92/1.18 (* end of lemma zenon_L639_ *) % 0.92/1.18 assert (zenon_L640_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H14e zenon_H106 zenon_Hf6 zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H111 zenon_H14c zenon_H1b1 zenon_H38 zenon_Hf5. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.18 apply (zenon_L637_); trivial. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.18 apply (zenon_L636_); trivial. % 0.92/1.18 apply (zenon_L639_); trivial. % 0.92/1.18 apply (zenon_L332_); trivial. % 0.92/1.18 (* end of lemma zenon_L640_ *) % 0.92/1.18 assert (zenon_L641_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H151 zenon_H106 zenon_Hf6 zenon_H5f zenon_H1aa zenon_H162 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H111 zenon_H14c zenon_H1b1 zenon_H38 zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.18 apply (zenon_L151_); trivial. % 0.92/1.18 apply (zenon_L640_); trivial. % 0.92/1.18 (* end of lemma zenon_L641_ *) % 0.92/1.18 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> False). % 0.92/1.18 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H38 zenon_H14a zenon_H2b zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.18 apply (zenon_L127_); trivial. % 0.92/1.18 apply (zenon_L585_); trivial. % 0.92/1.18 (* end of lemma zenon_L642_ *) % 0.92/1.18 assert (zenon_L643_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c1_1 (a5))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H14e zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H28a zenon_H289 zenon_H18d zenon_H18e zenon_H18f zenon_H297 zenon_H22b. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.18 apply (zenon_L331_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 0.92/1.18 apply (zenon_L576_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 0.92/1.18 apply (zenon_L145_); trivial. % 0.92/1.18 apply (zenon_L569_); trivial. % 0.92/1.18 apply (zenon_L78_); trivial. % 0.92/1.18 (* end of lemma zenon_L643_ *) % 0.92/1.18 assert (zenon_L644_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H151 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H18d zenon_H18e zenon_H18f zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.18 apply (zenon_L151_); trivial. % 0.92/1.18 apply (zenon_L643_); trivial. % 0.92/1.18 (* end of lemma zenon_L644_ *) % 0.92/1.18 assert (zenon_L645_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H196 zenon_H19b zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd3 zenon_Hd1 zenon_H16e zenon_Hec zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H14c zenon_H14a zenon_H38 zenon_Hf5 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H151. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.18 apply (zenon_L644_); trivial. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.18 apply (zenon_L333_); trivial. % 0.92/1.18 apply (zenon_L597_); trivial. % 0.92/1.18 apply (zenon_L642_); trivial. % 0.92/1.18 apply (zenon_L643_); trivial. % 0.92/1.18 (* end of lemma zenon_L645_ *) % 0.92/1.18 assert (zenon_L646_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp9)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.18 do 0 intro. intros zenon_Hf2 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H9a zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.18 apply (zenon_L331_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ]. % 0.92/1.18 apply (zenon_L633_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ]. % 0.92/1.18 apply (zenon_L63_); trivial. % 0.92/1.18 exact (zenon_H9a zenon_H9b). % 0.92/1.18 apply (zenon_L78_); trivial. % 0.92/1.18 (* end of lemma zenon_L646_ *) % 0.92/1.18 assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H1b9 zenon_H297 zenon_H289 zenon_H28a zenon_H129 zenon_H12a zenon_H133 zenon_H9a zenon_H229 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H24d zenon_Hf6. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.18 apply (zenon_L79_); trivial. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.18 apply (zenon_L331_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 0.92/1.18 apply (zenon_L152_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 0.92/1.18 apply (zenon_L80_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21e | zenon_intro zenon_H22a ]. % 0.92/1.18 apply (zenon_L633_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_He8 | zenon_intro zenon_H9b ]. % 0.92/1.18 apply (zenon_L93_); trivial. % 0.92/1.18 exact (zenon_H9a zenon_H9b). % 0.92/1.18 apply (zenon_L78_); trivial. % 0.92/1.18 apply (zenon_L646_); trivial. % 0.92/1.18 (* end of lemma zenon_L647_ *) % 0.92/1.18 assert (zenon_L648_ : ((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_Hdf zenon_H5f zenon_H38 zenon_H162 zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e. % 0.92/1.18 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Ha. zenon_intro zenon_He1. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.18 apply (zenon_L543_); trivial. % 0.92/1.18 apply (zenon_L359_); trivial. % 0.92/1.18 (* end of lemma zenon_L648_ *) % 0.92/1.18 assert (zenon_L649_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_He5 zenon_H5f zenon_H38 zenon_H162 zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H49 zenon_H2b zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e zenon_Ha zenon_H289 zenon_H297 zenon_H28a zenon_H18d zenon_H18e zenon_H18f zenon_Hd3 zenon_Hd1 zenon_H22b. % 0.92/1.18 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hdf ]. % 0.92/1.18 apply (zenon_L596_); trivial. % 0.92/1.18 apply (zenon_L648_); trivial. % 0.92/1.18 (* end of lemma zenon_L649_ *) % 0.92/1.18 assert (zenon_L650_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_Hf5 zenon_H14a zenon_H22b zenon_Hd1 zenon_Hd3 zenon_H18f zenon_H18e zenon_H18d zenon_H28a zenon_H297 zenon_H289 zenon_Ha zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H2b zenon_H49 zenon_H14c zenon_H1aa zenon_H19f zenon_H19e zenon_He0 zenon_H162 zenon_H38 zenon_H5f zenon_He5. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.18 apply (zenon_L649_); trivial. % 0.92/1.18 apply (zenon_L361_); trivial. % 0.92/1.18 (* end of lemma zenon_L650_ *) % 0.92/1.18 assert (zenon_L651_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H196 zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_He5 zenon_H5f zenon_H38 zenon_H162 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H49 zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e zenon_H289 zenon_H297 zenon_H28a zenon_Hd3 zenon_Hd1 zenon_H22b zenon_H14a zenon_Hf5. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.18 apply (zenon_L650_); trivial. % 0.92/1.18 apply (zenon_L643_); trivial. % 0.92/1.18 (* end of lemma zenon_L651_ *) % 0.92/1.18 assert (zenon_L652_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_Hf6 zenon_H22b zenon_H108 zenon_H109 zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H43 zenon_H47 zenon_H72. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 0.92/1.18 apply (zenon_L241_); trivial. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 0.92/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 0.92/1.18 apply (zenon_L240_); trivial. % 0.92/1.18 apply (zenon_L592_); trivial. % 0.92/1.18 (* end of lemma zenon_L652_ *) % 0.92/1.18 assert (zenon_L653_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_Hf5 zenon_Hf0 zenon_Hb2 zenon_H72 zenon_H47 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H109 zenon_H108 zenon_H22b zenon_Hf6. % 0.92/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 0.92/1.18 apply (zenon_L652_); trivial. % 0.92/1.18 apply (zenon_L266_); trivial. % 0.92/1.18 (* end of lemma zenon_L653_ *) % 0.92/1.18 assert (zenon_L654_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 0.92/1.18 do 0 intro. intros zenon_H31 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H1aa zenon_H19f zenon_H19e zenon_Hf8 zenon_Hfa zenon_H162 zenon_H1b1 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H108 zenon_H109 zenon_H10a. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 0.92/1.18 apply (zenon_L331_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 0.92/1.18 apply (zenon_L603_); trivial. % 0.92/1.18 apply (zenon_L78_); trivial. % 0.92/1.18 (* end of lemma zenon_L654_ *) % 0.92/1.18 assert (zenon_L655_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H168 zenon_H106 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H10a zenon_H109 zenon_H108 zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H19 zenon_H17 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H38 zenon_H5f. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 0.92/1.18 apply (zenon_L636_); trivial. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.18 apply (zenon_L9_); trivial. % 0.92/1.18 apply (zenon_L654_); trivial. % 0.92/1.18 apply (zenon_L332_); trivial. % 0.92/1.18 (* end of lemma zenon_L655_ *) % 0.92/1.18 assert (zenon_L656_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H14e zenon_H189 zenon_H106 zenon_H24d zenon_H5a zenon_H254 zenon_H253 zenon_H252 zenon_H19 zenon_H17 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H38 zenon_H5f zenon_Hf6 zenon_H22b zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_H47 zenon_H72 zenon_Hf0 zenon_Hf5. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 0.92/1.18 apply (zenon_L653_); trivial. % 0.92/1.18 apply (zenon_L655_); trivial. % 0.92/1.18 (* end of lemma zenon_L656_ *) % 0.92/1.18 assert (zenon_L657_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H199 zenon_H19b zenon_H1bb zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H72 zenon_H47 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H22b zenon_Hf6 zenon_H5f zenon_H38 zenon_H162 zenon_H1b1 zenon_H1aa zenon_H19 zenon_H252 zenon_H253 zenon_H254 zenon_H5a zenon_H24d zenon_H106 zenon_H189 zenon_H151. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 0.92/1.18 apply (zenon_L151_); trivial. % 0.92/1.18 apply (zenon_L656_); trivial. % 0.92/1.18 apply (zenon_L246_); trivial. % 0.92/1.18 (* end of lemma zenon_L657_ *) % 0.92/1.18 assert (zenon_L658_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H19b zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H5f zenon_H141 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H32 zenon_H2f zenon_Hec zenon_Hee zenon_H6e zenon_H72 zenon_Hf5 zenon_H151. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 0.92/1.18 apply (zenon_L390_); trivial. % 0.92/1.18 apply (zenon_L579_); trivial. % 0.92/1.18 (* end of lemma zenon_L658_ *) % 0.92/1.18 assert (zenon_L659_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False). % 0.92/1.18 do 0 intro. intros zenon_H38 zenon_H22b zenon_H3c zenon_H3b zenon_H3a zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H89 zenon_H5 zenon_H127. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 0.92/1.18 apply (zenon_L250_); trivial. % 0.92/1.18 apply (zenon_L615_); trivial. % 0.92/1.18 (* end of lemma zenon_L659_ *) % 0.92/1.18 assert (zenon_L660_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 0.92/1.18 do 0 intro. intros zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H108 zenon_H10a zenon_H109 zenon_Hb zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 0.92/1.18 apply (zenon_L43_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 0.92/1.18 apply (zenon_L201_); trivial. % 0.92/1.18 apply (zenon_L46_); trivial. % 0.92/1.18 (* end of lemma zenon_L660_ *) % 0.92/1.18 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c1_1 (a8)) -> (c2_1 (a8)) -> (c3_1 (a8)) -> False). % 0.92/1.18 do 0 intro. intros zenon_H31 zenon_H162 zenon_H109 zenon_H10a zenon_H108 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H8f zenon_H90 zenon_H91. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 0.92/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 0.92/1.18 apply (zenon_L660_); trivial. % 0.92/1.18 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 0.92/1.18 apply (zenon_L152_); trivial. % 0.92/1.18 apply (zenon_L38_); trivial. % 0.92/1.18 (* end of lemma zenon_L661_ *) % 0.92/1.18 assert (zenon_L662_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.18 apply (zenon_L151_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.18 apply (zenon_L86_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.18 apply (zenon_L155_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.04/1.18 apply (zenon_L614_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.04/1.18 apply (zenon_L659_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.04/1.18 apply (zenon_L576_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.04/1.18 apply (zenon_L158_); trivial. % 1.04/1.18 apply (zenon_L17_); trivial. % 1.04/1.18 apply (zenon_L661_); trivial. % 1.04/1.18 (* end of lemma zenon_L662_ *) % 1.04/1.18 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H176 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H1b9 zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H22b zenon_Hf5. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.18 apply (zenon_L398_); trivial. % 1.04/1.18 apply (zenon_L588_); trivial. % 1.04/1.18 apply (zenon_L594_); trivial. % 1.04/1.18 (* end of lemma zenon_L663_ *) % 1.04/1.18 assert (zenon_L664_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H151 zenon_H189 zenon_H14c zenon_H22b zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_Hf0 zenon_H72 zenon_Hf5 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.18 apply (zenon_L151_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.04/1.18 apply (zenon_L157_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.18 apply (zenon_L86_); trivial. % 1.04/1.18 apply (zenon_L606_); trivial. % 1.04/1.18 (* end of lemma zenon_L664_ *) % 1.04/1.18 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H47 zenon_H1b9 zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_H176 zenon_H188 zenon_H19b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.18 apply (zenon_L662_); trivial. % 1.04/1.18 apply (zenon_L663_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.18 apply (zenon_L664_); trivial. % 1.04/1.18 apply (zenon_L663_); trivial. % 1.04/1.18 (* end of lemma zenon_L665_ *) % 1.04/1.18 assert (zenon_L666_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H20c zenon_Hf0 zenon_H47 zenon_H162 zenon_H24d zenon_H189 zenon_Hf5 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_He0 zenon_H11f zenon_H121 zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.04/1.18 apply (zenon_L408_); trivial. % 1.04/1.18 apply (zenon_L620_); trivial. % 1.04/1.18 (* end of lemma zenon_L666_ *) % 1.04/1.18 assert (zenon_L667_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H199 zenon_H19b zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H32 zenon_Hae zenon_H5f zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H2f zenon_H141 zenon_Hf6 zenon_H151. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.18 apply (zenon_L417_); trivial. % 1.04/1.18 apply (zenon_L628_); trivial. % 1.04/1.18 (* end of lemma zenon_L667_ *) % 1.04/1.18 assert (zenon_L668_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H20e zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H7 zenon_H5 zenon_Hec zenon_Hee zenon_Hc0 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H111 zenon_H151 zenon_H19b. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.18 apply (zenon_L416_); trivial. % 1.04/1.18 apply (zenon_L667_); trivial. % 1.04/1.18 (* end of lemma zenon_L668_ *) % 1.04/1.18 assert (zenon_L669_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.18 apply (zenon_L388_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.18 apply (zenon_L411_); trivial. % 1.04/1.18 apply (zenon_L623_); trivial. % 1.04/1.18 apply (zenon_L281_); trivial. % 1.04/1.18 (* end of lemma zenon_L669_ *) % 1.04/1.18 assert (zenon_L670_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H19b zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.18 apply (zenon_L669_); trivial. % 1.04/1.18 apply (zenon_L421_); trivial. % 1.04/1.18 (* end of lemma zenon_L670_ *) % 1.04/1.18 assert (zenon_L671_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H43 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H5f zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.18 apply (zenon_L79_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.04/1.18 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.18 apply (zenon_L591_); trivial. % 1.04/1.18 apply (zenon_L420_); trivial. % 1.04/1.18 (* end of lemma zenon_L671_ *) % 1.04/1.18 assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H14e zenon_H189 zenon_H14c zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H72 zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H5f zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.18 apply (zenon_L671_); trivial. % 1.04/1.18 apply (zenon_L156_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.18 apply (zenon_L671_); trivial. % 1.04/1.18 apply (zenon_L606_); trivial. % 1.04/1.18 (* end of lemma zenon_L672_ *) % 1.04/1.18 assert (zenon_L673_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H151 zenon_H189 zenon_H14c zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H1b1 zenon_H24d zenon_H38 zenon_Hf6 zenon_H72 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H5f zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.18 apply (zenon_L388_); trivial. % 1.04/1.18 apply (zenon_L672_); trivial. % 1.04/1.18 (* end of lemma zenon_L673_ *) % 1.04/1.18 assert (zenon_L674_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H24f zenon_H20e zenon_H188 zenon_H176 zenon_H14a zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H5f zenon_H162 zenon_H5 zenon_H7 zenon_H72 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H14c zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1b9 zenon_H19b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.18 apply (zenon_L670_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.18 apply (zenon_L673_); trivial. % 1.04/1.18 apply (zenon_L663_); trivial. % 1.04/1.18 (* end of lemma zenon_L674_ *) % 1.04/1.18 assert (zenon_L675_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.18 apply (zenon_L669_); trivial. % 1.04/1.18 apply (zenon_L324_); trivial. % 1.04/1.18 (* end of lemma zenon_L675_ *) % 1.04/1.18 assert (zenon_L676_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H20e zenon_H111 zenon_H2f zenon_H141 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H72 zenon_H19b. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.18 apply (zenon_L675_); trivial. % 1.04/1.18 apply (zenon_L434_); trivial. % 1.04/1.18 (* end of lemma zenon_L676_ *) % 1.04/1.18 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H26c zenon_H26d zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H162 zenon_H5 zenon_H7 zenon_H38 zenon_H24d zenon_H1b1 zenon_H14c zenon_H189 zenon_H1b9 zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151 zenon_H141 zenon_H111 zenon_H20e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.04/1.18 apply (zenon_L676_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.18 apply (zenon_L670_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.18 apply (zenon_L673_); trivial. % 1.04/1.18 apply (zenon_L246_); trivial. % 1.04/1.18 (* end of lemma zenon_L677_ *) % 1.04/1.18 assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.18 apply (zenon_L636_); trivial. % 1.04/1.18 apply (zenon_L382_); trivial. % 1.04/1.18 apply (zenon_L332_); trivial. % 1.04/1.18 (* end of lemma zenon_L678_ *) % 1.04/1.18 assert (zenon_L679_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L388_); trivial. % 1.04/1.19 apply (zenon_L678_); trivial. % 1.04/1.19 (* end of lemma zenon_L679_ *) % 1.04/1.19 assert (zenon_L680_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H25d zenon_Hec zenon_H212 zenon_H211 zenon_H210 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H22b zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H28a zenon_H297 zenon_H289 zenon_H14a zenon_H38 zenon_H5f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L374_); trivial. % 1.04/1.19 apply (zenon_L585_); trivial. % 1.04/1.19 apply (zenon_L54_); trivial. % 1.04/1.19 (* end of lemma zenon_L680_ *) % 1.04/1.19 assert (zenon_L681_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hc4 zenon_Hf6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.19 apply (zenon_L624_); trivial. % 1.04/1.19 apply (zenon_L646_); trivial. % 1.04/1.19 (* end of lemma zenon_L681_ *) % 1.04/1.19 assert (zenon_L682_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L151_); trivial. % 1.04/1.19 apply (zenon_L681_); trivial. % 1.04/1.19 (* end of lemma zenon_L682_ *) % 1.04/1.19 assert (zenon_L683_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_Hf5 zenon_H151. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.19 apply (zenon_L682_); trivial. % 1.04/1.19 apply (zenon_L324_); trivial. % 1.04/1.19 (* end of lemma zenon_L683_ *) % 1.04/1.19 assert (zenon_L684_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H26c zenon_H26d zenon_Hf0 zenon_H5f zenon_H38 zenon_H162 zenon_H1b1 zenon_H19 zenon_H5a zenon_H106 zenon_H189 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151 zenon_H141 zenon_H111 zenon_H20e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.04/1.19 apply (zenon_L676_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.19 apply (zenon_L683_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L388_); trivial. % 1.04/1.19 apply (zenon_L656_); trivial. % 1.04/1.19 apply (zenon_L246_); trivial. % 1.04/1.19 (* end of lemma zenon_L684_ *) % 1.04/1.19 assert (zenon_L685_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H5f zenon_H1bd zenon_H270 zenon_H271 zenon_H32 zenon_H85 zenon_H2f zenon_H87 zenon_H74 zenon_H76 zenon_H77 zenon_H83 zenon_H1 zenon_H5 zenon_H7. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L4_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 1.04/1.19 apply (zenon_L31_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 1.04/1.19 apply (zenon_L104_); trivial. % 1.04/1.19 apply (zenon_L472_); trivial. % 1.04/1.19 (* end of lemma zenon_L685_ *) % 1.04/1.19 assert (zenon_L686_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H87 zenon_H85 zenon_H1bd zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H287 zenon_H5f zenon_He0 zenon_H141 zenon_Hf6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.19 apply (zenon_L478_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.19 apply (zenon_L685_); trivial. % 1.04/1.19 apply (zenon_L577_); trivial. % 1.04/1.19 (* end of lemma zenon_L686_ *) % 1.04/1.19 assert (zenon_L687_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H1bd zenon_H7 zenon_H5 zenon_H287 zenon_He0 zenon_H141 zenon_H106 zenon_H87 zenon_H85 zenon_H14c zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H14a zenon_H38 zenon_H5f zenon_Hf5 zenon_H111 zenon_H166 zenon_H151. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.19 apply (zenon_L462_); trivial. % 1.04/1.19 apply (zenon_L686_); trivial. % 1.04/1.19 (* end of lemma zenon_L687_ *) % 1.04/1.19 assert (zenon_L688_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H20e zenon_H162 zenon_H1b1 zenon_H285 zenon_H11a zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H85 zenon_H87 zenon_H106 zenon_H141 zenon_He0 zenon_H287 zenon_H5 zenon_H7 zenon_H1bd zenon_H83 zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H22b zenon_H19b. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.19 apply (zenon_L687_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.19 apply (zenon_L477_); trivial. % 1.04/1.19 apply (zenon_L686_); trivial. % 1.04/1.19 (* end of lemma zenon_L688_ *) % 1.04/1.19 assert (zenon_L689_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.19 apply (zenon_L91_); trivial. % 1.04/1.19 (* end of lemma zenon_L689_ *) % 1.04/1.19 assert (zenon_L690_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H106 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H14a zenon_H38 zenon_H5f zenon_Hf5 zenon_H121 zenon_H11f zenon_He0 zenon_H11a zenon_H111 zenon_H127 zenon_H83 zenon_H5 zenon_H7 zenon_H151. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L490_); trivial. % 1.04/1.19 apply (zenon_L689_); trivial. % 1.04/1.19 apply (zenon_L264_); trivial. % 1.04/1.19 (* end of lemma zenon_L690_ *) % 1.04/1.19 assert (zenon_L691_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hf5 zenon_H138 zenon_H87 zenon_H85 zenon_H1bb zenon_H188 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H289 zenon_H28a zenon_H47 zenon_H254 zenon_H253 zenon_H252 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H178 zenon_H17a zenon_H38 zenon_H5f zenon_He0 zenon_H2f zenon_H141 zenon_Hf6. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L25_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.04/1.19 apply (zenon_L331_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ]. % 1.04/1.19 apply (zenon_L569_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ]. % 1.04/1.19 exact (zenon_H43 zenon_H44). % 1.04/1.19 exact (zenon_H45 zenon_H46). % 1.04/1.19 apply (zenon_L502_); trivial. % 1.04/1.19 apply (zenon_L134_); trivial. % 1.04/1.19 apply (zenon_L180_); trivial. % 1.04/1.19 apply (zenon_L100_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.04/1.19 apply (zenon_L331_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H39 | zenon_intro zenon_H1bc ]. % 1.04/1.19 apply (zenon_L569_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H16b | zenon_intro zenon_H73 ]. % 1.04/1.19 apply (zenon_L126_); trivial. % 1.04/1.19 apply (zenon_L104_); trivial. % 1.04/1.19 apply (zenon_L502_); trivial. % 1.04/1.19 apply (zenon_L105_); trivial. % 1.04/1.19 apply (zenon_L222_); trivial. % 1.04/1.19 (* end of lemma zenon_L691_ *) % 1.04/1.19 assert (zenon_L692_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c1_1 (a5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_H229 zenon_H297 zenon_H111 zenon_Hf5 zenon_H138 zenon_H87 zenon_H85 zenon_H1bb zenon_H188 zenon_H5e zenon_H5a zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H289 zenon_H28a zenon_H47 zenon_H254 zenon_H253 zenon_H252 zenon_H14a zenon_H178 zenon_H17a zenon_H38 zenon_H5f zenon_He0 zenon_H2f zenon_H141 zenon_Hf6 zenon_H6e zenon_H72 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H14c zenon_H106. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.19 apply (zenon_L691_); trivial. % 1.04/1.19 apply (zenon_L459_); trivial. % 1.04/1.19 apply (zenon_L634_); trivial. % 1.04/1.19 (* end of lemma zenon_L692_ *) % 1.04/1.19 assert (zenon_L693_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_Hf5 zenon_H138 zenon_H87 zenon_H85 zenon_H1bb zenon_H188 zenon_H5e zenon_H5a zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_H289 zenon_H28a zenon_H47 zenon_H254 zenon_H253 zenon_H252 zenon_H14a zenon_H178 zenon_H17a zenon_H38 zenon_H5f zenon_He0 zenon_H2f zenon_H141 zenon_Hf6 zenon_H72 zenon_Ha1 zenon_H1b9 zenon_H285 zenon_H1b1 zenon_H8d zenon_H32 zenon_H159 zenon_H15a zenon_H15b zenon_Hc0 zenon_Hc4 zenon_H166 zenon_H14c zenon_H106. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.19 apply (zenon_L691_); trivial. % 1.04/1.19 apply (zenon_L520_); trivial. % 1.04/1.19 apply (zenon_L125_); trivial. % 1.04/1.19 (* end of lemma zenon_L693_ *) % 1.04/1.19 assert (zenon_L694_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H60 zenon_H38 zenon_H121 zenon_H11f zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.19 apply (zenon_L584_); trivial. % 1.04/1.19 apply (zenon_L337_); trivial. % 1.04/1.19 (* end of lemma zenon_L694_ *) % 1.04/1.19 assert (zenon_L695_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H14e zenon_H106 zenon_Hf6 zenon_H5f zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_He0 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H111 zenon_H14c zenon_H1b1 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H11f zenon_H121 zenon_H38 zenon_Hf5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.19 apply (zenon_L637_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L636_); trivial. % 1.04/1.19 apply (zenon_L694_); trivial. % 1.04/1.19 apply (zenon_L332_); trivial. % 1.04/1.19 (* end of lemma zenon_L695_ *) % 1.04/1.19 assert (zenon_L696_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_Hd3 zenon_Hd1 zenon_H22b zenon_H72 zenon_H5f zenon_H43 zenon_H47 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_H24d zenon_H27c zenon_H271 zenon_H270 zenon_H176 zenon_Hf8 zenon_Hfa zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_H254 zenon_H253 zenon_H252 zenon_H285 zenon_H38 zenon_Ha1 zenon_H18d zenon_H18e zenon_H18f zenon_H1b9 zenon_H11f zenon_H121 zenon_H188 zenon_Hc4. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.04/1.19 apply (zenon_L529_); trivial. % 1.04/1.19 apply (zenon_L341_); trivial. % 1.04/1.19 apply (zenon_L50_); trivial. % 1.04/1.19 apply (zenon_L219_); trivial. % 1.04/1.19 apply (zenon_L597_); trivial. % 1.04/1.19 (* end of lemma zenon_L696_ *) % 1.04/1.19 assert (zenon_L697_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H9a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.19 apply (zenon_L86_); trivial. % 1.04/1.19 apply (zenon_L646_); trivial. % 1.04/1.19 (* end of lemma zenon_L697_ *) % 1.04/1.19 assert (zenon_L698_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H24d zenon_H229 zenon_H28a zenon_H289 zenon_H297 zenon_H141 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H72 zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L491_); trivial. % 1.04/1.19 apply (zenon_L634_); trivial. % 1.04/1.19 (* end of lemma zenon_L698_ *) % 1.04/1.19 assert (zenon_L699_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H9a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L151_); trivial. % 1.04/1.19 apply (zenon_L697_); trivial. % 1.04/1.19 (* end of lemma zenon_L699_ *) % 1.04/1.19 assert (zenon_L700_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H17 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L496_); trivial. % 1.04/1.19 apply (zenon_L681_); trivial. % 1.04/1.19 (* end of lemma zenon_L700_ *) % 1.04/1.19 assert (zenon_L701_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_H141 zenon_H111 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L496_); trivial. % 1.04/1.19 apply (zenon_L414_); trivial. % 1.04/1.19 (* end of lemma zenon_L701_ *) % 1.04/1.19 assert (zenon_L702_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H19b zenon_H141 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H11a zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H151. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.19 apply (zenon_L700_); trivial. % 1.04/1.19 apply (zenon_L701_); trivial. % 1.04/1.19 (* end of lemma zenon_L702_ *) % 1.04/1.19 assert (zenon_L703_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L151_); trivial. % 1.04/1.19 apply (zenon_L678_); trivial. % 1.04/1.19 (* end of lemma zenon_L703_ *) % 1.04/1.19 assert (zenon_L704_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H188 zenon_Hc0 zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H285 zenon_H1 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L528_); trivial. % 1.04/1.19 apply (zenon_L382_); trivial. % 1.04/1.19 apply (zenon_L313_); trivial. % 1.04/1.19 (* end of lemma zenon_L704_ *) % 1.04/1.19 assert (zenon_L705_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H285 zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H176 zenon_H270 zenon_H271 zenon_H27c zenon_H24d zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H236 zenon_H234 zenon_H212 zenon_H211 zenon_H210 zenon_H25f zenon_H261 zenon_H5f zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H22b zenon_H72. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.19 apply (zenon_L704_); trivial. % 1.04/1.19 apply (zenon_L577_); trivial. % 1.04/1.19 apply (zenon_L54_); trivial. % 1.04/1.19 (* end of lemma zenon_L705_ *) % 1.04/1.19 assert (zenon_L706_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H47 zenon_H5f zenon_H38 zenon_H162 zenon_H1b1 zenon_H19 zenon_H5a zenon_H106 zenon_H189 zenon_H151 zenon_Hf5 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H72 zenon_H19b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.19 apply (zenon_L683_); trivial. % 1.04/1.19 apply (zenon_L657_); trivial. % 1.04/1.19 (* end of lemma zenon_L706_ *) % 1.04/1.19 assert (zenon_L707_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H199 zenon_H19b zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H87 zenon_H85 zenon_H1bd zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H32 zenon_H271 zenon_H270 zenon_H287 zenon_H5f zenon_He0 zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H2f zenon_H141 zenon_Hf6 zenon_H151. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.19 apply (zenon_L417_); trivial. % 1.04/1.19 apply (zenon_L686_); trivial. % 1.04/1.19 (* end of lemma zenon_L707_ *) % 1.04/1.19 assert (zenon_L708_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H20e zenon_H151 zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H141 zenon_He0 zenon_H5f zenon_H287 zenon_H5 zenon_H7 zenon_H47 zenon_H1bd zenon_H85 zenon_H87 zenon_H83 zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H22b zenon_Hf5 zenon_H19b. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.19 apply (zenon_L553_); trivial. % 1.04/1.19 apply (zenon_L686_); trivial. % 1.04/1.19 apply (zenon_L707_); trivial. % 1.04/1.19 (* end of lemma zenon_L708_ *) % 1.04/1.19 assert (zenon_L709_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H20e zenon_H19b zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H87 zenon_H85 zenon_H1bd zenon_H7 zenon_H5 zenon_H287 zenon_H5f zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H141 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.19 apply (zenon_L497_); trivial. % 1.04/1.19 apply (zenon_L707_); trivial. % 1.04/1.19 (* end of lemma zenon_L709_ *) % 1.04/1.19 assert (zenon_L710_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hc1 zenon_H5f zenon_H38 zenon_H1b1 zenon_H289 zenon_H297 zenon_H28a zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H22b zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H11f zenon_H121. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L165_); trivial. % 1.04/1.19 apply (zenon_L639_); trivial. % 1.04/1.19 (* end of lemma zenon_L710_ *) % 1.04/1.19 assert (zenon_L711_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H9a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_L388_); trivial. % 1.04/1.19 apply (zenon_L697_); trivial. % 1.04/1.19 (* end of lemma zenon_L711_ *) % 1.04/1.19 assert (zenon_L712_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H168 zenon_H106 zenon_He5 zenon_H101 zenon_Hec zenon_Hd1 zenon_Hd3 zenon_Hf6 zenon_H6e zenon_H5f zenon_H38 zenon_H32 zenon_H2f zenon_H2d zenon_H33 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H5a zenon_H5e zenon_H47 zenon_H72 zenon_H83 zenon_H5 zenon_H85 zenon_H87 zenon_Hf5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.04/1.19 apply (zenon_L77_); trivial. % 1.04/1.19 (* end of lemma zenon_L712_ *) % 1.04/1.19 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H18a zenon_H151 zenon_Ha1 zenon_H9d zenon_H9a zenon_H127 zenon_H111 zenon_Hf5 zenon_H87 zenon_H83 zenon_H49 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H6e zenon_H14c zenon_H14a zenon_H38 zenon_H106. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.19 apply (zenon_L109_); trivial. % 1.04/1.19 (* end of lemma zenon_L713_ *) % 1.04/1.19 assert (zenon_L714_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H1e8 zenon_Ha zenon_H29e zenon_H29f zenon_H2a0. % 1.04/1.19 generalize (zenon_H1e8 (a4)). zenon_intro zenon_H2a1. % 1.04/1.19 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a2 ]. % 1.04/1.19 exact (zenon_H9 zenon_Ha). % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a3 ]. % 1.04/1.19 exact (zenon_H29e zenon_H2a4). % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2a5 ]. % 1.04/1.19 exact (zenon_H2a6 zenon_H29f). % 1.04/1.19 exact (zenon_H2a5 zenon_H2a0). % 1.04/1.19 (* end of lemma zenon_L714_ *) % 1.04/1.19 assert (zenon_L715_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H31 zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H2a0 zenon_H29f zenon_H29e. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ]. % 1.04/1.19 apply (zenon_L115_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ]. % 1.04/1.19 apply (zenon_L714_); trivial. % 1.04/1.19 apply (zenon_L46_); trivial. % 1.04/1.19 (* end of lemma zenon_L715_ *) % 1.04/1.19 assert (zenon_L716_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H60 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.19 apply (zenon_L9_); trivial. % 1.04/1.19 apply (zenon_L715_); trivial. % 1.04/1.19 (* end of lemma zenon_L716_ *) % 1.04/1.19 assert (zenon_L717_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.19 apply (zenon_L25_); trivial. % 1.04/1.19 apply (zenon_L716_); trivial. % 1.04/1.19 (* end of lemma zenon_L717_ *) % 1.04/1.19 assert (zenon_L718_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H111 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hf6 zenon_H162 zenon_H32 zenon_H2f zenon_H141 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_H166 zenon_H14c zenon_H14a zenon_Hf5 zenon_H106. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.19 apply (zenon_L717_); trivial. % 1.04/1.19 apply (zenon_L476_); trivial. % 1.04/1.19 apply (zenon_L125_); trivial. % 1.04/1.19 (* end of lemma zenon_L718_ *) % 1.04/1.19 assert (zenon_L719_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H38 zenon_H14a zenon_H2b zenon_H14c zenon_H166 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_Hf6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.19 apply (zenon_L627_); trivial. % 1.04/1.19 apply (zenon_L120_); trivial. % 1.04/1.19 (* end of lemma zenon_L719_ *) % 1.04/1.19 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_Hf5 zenon_H87 zenon_H83 zenon_H49 zenon_H5a zenon_H5e zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H138 zenon_H85 zenon_Hec zenon_Hee zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_He0 zenon_H141 zenon_Hf6 zenon_H15b zenon_H15a zenon_H159 zenon_H166 zenon_H14c zenon_H14a zenon_H38 zenon_H106. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.20 apply (zenon_L102_); trivial. % 1.04/1.20 apply (zenon_L719_); trivial. % 1.04/1.20 apply (zenon_L125_); trivial. % 1.04/1.20 (* end of lemma zenon_L720_ *) % 1.04/1.20 assert (zenon_L721_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H31 zenon_H1ec zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_H64 zenon_H65 zenon_H66 zenon_He0 zenon_H2a0 zenon_H29f zenon_H29e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ]. % 1.04/1.20 apply (zenon_L99_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ]. % 1.04/1.20 apply (zenon_L714_); trivial. % 1.04/1.20 apply (zenon_L46_); trivial. % 1.04/1.20 (* end of lemma zenon_L721_ *) % 1.04/1.20 assert (zenon_L722_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H12a zenon_He0 zenon_H43 zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_H174 zenon_H176. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.20 apply (zenon_L176_); trivial. % 1.04/1.20 apply (zenon_L721_); trivial. % 1.04/1.20 (* end of lemma zenon_L722_ *) % 1.04/1.20 assert (zenon_L723_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H2b zenon_H1b9 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H12a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.20 apply (zenon_L188_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.04/1.20 apply (zenon_L722_); trivial. % 1.04/1.20 apply (zenon_L313_); trivial. % 1.04/1.20 (* end of lemma zenon_L723_ *) % 1.04/1.20 assert (zenon_L724_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hf5 zenon_H49 zenon_H1bb zenon_H1bd zenon_H11f zenon_H121 zenon_H5e zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H12a zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H1b9 zenon_H2b zenon_Hc0 zenon_H188 zenon_Hf6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L723_); trivial. % 1.04/1.20 apply (zenon_L194_); trivial. % 1.04/1.20 (* end of lemma zenon_L724_ *) % 1.04/1.20 assert (zenon_L725_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H129 zenon_H133 zenon_H43 zenon_He0 zenon_H12a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.20 apply (zenon_L79_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.04/1.20 apply (zenon_L722_); trivial. % 1.04/1.20 apply (zenon_L207_); trivial. % 1.04/1.20 (* end of lemma zenon_L725_ *) % 1.04/1.20 assert (zenon_L726_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H18a zenon_H151 zenon_H111 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_H176 zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H5e zenon_H121 zenon_H11f zenon_H1bd zenon_H1bb zenon_H49 zenon_Hf5. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_L724_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L725_); trivial. % 1.04/1.20 apply (zenon_L215_); trivial. % 1.04/1.20 (* end of lemma zenon_L726_ *) % 1.04/1.20 assert (zenon_L727_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp21)) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H1 zenon_H5 zenon_H7. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.20 apply (zenon_L4_); trivial. % 1.04/1.20 apply (zenon_L716_); trivial. % 1.04/1.20 (* end of lemma zenon_L727_ *) % 1.04/1.20 assert (zenon_L728_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_Ha zenon_H89 zenon_H5 zenon_H127. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.20 apply (zenon_L250_); trivial. % 1.04/1.20 apply (zenon_L715_); trivial. % 1.04/1.20 (* end of lemma zenon_L728_ *) % 1.04/1.20 assert (zenon_L729_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp6)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H9c zenon_H24d zenon_H11f zenon_H11a zenon_H17 zenon_H8b zenon_H1bb zenon_H3c zenon_H3b zenon_H3a zenon_H159 zenon_H15b zenon_H15a zenon_H74 zenon_H76 zenon_H77 zenon_H121 zenon_H19e zenon_H19f zenon_H1aa zenon_Hf8 zenon_Hfa zenon_H162 zenon_H108 zenon_H109 zenon_H10a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.04/1.20 apply (zenon_L488_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.04/1.20 apply (zenon_L317_); trivial. % 1.04/1.20 apply (zenon_L78_); trivial. % 1.04/1.20 (* end of lemma zenon_L729_ *) % 1.04/1.20 assert (zenon_L730_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hc1 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H11f zenon_H121. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.20 apply (zenon_L165_); trivial. % 1.04/1.20 apply (zenon_L716_); trivial. % 1.04/1.20 (* end of lemma zenon_L730_ *) % 1.04/1.20 assert (zenon_L731_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H5a zenon_H19 zenon_H24d zenon_He5 zenon_Hd1 zenon_Hd3 zenon_H106 zenon_H189 zenon_H151 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H14c zenon_H1b1 zenon_H9d zenon_H38 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H1bb zenon_H1bd zenon_H5e zenon_H83 zenon_H72 zenon_H7 zenon_H47 zenon_H162 zenon_H5f zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H1b9 zenon_H188 zenon_H19b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.20 apply (zenon_L482_); trivial. % 1.04/1.20 apply (zenon_L726_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_L151_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.04/1.20 apply (zenon_L157_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L86_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.20 apply (zenon_L727_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.04/1.20 apply (zenon_L728_); trivial. % 1.04/1.20 apply (zenon_L729_); trivial. % 1.04/1.20 apply (zenon_L730_); trivial. % 1.04/1.20 apply (zenon_L489_); trivial. % 1.04/1.20 apply (zenon_L726_); trivial. % 1.04/1.20 (* end of lemma zenon_L731_ *) % 1.04/1.20 assert (zenon_L732_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H199 zenon_H19b zenon_H1bb zenon_H106 zenon_Hf5 zenon_H14a zenon_H14c zenon_H6e zenon_H72 zenon_H47 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H111 zenon_H83 zenon_H5 zenon_H7 zenon_H151. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.20 apply (zenon_L717_); trivial. % 1.04/1.20 apply (zenon_L245_); trivial. % 1.04/1.20 apply (zenon_L407_); trivial. % 1.04/1.20 apply (zenon_L246_); trivial. % 1.04/1.20 (* end of lemma zenon_L732_ *) % 1.04/1.20 assert (zenon_L733_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H199 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.20 apply (zenon_L254_); trivial. % 1.04/1.20 apply (zenon_L715_); trivial. % 1.04/1.20 (* end of lemma zenon_L733_ *) % 1.04/1.20 assert (zenon_L734_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H14c zenon_H1b1 zenon_H9d zenon_H38 zenon_H205 zenon_H204 zenon_H203 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H5f zenon_H83 zenon_H7 zenon_H1bb zenon_H72 zenon_H19b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.20 apply (zenon_L265_); trivial. % 1.04/1.20 apply (zenon_L733_); trivial. % 1.04/1.20 (* end of lemma zenon_L734_ *) % 1.04/1.20 assert (zenon_L735_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H210 zenon_H211 zenon_H212 zenon_Hec zenon_H25d zenon_Ha1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.20 apply (zenon_L374_); trivial. % 1.04/1.20 apply (zenon_L137_); trivial. % 1.04/1.20 (* end of lemma zenon_L735_ *) % 1.04/1.20 assert (zenon_L736_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c3_1 (a26)) -> (~(c1_1 (a26))) -> (~(c0_1 (a26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H188 zenon_H5e zenon_H8d zenon_H8b zenon_H49 zenon_H210 zenon_H211 zenon_H212 zenon_H25d zenon_Ha1 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H101 zenon_H176 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H14a zenon_H2b zenon_H178 zenon_H17a zenon_H38 zenon_H5f. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.04/1.20 apply (zenon_L135_); trivial. % 1.04/1.20 apply (zenon_L735_); trivial. % 1.04/1.20 (* end of lemma zenon_L736_ *) % 1.04/1.20 assert (zenon_L737_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hc1 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H2f zenon_H166. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.04/1.20 apply (zenon_L229_); trivial. % 1.04/1.20 apply (zenon_L715_); trivial. % 1.04/1.20 (* end of lemma zenon_L737_ *) % 1.04/1.20 assert (zenon_L738_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H168 zenon_Hc4 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H2f zenon_H166 zenon_H5f zenon_H38 zenon_H17a zenon_H178 zenon_H2b zenon_H14a zenon_H176 zenon_H101 zenon_H129 zenon_H12a zenon_H133 zenon_Hec zenon_H16e zenon_Ha1 zenon_H25d zenon_H212 zenon_H211 zenon_H210 zenon_H49 zenon_H8d zenon_H5e zenon_H188. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.20 apply (zenon_L736_); trivial. % 1.04/1.20 apply (zenon_L737_); trivial. % 1.04/1.20 (* end of lemma zenon_L738_ *) % 1.04/1.20 assert (zenon_L739_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_H111 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hf6 zenon_H162 zenon_H32 zenon_H2f zenon_H141 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_H166 zenon_H14c zenon_H14a zenon_Hf5 zenon_H106 zenon_H189 zenon_Hc4 zenon_H17a zenon_H176 zenon_H101 zenon_H16e zenon_Ha1 zenon_H25d zenon_H212 zenon_H211 zenon_H210 zenon_H8d zenon_H188 zenon_Hae zenon_Hee zenon_Hec zenon_H85 zenon_H138 zenon_Hf0 zenon_He0 zenon_H6e zenon_H19b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.20 apply (zenon_L718_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L627_); trivial. % 1.04/1.20 apply (zenon_L68_); trivial. % 1.04/1.20 apply (zenon_L738_); trivial. % 1.04/1.20 apply (zenon_L143_); trivial. % 1.04/1.20 apply (zenon_L147_); trivial. % 1.04/1.20 (* end of lemma zenon_L739_ *) % 1.04/1.20 assert (zenon_L740_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H108 zenon_H109 zenon_H10a zenon_He0 zenon_H5a zenon_H57 zenon_H22b zenon_H19 zenon_H17 zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.20 apply (zenon_L188_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.20 apply (zenon_L727_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.20 apply (zenon_L280_); trivial. % 1.04/1.20 apply (zenon_L716_); trivial. % 1.04/1.20 (* end of lemma zenon_L740_ *) % 1.04/1.20 assert (zenon_L741_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha1 zenon_H261 zenon_H25f zenon_H2a0 zenon_H29f zenon_H29e zenon_H22b zenon_H3a zenon_H3b zenon_H3c zenon_H74 zenon_H76 zenon_H77 zenon_H1bb zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b9 zenon_H2d zenon_H238 zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.04/1.20 apply (zenon_L37_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ]. % 1.04/1.20 apply (zenon_L304_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ]. % 1.04/1.20 apply (zenon_L714_); trivial. % 1.04/1.20 exact (zenon_H25f zenon_H260). % 1.04/1.20 (* end of lemma zenon_L741_ *) % 1.04/1.20 assert (zenon_L742_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hf2 zenon_Hc4 zenon_Hc0 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H261 zenon_H25f zenon_H2a0 zenon_H29f zenon_H29e zenon_H22b zenon_H1bb zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b9 zenon_H2d zenon_H238 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H72. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.20 apply (zenon_L155_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.20 apply (zenon_L741_); trivial. % 1.04/1.20 apply (zenon_L154_); trivial. % 1.04/1.20 apply (zenon_L54_); trivial. % 1.04/1.20 (* end of lemma zenon_L742_ *) % 1.04/1.20 assert (zenon_L743_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H188 zenon_H176 zenon_H8d zenon_H25f zenon_H261 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_H1bb zenon_H24b zenon_H24d zenon_H14c zenon_H2d zenon_H238 zenon_H189 zenon_H151 zenon_H106 zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He5 zenon_Hf6 zenon_H5a zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H19 zenon_Hae zenon_He0 zenon_H5f zenon_H162 zenon_H47 zenon_H5 zenon_H7 zenon_H72 zenon_Hf5 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H5e zenon_H49 zenon_H85 zenon_H138 zenon_H19b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.20 apply (zenon_L289_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_L151_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L740_); trivial. % 1.04/1.20 apply (zenon_L156_); trivial. % 1.04/1.20 apply (zenon_L297_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L740_); trivial. % 1.04/1.20 apply (zenon_L308_); trivial. % 1.04/1.20 apply (zenon_L309_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L723_); trivial. % 1.04/1.20 apply (zenon_L742_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L725_); trivial. % 1.04/1.20 apply (zenon_L156_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L725_); trivial. % 1.04/1.20 apply (zenon_L319_); trivial. % 1.04/1.20 (* end of lemma zenon_L743_ *) % 1.04/1.20 assert (zenon_L744_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.20 apply (zenon_L325_); trivial. % 1.04/1.20 apply (zenon_L733_); trivial. % 1.04/1.20 (* end of lemma zenon_L744_ *) % 1.04/1.20 assert (zenon_L745_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H26c zenon_H26d zenon_He0 zenon_H22b zenon_H9d zenon_H1b1 zenon_H1b9 zenon_Hae zenon_Hc0 zenon_H11a zenon_Hc4 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H6e zenon_Hf6 zenon_H151 zenon_H111 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_H141 zenon_H20c zenon_H14c zenon_H14a zenon_H106 zenon_H1bb zenon_H19b zenon_H20e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L610_); trivial. % 1.04/1.20 apply (zenon_L281_); trivial. % 1.04/1.20 apply (zenon_L732_); trivial. % 1.04/1.20 apply (zenon_L744_); trivial. % 1.04/1.20 (* end of lemma zenon_L745_ *) % 1.04/1.20 assert (zenon_L746_ : ((ndr1_0)/\((~(c0_1 (a9)))/\((~(c1_1 (a9)))/\(~(c2_1 (a9)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(hskp0)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H2a7 zenon_H261 zenon_H2a0 zenon_H29f zenon_H29e zenon_H25f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H23a | zenon_intro zenon_H262 ]. % 1.04/1.20 apply (zenon_L331_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H260 ]. % 1.04/1.20 apply (zenon_L714_); trivial. % 1.04/1.20 exact (zenon_H25f zenon_H260). % 1.04/1.20 (* end of lemma zenon_L746_ *) % 1.04/1.20 assert (zenon_L747_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_Ha1 zenon_H9d zenon_H9a zenon_H83 zenon_H127 zenon_H2f zenon_H32 zenon_Hae zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_L388_); trivial. % 1.04/1.20 apply (zenon_L689_); trivial. % 1.04/1.20 (* end of lemma zenon_L747_ *) % 1.04/1.20 assert (zenon_L748_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hc4 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H2f zenon_H166 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.20 apply (zenon_L387_); trivial. % 1.04/1.20 apply (zenon_L737_); trivial. % 1.04/1.20 (* end of lemma zenon_L748_ *) % 1.04/1.20 assert (zenon_L749_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H176 zenon_H129 zenon_H133 zenon_He0 zenon_H12a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H43 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.20 apply (zenon_L188_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.04/1.20 apply (zenon_L722_); trivial. % 1.04/1.20 apply (zenon_L556_); trivial. % 1.04/1.20 (* end of lemma zenon_L749_ *) % 1.04/1.20 assert (zenon_L750_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H121 zenon_H11f zenon_H1bd zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H12a zenon_He0 zenon_H133 zenon_H129 zenon_H176 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_Hf6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L749_); trivial. % 1.04/1.20 apply (zenon_L215_); trivial. % 1.04/1.20 (* end of lemma zenon_L750_ *) % 1.04/1.20 assert (zenon_L751_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H18a zenon_H151 zenon_H263 zenon_H264 zenon_H265 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_H176 zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H5e zenon_H121 zenon_H11f zenon_H1bd zenon_H1bb zenon_H49 zenon_Hf5. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_L724_); trivial. % 1.04/1.20 apply (zenon_L750_); trivial. % 1.04/1.20 (* end of lemma zenon_L751_ *) % 1.04/1.20 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H19 zenon_H5a zenon_H24d zenon_H106 zenon_H151 zenon_Hf5 zenon_Hae zenon_H38 zenon_H9d zenon_H1b1 zenon_H14c zenon_H5 zenon_H127 zenon_Ha1 zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H1bb zenon_H1bd zenon_H5e zenon_H83 zenon_H72 zenon_H7 zenon_H47 zenon_H162 zenon_H5f zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H1b9 zenon_H188 zenon_H19b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.20 apply (zenon_L395_); trivial. % 1.04/1.20 apply (zenon_L751_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_L151_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.20 apply (zenon_L387_); trivial. % 1.04/1.20 apply (zenon_L730_); trivial. % 1.04/1.20 apply (zenon_L403_); trivial. % 1.04/1.20 apply (zenon_L751_); trivial. % 1.04/1.20 (* end of lemma zenon_L752_ *) % 1.04/1.20 assert (zenon_L753_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H22b zenon_H43 zenon_He0 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H7 zenon_H5 zenon_H19 zenon_H17 zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.20 apply (zenon_L79_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.20 apply (zenon_L727_); trivial. % 1.04/1.20 apply (zenon_L420_); trivial. % 1.04/1.20 (* end of lemma zenon_L753_ *) % 1.04/1.20 assert (zenon_L754_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H210 zenon_H211 zenon_H212 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_H176 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_Hf6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L749_); trivial. % 1.04/1.20 apply (zenon_L425_); trivial. % 1.04/1.20 (* end of lemma zenon_L754_ *) % 1.04/1.20 assert (zenon_L755_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H24f zenon_H20e zenon_H176 zenon_H188 zenon_Hf0 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H111 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H238 zenon_H2d zenon_H14c zenon_H1bb zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H5f zenon_Hae zenon_H19 zenon_H1b9 zenon_H1b1 zenon_H9d zenon_H22b zenon_H38 zenon_H5 zenon_H7 zenon_H72 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H19b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.04/1.20 apply (zenon_L422_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_L388_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L753_); trivial. % 1.04/1.20 apply (zenon_L156_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_L753_); trivial. % 1.04/1.20 apply (zenon_L319_); trivial. % 1.04/1.20 apply (zenon_L754_); trivial. % 1.04/1.20 (* end of lemma zenon_L755_ *) % 1.04/1.20 assert (zenon_L756_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H9c zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H159 zenon_H15a zenon_H15b zenon_H141. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 1.04/1.20 apply (zenon_L6_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 1.04/1.20 apply (zenon_L116_); trivial. % 1.04/1.20 apply (zenon_L38_); trivial. % 1.04/1.20 (* end of lemma zenon_L756_ *) % 1.04/1.20 assert (zenon_L757_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H60 zenon_Ha1 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H141 zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H32. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.04/1.20 apply (zenon_L453_); trivial. % 1.04/1.20 apply (zenon_L756_); trivial. % 1.04/1.20 (* end of lemma zenon_L757_ *) % 1.04/1.20 assert (zenon_L758_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H2b zenon_H14c zenon_Hc4 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H166 zenon_H5f zenon_Ha1 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_Hf6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.04/1.20 apply (zenon_L4_); trivial. % 1.04/1.20 apply (zenon_L757_); trivial. % 1.04/1.20 apply (zenon_L50_); trivial. % 1.04/1.20 apply (zenon_L737_); trivial. % 1.04/1.20 apply (zenon_L124_); trivial. % 1.04/1.20 apply (zenon_L120_); trivial. % 1.04/1.20 (* end of lemma zenon_L758_ *) % 1.04/1.20 assert (zenon_L759_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H151 zenon_H111 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hf6 zenon_H72 zenon_H47 zenon_H7 zenon_H5 zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H141 zenon_H162 zenon_Ha1 zenon_H166 zenon_Hc4 zenon_H14c zenon_H14a zenon_Hf5 zenon_H106. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.04/1.20 apply (zenon_L717_); trivial. % 1.04/1.20 apply (zenon_L758_); trivial. % 1.04/1.20 apply (zenon_L125_); trivial. % 1.04/1.20 (* end of lemma zenon_L759_ *) % 1.04/1.20 assert (zenon_L760_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H199 zenon_H19b zenon_H87 zenon_H85 zenon_H83 zenon_H287 zenon_He0 zenon_H106 zenon_Hf5 zenon_H14a zenon_H14c zenon_Hc4 zenon_H166 zenon_Ha1 zenon_H162 zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_Hf6 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H111 zenon_H151. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L759_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.21 apply (zenon_L479_); trivial. % 1.07/1.21 apply (zenon_L758_); trivial. % 1.07/1.21 apply (zenon_L125_); trivial. % 1.07/1.21 (* end of lemma zenon_L760_ *) % 1.07/1.21 assert (zenon_L761_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H20e zenon_H162 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H85 zenon_H87 zenon_H106 zenon_H141 zenon_He0 zenon_H287 zenon_H5 zenon_H7 zenon_H83 zenon_H127 zenon_H19b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L462_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.21 apply (zenon_L479_); trivial. % 1.07/1.21 apply (zenon_L459_); trivial. % 1.07/1.21 apply (zenon_L108_); trivial. % 1.07/1.21 apply (zenon_L760_); trivial. % 1.07/1.21 (* end of lemma zenon_L761_ *) % 1.07/1.21 assert (zenon_L762_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H20e zenon_H20c zenon_H141 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_H11a zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H5f zenon_H38 zenon_H14a zenon_H19 zenon_H49 zenon_H5a zenon_H5e zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1bb zenon_H19b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_L690_); trivial. % 1.07/1.21 apply (zenon_L732_); trivial. % 1.07/1.21 (* end of lemma zenon_L762_ *) % 1.07/1.21 assert (zenon_L763_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H20e zenon_H19b zenon_H87 zenon_H85 zenon_H83 zenon_H287 zenon_He0 zenon_H106 zenon_H14a zenon_H14c zenon_H162 zenon_H141 zenon_H5 zenon_H7 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H5f zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_L497_); trivial. % 1.07/1.21 apply (zenon_L760_); trivial. % 1.07/1.21 (* end of lemma zenon_L763_ *) % 1.07/1.21 assert (zenon_L764_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H188 zenon_Hc0 zenon_H1b9 zenon_H176 zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H162 zenon_H47 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H7 zenon_H72 zenon_Ha1 zenon_H83 zenon_H127 zenon_H289 zenon_H297 zenon_H28a zenon_H1bb zenon_H22b zenon_Hf5. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.21 apply (zenon_L723_); trivial. % 1.07/1.21 apply (zenon_L588_); trivial. % 1.07/1.21 apply (zenon_L594_); trivial. % 1.07/1.21 (* end of lemma zenon_L764_ *) % 1.07/1.21 assert (zenon_L765_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H199 zenon_H19b zenon_H188 zenon_H1b9 zenon_H176 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H22b zenon_He0 zenon_H28a zenon_H297 zenon_H289 zenon_Hf6 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H14c zenon_H189 zenon_H151. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L607_); trivial. % 1.07/1.21 apply (zenon_L764_); trivial. % 1.07/1.21 (* end of lemma zenon_L765_ *) % 1.07/1.21 assert (zenon_L766_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H47 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H1b9 zenon_H188 zenon_H19b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L662_); trivial. % 1.07/1.21 apply (zenon_L764_); trivial. % 1.07/1.21 apply (zenon_L765_); trivial. % 1.07/1.21 (* end of lemma zenon_L766_ *) % 1.07/1.21 assert (zenon_L767_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H19b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_L618_); trivial. % 1.07/1.21 apply (zenon_L733_); trivial. % 1.07/1.21 (* end of lemma zenon_L767_ *) % 1.07/1.21 assert (zenon_L768_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.21 apply (zenon_L151_); trivial. % 1.07/1.21 apply (zenon_L625_); trivial. % 1.07/1.21 (* end of lemma zenon_L768_ *) % 1.07/1.21 assert (zenon_L769_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H1b1 zenon_H14c zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H1b9 zenon_H188 zenon_H19b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L768_); trivial. % 1.07/1.21 apply (zenon_L764_); trivial. % 1.07/1.21 apply (zenon_L765_); trivial. % 1.07/1.21 (* end of lemma zenon_L769_ *) % 1.07/1.21 assert (zenon_L770_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H18a zenon_Hf5 zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H127 zenon_H83 zenon_Ha1 zenon_H72 zenon_H7 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H47 zenon_H162 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_H176 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_Hf6. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.21 apply (zenon_L749_); trivial. % 1.07/1.21 apply (zenon_L588_); trivial. % 1.07/1.21 (* end of lemma zenon_L770_ *) % 1.07/1.21 assert (zenon_L771_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H176 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H47 zenon_H1bb zenon_H19b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L662_); trivial. % 1.07/1.21 apply (zenon_L770_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L664_); trivial. % 1.07/1.21 apply (zenon_L770_); trivial. % 1.07/1.21 (* end of lemma zenon_L771_ *) % 1.07/1.21 assert (zenon_L772_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_Hf5 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_He0 zenon_H11f zenon_H121 zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.07/1.21 apply (zenon_L408_); trivial. % 1.07/1.21 apply (zenon_L767_); trivial. % 1.07/1.21 (* end of lemma zenon_L772_ *) % 1.07/1.21 assert (zenon_L773_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H176 zenon_H188 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H5f zenon_H162 zenon_H5 zenon_H7 zenon_H72 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H14c zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1b9 zenon_H19b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_L670_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L673_); trivial. % 1.07/1.21 apply (zenon_L754_); trivial. % 1.07/1.21 (* end of lemma zenon_L773_ *) % 1.07/1.21 assert (zenon_L774_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H199 zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_H166 zenon_H2f zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Hc4. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L748_); trivial. % 1.07/1.21 apply (zenon_L246_); trivial. % 1.07/1.21 (* end of lemma zenon_L774_ *) % 1.07/1.21 assert (zenon_L775_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H26c zenon_H26d zenon_H14c zenon_H1b9 zenon_H19b zenon_H72 zenon_H1bb zenon_H20c zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H166 zenon_H20e. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_L675_); trivial. % 1.07/1.21 apply (zenon_L774_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.21 apply (zenon_L670_); trivial. % 1.07/1.21 apply (zenon_L733_); trivial. % 1.07/1.21 (* end of lemma zenon_L775_ *) % 1.07/1.21 assert (zenon_L776_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H199 zenon_H19b zenon_H22b zenon_H1bb zenon_H28a zenon_H297 zenon_H289 zenon_H83 zenon_H87 zenon_H85 zenon_H1bd zenon_H287 zenon_He0 zenon_H106 zenon_Hf5 zenon_H14a zenon_H14c zenon_Hc4 zenon_H166 zenon_Ha1 zenon_H162 zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H5 zenon_H7 zenon_H47 zenon_H72 zenon_Hf6 zenon_H5e zenon_H5a zenon_H49 zenon_H19 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H111 zenon_H151. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_L759_); trivial. % 1.07/1.21 apply (zenon_L686_); trivial. % 1.07/1.21 (* end of lemma zenon_L776_ *) % 1.07/1.21 assert (zenon_L777_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H19b zenon_H141 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H11a zenon_H111 zenon_H151. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.21 apply (zenon_L496_); trivial. % 1.07/1.21 apply (zenon_L625_); trivial. % 1.07/1.21 apply (zenon_L701_); trivial. % 1.07/1.21 (* end of lemma zenon_L777_ *) % 1.07/1.21 assert (zenon_L778_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> False). % 1.07/1.21 do 0 intro. intros zenon_H170 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac. % 1.07/1.21 generalize (zenon_H170 (a1)). zenon_intro zenon_H2ad. % 1.07/1.21 apply (zenon_imply_s _ _ zenon_H2ad); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ae ]. % 1.07/1.21 exact (zenon_H9 zenon_Ha). % 1.07/1.21 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2af ]. % 1.07/1.21 exact (zenon_H2aa zenon_H2b0). % 1.07/1.21 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2b1 ]. % 1.07/1.21 exact (zenon_H2ab zenon_H2b2). % 1.07/1.21 exact (zenon_H2b1 zenon_H2ac). % 1.07/1.21 (* end of lemma zenon_L778_ *) % 1.07/1.21 assert (zenon_L779_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp23)) -> False). % 1.07/1.21 do 0 intro. intros zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H15 zenon_H174. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H170 | zenon_intro zenon_H177 ]. % 1.07/1.21 apply (zenon_L778_); trivial. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16 | zenon_intro zenon_H175 ]. % 1.07/1.21 exact (zenon_H15 zenon_H16). % 1.07/1.21 exact (zenon_H174 zenon_H175). % 1.07/1.21 (* end of lemma zenon_L779_ *) % 1.07/1.21 assert (zenon_L780_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H1 zenon_H32 zenon_H38. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.21 apply (zenon_L779_); trivial. % 1.07/1.21 apply (zenon_L231_); trivial. % 1.07/1.21 apply (zenon_L44_); trivial. % 1.07/1.21 (* end of lemma zenon_L780_ *) % 1.07/1.21 assert (zenon_L781_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H2f zenon_H1 zenon_H32 zenon_Hae. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.21 apply (zenon_L45_); trivial. % 1.07/1.21 apply (zenon_L137_); trivial. % 1.07/1.21 (* end of lemma zenon_L781_ *) % 1.07/1.21 assert (zenon_L782_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp21)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H1 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.21 apply (zenon_L780_); trivial. % 1.07/1.21 apply (zenon_L781_); trivial. % 1.07/1.21 (* end of lemma zenon_L782_ *) % 1.07/1.21 assert (zenon_L783_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H43 zenon_H45 zenon_H47 zenon_H72. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.21 apply (zenon_L782_); trivial. % 1.07/1.21 apply (zenon_L50_); trivial. % 1.07/1.21 apply (zenon_L54_); trivial. % 1.07/1.21 (* end of lemma zenon_L783_ *) % 1.07/1.21 assert (zenon_L784_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_He4 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H6e zenon_H72. % 1.07/1.21 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.07/1.21 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.07/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.21 apply (zenon_L782_); trivial. % 1.07/1.21 apply (zenon_L28_); trivial. % 1.07/1.21 apply (zenon_L54_); trivial. % 1.07/1.21 (* end of lemma zenon_L784_ *) % 1.07/1.21 assert (zenon_L785_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H38 zenon_H14a zenon_H2b zenon_H77 zenon_H74 zenon_H76 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.21 apply (zenon_L779_); trivial. % 1.07/1.21 apply (zenon_L105_); trivial. % 1.07/1.21 (* end of lemma zenon_L785_ *) % 1.07/1.21 assert (zenon_L786_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.21 apply (zenon_L785_); trivial. % 1.07/1.21 apply (zenon_L180_); trivial. % 1.07/1.21 (* end of lemma zenon_L786_ *) % 1.07/1.21 assert (zenon_L787_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hf5 zenon_H57 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H2b zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.21 apply (zenon_L783_); trivial. % 1.07/1.21 apply (zenon_L784_); trivial. % 1.07/1.21 apply (zenon_L786_); trivial. % 1.07/1.21 (* end of lemma zenon_L787_ *) % 1.07/1.21 assert (zenon_L788_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hf6 zenon_He5 zenon_He0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hd1 zenon_Hd3 zenon_H72 zenon_H47 zenon_H43 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.21 apply (zenon_L783_); trivial. % 1.07/1.21 apply (zenon_L62_); trivial. % 1.07/1.21 (* end of lemma zenon_L788_ *) % 1.07/1.21 assert (zenon_L789_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> (c3_1 (a76)) -> (c1_1 (a76)) -> (c0_1 (a76)) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> False). % 1.07/1.21 do 0 intro. intros zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H50 zenon_H4f zenon_H4e zenon_Ha zenon_H112 zenon_H8f zenon_H91 zenon_H90. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 1.07/1.21 apply (zenon_L43_); trivial. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 1.07/1.21 apply (zenon_L22_); trivial. % 1.07/1.21 apply (zenon_L110_); trivial. % 1.07/1.21 (* end of lemma zenon_L789_ *) % 1.07/1.21 assert (zenon_L790_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hab zenon_Ha1 zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b1 zenon_H17c zenon_H17d zenon_H17e zenon_H1b9 zenon_H3c zenon_H3b zenon_H3a zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.07/1.21 apply (zenon_L37_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 1.07/1.21 apply (zenon_L21_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ]. % 1.07/1.21 apply (zenon_L17_); trivial. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.07/1.21 apply (zenon_L103_); trivial. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.07/1.21 apply (zenon_L789_); trivial. % 1.07/1.21 apply (zenon_L136_); trivial. % 1.07/1.21 exact (zenon_H2f zenon_H30). % 1.07/1.21 (* end of lemma zenon_L790_ *) % 1.07/1.21 assert (zenon_L791_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hae zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b1 zenon_H17c zenon_H17d zenon_H17e zenon_H1b9 zenon_H3c zenon_H3b zenon_H3a zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H3 zenon_H49 zenon_H9a zenon_H9d zenon_Ha1. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.21 apply (zenon_L42_); trivial. % 1.07/1.21 apply (zenon_L790_); trivial. % 1.07/1.21 (* end of lemma zenon_L791_ *) % 1.07/1.21 assert (zenon_L792_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H3a zenon_H3b zenon_H3c zenon_H1b9 zenon_H1b1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.21 apply (zenon_L791_); trivial. % 1.07/1.21 apply (zenon_L137_); trivial. % 1.07/1.21 (* end of lemma zenon_L792_ *) % 1.07/1.21 assert (zenon_L793_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H6d zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H8b zenon_H8d zenon_H5e zenon_H1b9 zenon_H1b1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H74 zenon_H77 zenon_H2b zenon_H14a zenon_H38. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.21 apply (zenon_L785_); trivial. % 1.07/1.21 apply (zenon_L792_); trivial. % 1.07/1.21 (* end of lemma zenon_L793_ *) % 1.07/1.21 assert (zenon_L794_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.21 apply (zenon_L787_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.21 apply (zenon_L788_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.21 apply (zenon_L782_); trivial. % 1.07/1.21 apply (zenon_L793_); trivial. % 1.07/1.21 apply (zenon_L54_); trivial. % 1.07/1.21 (* end of lemma zenon_L794_ *) % 1.07/1.21 assert (zenon_L795_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H17 zenon_H166 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.21 apply (zenon_L794_); trivial. % 1.07/1.21 apply (zenon_L233_); trivial. % 1.07/1.21 (* end of lemma zenon_L795_ *) % 1.07/1.21 assert (zenon_L796_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hab zenon_H38 zenon_H5e zenon_H1b1 zenon_H2b zenon_H3 zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.21 apply (zenon_L779_); trivial. % 1.07/1.21 apply (zenon_L354_); trivial. % 1.07/1.21 (* end of lemma zenon_L796_ *) % 1.07/1.21 assert (zenon_L797_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H49 zenon_H3 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.21 apply (zenon_L779_); trivial. % 1.07/1.21 apply (zenon_L352_); trivial. % 1.07/1.21 apply (zenon_L796_); trivial. % 1.07/1.21 (* end of lemma zenon_L797_ *) % 1.07/1.21 assert (zenon_L798_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H60 zenon_H38 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_H2b zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.21 apply (zenon_L779_); trivial. % 1.07/1.21 apply (zenon_L464_); trivial. % 1.07/1.21 (* end of lemma zenon_L798_ *) % 1.07/1.21 assert (zenon_L799_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H5f zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176 zenon_Hae. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.21 apply (zenon_L797_); trivial. % 1.07/1.21 apply (zenon_L798_); trivial. % 1.07/1.21 (* end of lemma zenon_L799_ *) % 1.07/1.21 assert (zenon_L800_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H6d zenon_H188 zenon_H17a zenon_H178 zenon_Ha1 zenon_H8b zenon_H8d zenon_H1b9 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H5f. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.21 apply (zenon_L799_); trivial. % 1.07/1.21 apply (zenon_L792_); trivial. % 1.07/1.21 (* end of lemma zenon_L800_ *) % 1.07/1.21 assert (zenon_L801_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.07/1.21 do 0 intro. intros zenon_H106 zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_H1b1 zenon_H1b9 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.21 apply (zenon_L787_); trivial. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.07/1.21 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.07/1.21 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.21 apply (zenon_L782_); trivial. % 1.07/1.21 apply (zenon_L800_); trivial. % 1.07/1.21 apply (zenon_L54_); trivial. % 1.07/1.21 (* end of lemma zenon_L801_ *) % 1.07/1.21 assert (zenon_L802_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_He0 zenon_H141 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H85 zenon_H138 zenon_H106. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_L801_); trivial. % 1.07/1.22 apply (zenon_L143_); trivial. % 1.07/1.22 (* end of lemma zenon_L802_ *) % 1.07/1.22 assert (zenon_L803_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H166 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H138 zenon_H85 zenon_H141 zenon_H19b. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.22 apply (zenon_L795_); trivial. % 1.07/1.22 apply (zenon_L802_); trivial. % 1.07/1.22 apply (zenon_L147_); trivial. % 1.07/1.22 (* end of lemma zenon_L803_ *) % 1.07/1.22 assert (zenon_L804_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_L785_); trivial. % 1.07/1.22 apply (zenon_L222_); trivial. % 1.07/1.22 (* end of lemma zenon_L804_ *) % 1.07/1.22 assert (zenon_L805_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp21)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H38 zenon_H5e zenon_H285 zenon_H1 zenon_H2b zenon_H3 zenon_H49 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L527_); trivial. % 1.07/1.22 (* end of lemma zenon_L805_ *) % 1.07/1.22 assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H14a zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H138 zenon_H85 zenon_H8d zenon_H1b9 zenon_Ha1 zenon_H38 zenon_H5e zenon_H285 zenon_H2b zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19 zenon_H17 zenon_H141 zenon_H2f zenon_H15b zenon_H15a zenon_H159 zenon_H32 zenon_H162 zenon_H5f zenon_H47 zenon_H72 zenon_Hf6. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.22 apply (zenon_L805_); trivial. % 1.07/1.22 apply (zenon_L118_); trivial. % 1.07/1.22 apply (zenon_L512_); trivial. % 1.07/1.22 apply (zenon_L50_); trivial. % 1.07/1.22 apply (zenon_L54_); trivial. % 1.07/1.22 apply (zenon_L124_); trivial. % 1.07/1.22 apply (zenon_L120_); trivial. % 1.07/1.22 (* end of lemma zenon_L806_ *) % 1.07/1.22 assert (zenon_L807_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (ndr1_0) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H188 zenon_H17a zenon_H178 zenon_H16e zenon_Hec zenon_H133 zenon_H12a zenon_H129 zenon_Ha zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H2b zenon_H85 zenon_H138 zenon_H38 zenon_H5f. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.22 apply (zenon_L127_); trivial. % 1.07/1.22 apply (zenon_L798_); trivial. % 1.07/1.22 apply (zenon_L138_); trivial. % 1.07/1.22 (* end of lemma zenon_L807_ *) % 1.07/1.22 assert (zenon_L808_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H2f zenon_H141 zenon_Hf6 zenon_H5f zenon_H38 zenon_H138 zenon_H85 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hec zenon_H16e zenon_H178 zenon_H17a zenon_H188. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_L807_); trivial. % 1.07/1.22 apply (zenon_L143_); trivial. % 1.07/1.22 (* end of lemma zenon_L808_ *) % 1.07/1.22 assert (zenon_L809_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp12)\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H20e zenon_H19 zenon_H33 zenon_H2d zenon_H162 zenon_H285 zenon_H14c zenon_H16e zenon_H19b zenon_H141 zenon_H85 zenon_H138 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H87 zenon_H19a. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.22 apply (zenon_L803_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.22 apply (zenon_L70_); trivial. % 1.07/1.22 apply (zenon_L124_); trivial. % 1.07/1.22 apply (zenon_L804_); trivial. % 1.07/1.22 apply (zenon_L806_); trivial. % 1.07/1.22 apply (zenon_L125_); trivial. % 1.07/1.22 apply (zenon_L808_); trivial. % 1.07/1.22 apply (zenon_L147_); trivial. % 1.07/1.22 (* end of lemma zenon_L809_ *) % 1.07/1.22 assert (zenon_L810_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H38 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H17 zenon_H8b zenon_H11a zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L252_); trivial. % 1.07/1.22 (* end of lemma zenon_L810_ *) % 1.07/1.22 assert (zenon_L811_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H17 zenon_H8b zenon_H11a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L162_); trivial. % 1.07/1.22 (* end of lemma zenon_L811_ *) % 1.07/1.22 assert (zenon_L812_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H8b zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.22 apply (zenon_L810_); trivial. % 1.07/1.22 apply (zenon_L811_); trivial. % 1.07/1.22 (* end of lemma zenon_L812_ *) % 1.07/1.22 assert (zenon_L813_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (c0_1 (a42)) -> (~(c3_1 (a42))) -> (~(c1_1 (a42))) -> (~(hskp2)) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hab zenon_H283 zenon_H17e zenon_H17d zenon_H17c zenon_H2d. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H132 | zenon_intro zenon_H284 ]. % 1.07/1.22 apply (zenon_L136_); trivial. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H25 | zenon_intro zenon_H2e ]. % 1.07/1.22 apply (zenon_L43_); trivial. % 1.07/1.22 exact (zenon_H2d zenon_H2e). % 1.07/1.22 (* end of lemma zenon_L813_ *) % 1.07/1.22 assert (zenon_L814_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H185 zenon_Hae zenon_H283 zenon_H2d zenon_H76 zenon_H74 zenon_H77 zenon_Hec zenon_Hee. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.22 apply (zenon_L65_); trivial. % 1.07/1.22 apply (zenon_L813_); trivial. % 1.07/1.22 (* end of lemma zenon_L814_ *) % 1.07/1.22 assert (zenon_L815_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L256_); trivial. % 1.07/1.22 (* end of lemma zenon_L815_ *) % 1.07/1.22 assert (zenon_L816_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L258_); trivial. % 1.07/1.22 (* end of lemma zenon_L816_ *) % 1.07/1.22 assert (zenon_L817_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H11f zenon_H121 zenon_H38. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.22 apply (zenon_L815_); trivial. % 1.07/1.22 apply (zenon_L816_); trivial. % 1.07/1.22 (* end of lemma zenon_L817_ *) % 1.07/1.22 assert (zenon_L818_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hc1 zenon_H188 zenon_H283 zenon_H2d zenon_H76 zenon_H74 zenon_H77 zenon_Hec zenon_Hee zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_L817_); trivial. % 1.07/1.22 apply (zenon_L814_); trivial. % 1.07/1.22 (* end of lemma zenon_L818_ *) % 1.07/1.22 assert (zenon_L819_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_Hee zenon_Hec zenon_H2d zenon_H283 zenon_H188 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_L151_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_L86_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_L812_); trivial. % 1.07/1.22 apply (zenon_L814_); trivial. % 1.07/1.22 apply (zenon_L818_); trivial. % 1.07/1.22 (* end of lemma zenon_L819_ *) % 1.07/1.22 assert (zenon_L820_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b9 zenon_H129 zenon_H12a zenon_H133 zenon_H2b zenon_H14a zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H38. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L177_); trivial. % 1.07/1.22 apply (zenon_L313_); trivial. % 1.07/1.22 (* end of lemma zenon_L820_ *) % 1.07/1.22 assert (zenon_L821_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> (~(hskp27)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H1d6 zenon_H1c8 zenon_H1c5 zenon_H1c3 zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_He0 zenon_H43 zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H1bf zenon_H38. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c7 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L195_); trivial. % 1.07/1.22 apply (zenon_L198_); trivial. % 1.07/1.22 (* end of lemma zenon_L821_ *) % 1.07/1.22 assert (zenon_L822_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf6 zenon_H201 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H12a zenon_H133 zenon_H129 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H38 zenon_H1bf zenon_H43 zenon_He0 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1c8 zenon_H1d6 zenon_H1b9 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.22 apply (zenon_L79_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1fd ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ee ]. % 1.07/1.22 apply (zenon_L821_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1d9. zenon_intro zenon_H1f0. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L205_); trivial. % 1.07/1.22 apply (zenon_L207_); trivial. % 1.07/1.22 apply (zenon_L211_); trivial. % 1.07/1.22 (* end of lemma zenon_L822_ *) % 1.07/1.22 assert (zenon_L823_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H188 zenon_H1b9 zenon_H1d6 zenon_H1c8 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H1bf zenon_H38 zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H129 zenon_H133 zenon_H12a zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H11f zenon_H121 zenon_H201 zenon_Hf6. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_L822_); trivial. % 1.07/1.22 apply (zenon_L215_); trivial. % 1.07/1.22 (* end of lemma zenon_L823_ *) % 1.07/1.22 assert (zenon_L824_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H1d6 zenon_H1c8 zenon_He0 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H11f zenon_H121 zenon_H201 zenon_Hf6 zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_L820_); trivial. % 1.07/1.22 apply (zenon_L823_); trivial. % 1.07/1.22 (* end of lemma zenon_L824_ *) % 1.07/1.22 assert (zenon_L825_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 1.07/1.22 do 0 intro. intros zenon_H1bd zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 1.07/1.22 apply (zenon_L161_); trivial. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 1.07/1.22 apply (zenon_L87_); trivial. % 1.07/1.22 apply (zenon_L327_); trivial. % 1.07/1.22 (* end of lemma zenon_L825_ *) % 1.07/1.22 assert (zenon_L826_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hab zenon_H38 zenon_H24b zenon_Hd1 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 1.07/1.22 apply (zenon_L825_); trivial. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 1.07/1.22 apply (zenon_L660_); trivial. % 1.07/1.22 exact (zenon_Hd1 zenon_Hd2). % 1.07/1.22 (* end of lemma zenon_L826_ *) % 1.07/1.22 assert (zenon_L827_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H283 zenon_H2d zenon_Hee zenon_Hec zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Hd1 zenon_H24b zenon_H38 zenon_Hae. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.22 apply (zenon_L65_); trivial. % 1.07/1.22 apply (zenon_L826_); trivial. % 1.07/1.22 apply (zenon_L814_); trivial. % 1.07/1.22 (* end of lemma zenon_L827_ *) % 1.07/1.22 assert (zenon_L828_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H5f zenon_Hae zenon_H19 zenon_H17 zenon_H9d zenon_H9a zenon_H2f zenon_H1 zenon_H32 zenon_H38 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.22 apply (zenon_L543_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L9_); trivial. % 1.07/1.22 apply (zenon_L231_); trivial. % 1.07/1.22 apply (zenon_L44_); trivial. % 1.07/1.22 (* end of lemma zenon_L828_ *) % 1.07/1.22 assert (zenon_L829_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H72 zenon_H47 zenon_H45 zenon_H43 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H17 zenon_H19 zenon_Hae zenon_H5f. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.22 apply (zenon_L828_); trivial. % 1.07/1.22 apply (zenon_L50_); trivial. % 1.07/1.22 (* end of lemma zenon_L829_ *) % 1.07/1.22 assert (zenon_L830_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H17 zenon_H19 zenon_Hae zenon_H5f. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.22 apply (zenon_L828_); trivial. % 1.07/1.22 apply (zenon_L28_); trivial. % 1.07/1.22 (* end of lemma zenon_L830_ *) % 1.07/1.22 assert (zenon_L831_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf6 zenon_H6e zenon_H5f zenon_Hae zenon_H19 zenon_H17 zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e zenon_H43 zenon_H47 zenon_H72. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.22 apply (zenon_L829_); trivial. % 1.07/1.22 apply (zenon_L830_); trivial. % 1.07/1.22 (* end of lemma zenon_L831_ *) % 1.07/1.22 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_L785_); trivial. % 1.07/1.22 apply (zenon_L814_); trivial. % 1.07/1.22 (* end of lemma zenon_L832_ *) % 1.07/1.22 assert (zenon_L833_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H19a zenon_H283 zenon_H2d zenon_H1bd zenon_H19 zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H166 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H1bb zenon_H19b. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.22 apply (zenon_L795_); trivial. % 1.07/1.22 apply (zenon_L239_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_L831_); trivial. % 1.07/1.22 apply (zenon_L832_); trivial. % 1.07/1.22 apply (zenon_L233_); trivial. % 1.07/1.22 apply (zenon_L239_); trivial. % 1.07/1.22 (* end of lemma zenon_L833_ *) % 1.07/1.22 assert (zenon_L834_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H20e zenon_H141 zenon_H121 zenon_H11f zenon_H19b zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H19 zenon_H1bd zenon_H2d zenon_H283 zenon_H19a. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.22 apply (zenon_L833_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_L242_); trivial. % 1.07/1.22 apply (zenon_L832_); trivial. % 1.07/1.22 apply (zenon_L389_); trivial. % 1.07/1.22 apply (zenon_L246_); trivial. % 1.07/1.22 (* end of lemma zenon_L834_ *) % 1.07/1.22 assert (zenon_L835_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hae zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H8b zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.22 apply (zenon_L810_); trivial. % 1.07/1.22 apply (zenon_L255_); trivial. % 1.07/1.22 (* end of lemma zenon_L835_ *) % 1.07/1.22 assert (zenon_L836_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_Hae zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_Hee zenon_Hec zenon_H2d zenon_H283 zenon_H188 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_L151_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_L86_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_L835_); trivial. % 1.07/1.22 apply (zenon_L814_); trivial. % 1.07/1.22 apply (zenon_L260_); trivial. % 1.07/1.22 (* end of lemma zenon_L836_ *) % 1.07/1.22 assert (zenon_L837_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H188 zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_Hae zenon_Hf5 zenon_H151. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.22 apply (zenon_L836_); trivial. % 1.07/1.22 apply (zenon_L264_); trivial. % 1.07/1.22 (* end of lemma zenon_L837_ *) % 1.07/1.22 assert (zenon_L838_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H43 zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.22 apply (zenon_L79_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.07/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_L48_); trivial. % 1.07/1.22 apply (zenon_L207_); trivial. % 1.07/1.22 (* end of lemma zenon_L838_ *) % 1.07/1.22 assert (zenon_L839_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_Hf0 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_L838_); trivial. % 1.07/1.22 apply (zenon_L266_); trivial. % 1.07/1.22 (* end of lemma zenon_L839_ *) % 1.07/1.22 assert (zenon_L840_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H5f zenon_H1b1 zenon_H14c zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_H159 zenon_H15b zenon_H15a zenon_H3c zenon_H3b zenon_H3a zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H24d zenon_H38. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.22 apply (zenon_L779_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.07/1.22 apply (zenon_L436_); trivial. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.07/1.22 apply (zenon_L366_); trivial. % 1.07/1.22 apply (zenon_L78_); trivial. % 1.07/1.22 apply (zenon_L328_); trivial. % 1.07/1.22 (* end of lemma zenon_L840_ *) % 1.07/1.22 assert (zenon_L841_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H1bb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.22 apply (zenon_L240_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.22 apply (zenon_L840_); trivial. % 1.07/1.22 apply (zenon_L814_); trivial. % 1.07/1.22 (* end of lemma zenon_L841_ *) % 1.07/1.22 assert (zenon_L842_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_H188 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H162 zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H1bb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_L86_); trivial. % 1.07/1.22 apply (zenon_L841_); trivial. % 1.07/1.22 (* end of lemma zenon_L842_ *) % 1.07/1.22 assert (zenon_L843_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H106 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H2b zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.22 apply (zenon_L787_); trivial. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.07/1.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.22 apply (zenon_L788_); trivial. % 1.07/1.22 apply (zenon_L281_); trivial. % 1.07/1.22 (* end of lemma zenon_L843_ *) % 1.07/1.22 assert (zenon_L844_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H18a zenon_H151 zenon_H141 zenon_H111 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.22 apply (zenon_L843_); trivial. % 1.07/1.22 apply (zenon_L414_); trivial. % 1.07/1.22 (* end of lemma zenon_L844_ *) % 1.07/1.22 assert (zenon_L845_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.22 do 0 intro. intros zenon_H19b zenon_H141 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.23 apply (zenon_L795_); trivial. % 1.07/1.23 apply (zenon_L844_); trivial. % 1.07/1.23 (* end of lemma zenon_L845_ *) % 1.07/1.23 assert (zenon_L846_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H19a zenon_H87 zenon_H85 zenon_H151 zenon_Hee zenon_Hec zenon_H111 zenon_H11a zenon_H166 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H141 zenon_H19b. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.07/1.23 apply (zenon_L845_); trivial. % 1.07/1.23 apply (zenon_L147_); trivial. % 1.07/1.23 (* end of lemma zenon_L846_ *) % 1.07/1.23 assert (zenon_L847_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_Hf6 zenon_H111 zenon_H5f zenon_H38 zenon_H141 zenon_H2f zenon_H19 zenon_H5e zenon_H8d zenon_H49 zenon_H210 zenon_H211 zenon_H212 zenon_Hec zenon_H25d zenon_Ha1 zenon_Hc0 zenon_Hc4 zenon_H138 zenon_H85 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H17a zenon_H188 zenon_He0 zenon_Hae zenon_H32 zenon_Hee zenon_H6e zenon_H72 zenon_Hf5 zenon_H19b. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.23 apply (zenon_L376_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.23 apply (zenon_L374_); trivial. % 1.07/1.23 apply (zenon_L798_); trivial. % 1.07/1.23 apply (zenon_L735_); trivial. % 1.07/1.23 apply (zenon_L54_); trivial. % 1.07/1.23 apply (zenon_L143_); trivial. % 1.07/1.23 apply (zenon_L147_); trivial. % 1.07/1.23 (* end of lemma zenon_L847_ *) % 1.07/1.23 assert (zenon_L848_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H20e zenon_H19 zenon_H25d zenon_H138 zenon_H19b zenon_H141 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H85 zenon_H87 zenon_H19a. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.23 apply (zenon_L846_); trivial. % 1.07/1.23 apply (zenon_L847_); trivial. % 1.07/1.23 (* end of lemma zenon_L848_ *) % 1.07/1.23 assert (zenon_L849_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a35))) -> (~(c3_1 (a35))) -> (c1_1 (a35)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H38 zenon_H22b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H229 zenon_H9d zenon_H9a zenon_H98 zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_L275_); trivial. % 1.07/1.23 (* end of lemma zenon_L849_ *) % 1.07/1.23 assert (zenon_L850_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H10a zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H9a zenon_H9d zenon_H229 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H22b zenon_H38. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.23 apply (zenon_L849_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_L276_); trivial. % 1.07/1.23 (* end of lemma zenon_L850_ *) % 1.07/1.23 assert (zenon_L851_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H49 zenon_H2b zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H5f. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_L799_); trivial. % 1.07/1.23 apply (zenon_L313_); trivial. % 1.07/1.23 (* end of lemma zenon_L851_ *) % 1.07/1.23 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.23 apply (zenon_L851_); trivial. % 1.07/1.23 apply (zenon_L288_); trivial. % 1.07/1.23 (* end of lemma zenon_L852_ *) % 1.07/1.23 assert (zenon_L853_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H19b zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H5e zenon_H49 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H188 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H9a zenon_H1b1 zenon_H1aa zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_He0 zenon_H111 zenon_Hf5 zenon_H151. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.23 apply (zenon_L151_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.23 apply (zenon_L79_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.23 apply (zenon_L81_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_L850_); trivial. % 1.07/1.23 apply (zenon_L207_); trivial. % 1.07/1.23 apply (zenon_L281_); trivial. % 1.07/1.23 apply (zenon_L852_); trivial. % 1.07/1.23 (* end of lemma zenon_L853_ *) % 1.07/1.23 assert (zenon_L854_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf5 zenon_H283 zenon_H2d zenon_Hee zenon_Hec zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H1b1 zenon_Hd1 zenon_H24b zenon_Hae zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_L838_); trivial. % 1.07/1.23 apply (zenon_L827_); trivial. % 1.07/1.23 (* end of lemma zenon_L854_ *) % 1.07/1.23 assert (zenon_L855_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a24)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp2)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H31 zenon_H238 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H109 zenon_H108 zenon_H43 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H10a zenon_H210 zenon_H211 zenon_H212 zenon_H22b zenon_H2d. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H22d | zenon_intro zenon_H239 ]. % 1.07/1.23 apply (zenon_L291_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_He8 | zenon_intro zenon_H2e ]. % 1.07/1.23 apply (zenon_L377_); trivial. % 1.07/1.23 exact (zenon_H2d zenon_H2e). % 1.07/1.23 (* end of lemma zenon_L855_ *) % 1.07/1.23 assert (zenon_L856_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a52)) -> (~(c2_1 (a52))) -> (~(c0_1 (a52))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp15)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H31 zenon_H162 zenon_He zenon_Hd zenon_Hc zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H43 zenon_H129 zenon_H133 zenon_H12a zenon_H64 zenon_H65 zenon_H66 zenon_He0. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 1.07/1.23 apply (zenon_L6_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 1.07/1.23 apply (zenon_L152_); trivial. % 1.07/1.23 apply (zenon_L204_); trivial. % 1.07/1.23 (* end of lemma zenon_L856_ *) % 1.07/1.23 assert (zenon_L857_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H60 zenon_H38 zenon_H162 zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_L856_); trivial. % 1.07/1.23 (* end of lemma zenon_L857_ *) % 1.07/1.23 assert (zenon_L858_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H38 zenon_H238 zenon_H2d zenon_H1b9 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H22b zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H14c zenon_H108 zenon_H109 zenon_H10a zenon_H24d zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.07/1.23 apply (zenon_L155_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.07/1.23 apply (zenon_L500_); trivial. % 1.07/1.23 apply (zenon_L307_); trivial. % 1.07/1.23 (* end of lemma zenon_L858_ *) % 1.07/1.23 assert (zenon_L859_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H20e zenon_H25d zenon_H212 zenon_H211 zenon_H210 zenon_H141 zenon_H19b zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H19 zenon_H1bd zenon_H2d zenon_H283 zenon_H19a. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.23 apply (zenon_L833_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.23 apply (zenon_L376_); trivial. % 1.07/1.23 apply (zenon_L239_); trivial. % 1.07/1.23 (* end of lemma zenon_L859_ *) % 1.07/1.23 assert (zenon_L860_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a26))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_He0 zenon_H66 zenon_H65 zenon_H64 zenon_H43 zenon_H1b9 zenon_H1e zenon_H1d zenon_H26 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_Hf8 zenon_Hc5 zenon_Hfa zenon_H162 zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.07/1.23 apply (zenon_L271_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.07/1.23 apply (zenon_L437_); trivial. % 1.07/1.23 apply (zenon_L17_); trivial. % 1.07/1.23 (* end of lemma zenon_L860_ *) % 1.07/1.23 assert (zenon_L861_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H64 zenon_H65 zenon_H66 zenon_H108 zenon_H109 zenon_H10a zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1b1 zenon_Hfa zenon_Hf8 zenon_H22b zenon_H3a zenon_H3b zenon_H3c zenon_H15a zenon_H15b zenon_H159 zenon_H203 zenon_H204 zenon_H205 zenon_H1bb zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.07/1.23 apply (zenon_L436_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.07/1.23 apply (zenon_L860_); trivial. % 1.07/1.23 apply (zenon_L78_); trivial. % 1.07/1.23 (* end of lemma zenon_L861_ *) % 1.07/1.23 assert (zenon_L862_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H38 zenon_H121 zenon_H11f zenon_Hc zenon_Hd zenon_He zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H77 zenon_H74 zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 1.07/1.23 apply (zenon_L251_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 1.07/1.23 apply (zenon_L183_); trivial. % 1.07/1.23 exact (zenon_H11f zenon_H120). % 1.07/1.23 (* end of lemma zenon_L862_ *) % 1.07/1.23 assert (zenon_L863_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a52))) -> (~(c2_1 (a52))) -> (c3_1 (a52)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_Hc zenon_Hd zenon_He zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H77 zenon_H74 zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 1.07/1.23 apply (zenon_L161_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 1.07/1.23 apply (zenon_L183_); trivial. % 1.07/1.23 exact (zenon_H11f zenon_H120). % 1.07/1.23 (* end of lemma zenon_L863_ *) % 1.07/1.23 assert (zenon_L864_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H60 zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H74 zenon_H77 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.23 apply (zenon_L862_); trivial. % 1.07/1.23 apply (zenon_L863_); trivial. % 1.07/1.23 (* end of lemma zenon_L864_ *) % 1.07/1.23 assert (zenon_L865_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H5f zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H9a zenon_H9d zenon_H38 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H77 zenon_H74 zenon_H11f zenon_H121. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.23 apply (zenon_L336_); trivial. % 1.07/1.23 apply (zenon_L864_); trivial. % 1.07/1.23 (* end of lemma zenon_L865_ *) % 1.07/1.23 assert (zenon_L866_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H121 zenon_H11f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H5f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_L865_); trivial. % 1.07/1.23 apply (zenon_L814_); trivial. % 1.07/1.23 (* end of lemma zenon_L866_ *) % 1.07/1.23 assert (zenon_L867_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_Hae zenon_H1b1 zenon_H9a zenon_H9d zenon_H5a zenon_H1bd zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121 zenon_Hee zenon_Hec zenon_H2d zenon_H283 zenon_Hf5. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_L838_); trivial. % 1.07/1.23 apply (zenon_L866_); trivial. % 1.07/1.23 apply (zenon_L332_); trivial. % 1.07/1.23 (* end of lemma zenon_L867_ *) % 1.07/1.23 assert (zenon_L868_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H252 zenon_H253 zenon_H254 zenon_H162 zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_Hfa zenon_Hf8 zenon_H24d zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.23 apply (zenon_L79_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.07/1.23 apply (zenon_L331_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 1.07/1.23 apply (zenon_L305_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 1.07/1.23 apply (zenon_L152_); trivial. % 1.07/1.23 apply (zenon_L204_); trivial. % 1.07/1.23 apply (zenon_L78_); trivial. % 1.07/1.23 apply (zenon_L207_); trivial. % 1.07/1.23 (* end of lemma zenon_L868_ *) % 1.07/1.23 assert (zenon_L869_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H121 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H18d zenon_H18e zenon_H18f zenon_H1bd zenon_H11f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 1.07/1.23 apply (zenon_L145_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 1.07/1.23 apply (zenon_L145_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 1.07/1.23 apply (zenon_L119_); trivial. % 1.07/1.23 apply (zenon_L213_); trivial. % 1.07/1.23 exact (zenon_H11f zenon_H120). % 1.07/1.23 (* end of lemma zenon_L869_ *) % 1.07/1.23 assert (zenon_L870_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H5f zenon_H18f zenon_H18e zenon_H18d zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.23 apply (zenon_L336_); trivial. % 1.07/1.23 apply (zenon_L343_); trivial. % 1.07/1.23 (* end of lemma zenon_L870_ *) % 1.07/1.23 assert (zenon_L871_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H14e zenon_H189 zenon_H106 zenon_H252 zenon_H253 zenon_H254 zenon_H1ec zenon_H24d zenon_H5a zenon_H5f zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb4 zenon_H38 zenon_H111 zenon_H18d zenon_H18e zenon_H18f zenon_H1bd zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H11f zenon_H121 zenon_Hf5. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_L838_); trivial. % 1.07/1.23 apply (zenon_L869_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_L868_); trivial. % 1.07/1.23 apply (zenon_L870_); trivial. % 1.07/1.23 apply (zenon_L332_); trivial. % 1.07/1.23 (* end of lemma zenon_L871_ *) % 1.07/1.23 assert (zenon_L872_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_H189 zenon_H106 zenon_H252 zenon_H253 zenon_H254 zenon_H1ec zenon_H24d zenon_H5a zenon_H5f zenon_Hf6 zenon_He0 zenon_Hb4 zenon_H111 zenon_H1bd zenon_H1bb zenon_H162 zenon_Hf5 zenon_H38 zenon_Hc0 zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.23 apply (zenon_L220_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.23 apply (zenon_L820_); trivial. % 1.07/1.23 apply (zenon_L871_); trivial. % 1.07/1.23 (* end of lemma zenon_L872_ *) % 1.07/1.23 assert (zenon_L873_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H5f zenon_H1b1 zenon_H14c zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H252 zenon_H253 zenon_H254 zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H24d zenon_H38. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_L367_); trivial. % 1.07/1.23 apply (zenon_L370_); trivial. % 1.07/1.23 (* end of lemma zenon_L873_ *) % 1.07/1.23 assert (zenon_L874_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_L873_); trivial. % 1.07/1.23 apply (zenon_L814_); trivial. % 1.07/1.23 (* end of lemma zenon_L874_ *) % 1.07/1.23 assert (zenon_L875_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H60 zenon_H38 zenon_H24b zenon_Hd1 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H74 zenon_H76 zenon_H77 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_L486_); trivial. % 1.07/1.23 (* end of lemma zenon_L875_ *) % 1.07/1.23 assert (zenon_L876_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H18a zenon_H151 zenon_H189 zenon_H106 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H14c zenon_H5a zenon_Hf6 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_Hb4 zenon_H111 zenon_H24b zenon_Hd1 zenon_H162 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_Hf5 zenon_H5f zenon_H38 zenon_H138 zenon_H85 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hec zenon_H16e zenon_H178 zenon_H17a zenon_H188. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.23 apply (zenon_L807_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_L838_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.23 apply (zenon_L127_); trivial. % 1.07/1.23 apply (zenon_L875_); trivial. % 1.07/1.23 apply (zenon_L138_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_L868_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_L873_); trivial. % 1.07/1.23 apply (zenon_L138_); trivial. % 1.07/1.23 apply (zenon_L332_); trivial. % 1.07/1.23 (* end of lemma zenon_L876_ *) % 1.07/1.23 assert (zenon_L877_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H168 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H205 zenon_H204 zenon_H203 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H162 zenon_H108 zenon_H109 zenon_H10a. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.07/1.23 apply (zenon_L331_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 1.07/1.23 apply (zenon_L305_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 1.07/1.23 apply (zenon_L152_); trivial. % 1.07/1.23 apply (zenon_L348_); trivial. % 1.07/1.23 apply (zenon_L78_); trivial. % 1.07/1.23 (* end of lemma zenon_L877_ *) % 1.07/1.23 assert (zenon_L878_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_Hf8 zenon_Hfa zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H43 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H24d zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.07/1.23 apply (zenon_L79_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.07/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.07/1.23 apply (zenon_L331_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.07/1.23 apply (zenon_L271_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.07/1.23 apply (zenon_L437_); trivial. % 1.07/1.23 apply (zenon_L438_); trivial. % 1.07/1.23 apply (zenon_L78_); trivial. % 1.07/1.23 apply (zenon_L207_); trivial. % 1.07/1.23 (* end of lemma zenon_L878_ *) % 1.07/1.23 assert (zenon_L879_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (~(c3_1 (a29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (c0_1 (a20)) -> (c2_1 (a20)) -> (c3_1 (a20)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H77 zenon_H76 zenon_H123 zenon_H74 zenon_H162 zenon_H108 zenon_H10a zenon_H109 zenon_H1aa zenon_H19f zenon_H19e zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H26 zenon_H1d zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 1.07/1.23 apply (zenon_L145_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 1.07/1.23 apply (zenon_L87_); trivial. % 1.07/1.23 apply (zenon_L327_); trivial. % 1.07/1.23 (* end of lemma zenon_L879_ *) % 1.07/1.23 assert (zenon_L880_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hab zenon_H38 zenon_H24b zenon_Hd1 zenon_H1b1 zenon_H18d zenon_H18e zenon_H18f zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H108 zenon_H10a zenon_H109 zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 1.07/1.23 apply (zenon_L879_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 1.07/1.23 apply (zenon_L660_); trivial. % 1.07/1.23 exact (zenon_Hd1 zenon_Hd2). % 1.07/1.23 (* end of lemma zenon_L880_ *) % 1.07/1.23 assert (zenon_L881_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H18f zenon_H18e zenon_H18d zenon_H252 zenon_H253 zenon_H254 zenon_H24b zenon_Hd1 zenon_Hfa zenon_Hf8 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H108 zenon_H109 zenon_H10a zenon_H24d. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L368_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.07/1.23 apply (zenon_L331_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 1.07/1.23 apply (zenon_L879_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 1.07/1.23 apply (zenon_L305_); trivial. % 1.07/1.23 exact (zenon_Hd1 zenon_Hd2). % 1.07/1.23 apply (zenon_L78_); trivial. % 1.07/1.23 (* end of lemma zenon_L881_ *) % 1.07/1.23 assert (zenon_L882_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H168 zenon_Hf5 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H18f zenon_H18e zenon_H18d zenon_H24b zenon_Hd1 zenon_H14c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1b1 zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hf6. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_L878_); trivial. % 1.07/1.23 apply (zenon_L881_); trivial. % 1.07/1.23 (* end of lemma zenon_L882_ *) % 1.07/1.23 assert (zenon_L883_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H60 zenon_H38 zenon_H24b zenon_Hd1 zenon_H18d zenon_H18e zenon_H18f zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H108 zenon_H10a zenon_H109 zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.23 apply (zenon_L779_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 1.07/1.23 apply (zenon_L879_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 1.07/1.23 apply (zenon_L6_); trivial. % 1.07/1.23 exact (zenon_Hd1 zenon_Hd2). % 1.07/1.23 (* end of lemma zenon_L883_ *) % 1.07/1.23 assert (zenon_L884_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H168 zenon_Hf5 zenon_H1bd zenon_H15b zenon_H15a zenon_H159 zenon_H18f zenon_H18e zenon_H18d zenon_H24b zenon_Hd1 zenon_H14c zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H38 zenon_H24d zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H162 zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H188 zenon_Hf6. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.23 apply (zenon_L868_); trivial. % 1.07/1.23 apply (zenon_L881_); trivial. % 1.07/1.23 (* end of lemma zenon_L884_ *) % 1.07/1.23 assert (zenon_L885_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H188 zenon_H5e zenon_H5a zenon_H57 zenon_H2b zenon_H49 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H85 zenon_H138 zenon_H38 zenon_H5f. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.23 apply (zenon_L25_); trivial. % 1.07/1.23 apply (zenon_L798_); trivial. % 1.07/1.23 apply (zenon_L222_); trivial. % 1.07/1.23 (* end of lemma zenon_L885_ *) % 1.07/1.23 assert (zenon_L886_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (~(hskp12)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H31 zenon_H1b9 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_He0 zenon_H43 zenon_H141 zenon_H265 zenon_H264 zenon_H263 zenon_H14a zenon_H133 zenon_H12a zenon_H129 zenon_H2b. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.07/1.24 apply (zenon_L516_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.07/1.24 apply (zenon_L386_); trivial. % 1.07/1.24 apply (zenon_L132_); trivial. % 1.07/1.24 (* end of lemma zenon_L886_ *) % 1.07/1.24 assert (zenon_L887_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(hskp15)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H185 zenon_H1b9 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H43 zenon_H141 zenon_H265 zenon_H264 zenon_H263. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.07/1.24 apply (zenon_L516_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.07/1.24 apply (zenon_L386_); trivial. % 1.07/1.24 apply (zenon_L136_); trivial. % 1.07/1.24 (* end of lemma zenon_L887_ *) % 1.07/1.24 assert (zenon_L888_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H185 zenon_H1b9 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H159 zenon_H15a zenon_H15b zenon_H141 zenon_H265 zenon_H264 zenon_H263. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.07/1.24 apply (zenon_L116_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.07/1.24 apply (zenon_L386_); trivial. % 1.07/1.24 apply (zenon_L136_); trivial. % 1.07/1.24 (* end of lemma zenon_L888_ *) % 1.07/1.24 assert (zenon_L889_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H199 zenon_H19b zenon_H188 zenon_H5e zenon_H5a zenon_H49 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H85 zenon_H138 zenon_H38 zenon_H5f zenon_He0 zenon_H1b9 zenon_Hf5 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H2f zenon_H141 zenon_Hf6 zenon_H151. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.24 apply (zenon_L417_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.24 apply (zenon_L885_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.24 apply (zenon_L779_); trivial. % 1.07/1.24 apply (zenon_L886_); trivial. % 1.07/1.24 apply (zenon_L887_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.24 apply (zenon_L785_); trivial. % 1.07/1.24 apply (zenon_L888_); trivial. % 1.07/1.24 apply (zenon_L125_); trivial. % 1.07/1.24 (* end of lemma zenon_L889_ *) % 1.07/1.24 assert (zenon_L890_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H20e zenon_H19b zenon_H141 zenon_H5a zenon_H14a zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H47 zenon_H1b9 zenon_H1b1 zenon_H85 zenon_H138 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_Hae zenon_H32 zenon_H2f zenon_Hec zenon_Hee zenon_H6e zenon_H72 zenon_Hf5 zenon_H151 zenon_H87 zenon_H19a. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.24 apply (zenon_L390_); trivial. % 1.07/1.24 apply (zenon_L802_); trivial. % 1.07/1.24 apply (zenon_L147_); trivial. % 1.07/1.24 apply (zenon_L889_); trivial. % 1.07/1.24 (* end of lemma zenon_L890_ *) % 1.07/1.24 assert (zenon_L891_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hc1 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.24 apply (zenon_L817_); trivial. % 1.07/1.24 apply (zenon_L556_); trivial. % 1.07/1.24 (* end of lemma zenon_L891_ *) % 1.07/1.24 assert (zenon_L892_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H151 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.24 apply (zenon_L151_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.24 apply (zenon_L387_); trivial. % 1.07/1.24 apply (zenon_L891_); trivial. % 1.07/1.24 (* end of lemma zenon_L892_ *) % 1.07/1.24 assert (zenon_L893_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H14a zenon_H2b zenon_H133 zenon_H12a zenon_H129 zenon_H1b9 zenon_H38. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.24 apply (zenon_L779_); trivial. % 1.07/1.24 apply (zenon_L396_); trivial. % 1.07/1.24 apply (zenon_L556_); trivial. % 1.07/1.24 (* end of lemma zenon_L893_ *) % 1.07/1.24 assert (zenon_L894_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H1d6 zenon_H1c8 zenon_He0 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H11f zenon_H121 zenon_H201 zenon_Hf6 zenon_H38 zenon_H1b9 zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.24 apply (zenon_L893_); trivial. % 1.07/1.24 apply (zenon_L823_); trivial. % 1.07/1.24 (* end of lemma zenon_L894_ *) % 1.07/1.24 assert (zenon_L895_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a35)) -> (~(c3_1 (a35))) -> (~(c0_1 (a35))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H60 zenon_H38 zenon_H121 zenon_H11f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.24 apply (zenon_L779_); trivial. % 1.07/1.24 apply (zenon_L169_); trivial. % 1.07/1.24 (* end of lemma zenon_L895_ *) % 1.07/1.24 assert (zenon_L896_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hc1 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H121 zenon_H11f zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H162 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H38 zenon_H5f. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.07/1.24 apply (zenon_L165_); trivial. % 1.07/1.24 apply (zenon_L895_); trivial. % 1.07/1.24 apply (zenon_L556_); trivial. % 1.07/1.24 (* end of lemma zenon_L896_ *) % 1.07/1.24 assert (zenon_L897_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hc4 zenon_H188 zenon_H1b9 zenon_H121 zenon_H11f zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H162 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H38 zenon_H5f zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.07/1.24 apply (zenon_L387_); trivial. % 1.07/1.24 apply (zenon_L896_); trivial. % 1.07/1.24 (* end of lemma zenon_L897_ *) % 1.07/1.24 assert (zenon_L898_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H24f zenon_H20e zenon_H5a zenon_H24d zenon_H106 zenon_H151 zenon_H188 zenon_H1b9 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H14a zenon_Hf6 zenon_H201 zenon_H1bb zenon_H1bd zenon_H202 zenon_H162 zenon_H1ec zenon_H1bf zenon_He0 zenon_H1c8 zenon_H1d6 zenon_H111 zenon_H5f zenon_Ha1 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H72 zenon_Hf5 zenon_H19b. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.24 apply (zenon_L892_); trivial. % 1.07/1.24 apply (zenon_L894_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.24 apply (zenon_L388_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.24 apply (zenon_L897_); trivial. % 1.07/1.24 apply (zenon_L403_); trivial. % 1.07/1.24 apply (zenon_L894_); trivial. % 1.07/1.24 (* end of lemma zenon_L898_ *) % 1.07/1.24 assert (zenon_L899_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hab zenon_H38 zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H205 zenon_H204 zenon_H203 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.24 apply (zenon_L779_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 1.07/1.24 apply (zenon_L161_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 1.07/1.24 apply (zenon_L237_); trivial. % 1.07/1.24 apply (zenon_L545_); trivial. % 1.07/1.24 (* end of lemma zenon_L899_ *) % 1.07/1.24 assert (zenon_L900_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H19b zenon_H1bd zenon_H1bb zenon_H162 zenon_H1b9 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_H265 zenon_H264 zenon_H263 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_H151. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.24 apply (zenon_L447_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.24 apply (zenon_L893_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.24 apply (zenon_L779_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 1.07/1.24 apply (zenon_L251_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 1.07/1.24 apply (zenon_L237_); trivial. % 1.07/1.24 apply (zenon_L545_); trivial. % 1.07/1.24 apply (zenon_L899_); trivial. % 1.07/1.24 apply (zenon_L556_); trivial. % 1.07/1.24 (* end of lemma zenon_L900_ *) % 1.07/1.24 assert (zenon_L901_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H20c zenon_H5a zenon_He0 zenon_Ha1 zenon_H127 zenon_H24d zenon_Hf5 zenon_H106 zenon_Hae zenon_H14c zenon_H1b1 zenon_H9d zenon_H11f zenon_H121 zenon_H38 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bd zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.07/1.24 apply (zenon_L408_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.24 apply (zenon_L900_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.07/1.24 apply (zenon_L151_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.07/1.24 apply (zenon_L897_); trivial. % 1.07/1.24 apply (zenon_L495_); trivial. % 1.07/1.24 apply (zenon_L246_); trivial. % 1.07/1.24 (* end of lemma zenon_L901_ *) % 1.07/1.24 assert (zenon_L902_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H20e zenon_H19a zenon_H87 zenon_H19 zenon_H8d zenon_Hec zenon_H25d zenon_Ha1 zenon_Hc0 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H17a zenon_H188 zenon_He0 zenon_Hee zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H2f zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H111 zenon_H151 zenon_H19b. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.07/1.24 apply (zenon_L416_); trivial. % 1.07/1.24 apply (zenon_L847_); trivial. % 1.07/1.24 (* end of lemma zenon_L902_ *) % 1.07/1.24 assert (zenon_L903_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H60 zenon_H38 zenon_H22b zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.07/1.24 apply (zenon_L779_); trivial. % 1.07/1.24 apply (zenon_L428_); trivial. % 1.07/1.24 (* end of lemma zenon_L903_ *) % 1.07/1.24 assert (zenon_L904_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(hskp21)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H188 zenon_H138 zenon_H85 zenon_H7 zenon_H5 zenon_H1 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H22b zenon_H38 zenon_H5f. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.24 apply (zenon_L4_); trivial. % 1.11/1.24 apply (zenon_L903_); trivial. % 1.11/1.24 apply (zenon_L430_); trivial. % 1.11/1.24 (* end of lemma zenon_L904_ *) % 1.11/1.24 assert (zenon_L905_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.11/1.24 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H43 zenon_He0 zenon_H5f zenon_H38 zenon_H22b zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_H85 zenon_H138 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.24 apply (zenon_L79_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.24 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.24 apply (zenon_L904_); trivial. % 1.11/1.24 apply (zenon_L420_); trivial. % 1.11/1.24 (* end of lemma zenon_L905_ *) % 1.11/1.24 assert (zenon_L906_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> (~(c1_1 (a54))) -> (c0_1 (a54)) -> (c3_1 (a54)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 1.11/1.24 do 0 intro. intros zenon_H162 zenon_H1e zenon_H1d zenon_H26 zenon_H109 zenon_H10a zenon_H108 zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_H1b1 zenon_H39 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 1.11/1.24 apply (zenon_L660_); trivial. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 1.11/1.24 apply (zenon_L152_); trivial. % 1.11/1.24 apply (zenon_L173_); trivial. % 1.11/1.24 (* end of lemma zenon_L906_ *) % 1.11/1.24 assert (zenon_L907_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.24 do 0 intro. intros zenon_Hab zenon_H38 zenon_H22b zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.24 apply (zenon_L779_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.11/1.24 apply (zenon_L419_); trivial. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.11/1.24 apply (zenon_L161_); trivial. % 1.11/1.24 apply (zenon_L906_); trivial. % 1.11/1.24 (* end of lemma zenon_L907_ *) % 1.11/1.24 assert (zenon_L908_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Hee zenon_Hec zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H22b zenon_H38 zenon_Hae. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.24 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.24 apply (zenon_L65_); trivial. % 1.11/1.24 apply (zenon_L907_); trivial. % 1.11/1.24 apply (zenon_L556_); trivial. % 1.11/1.24 (* end of lemma zenon_L908_ *) % 1.11/1.24 assert (zenon_L909_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H138 zenon_H85 zenon_H7 zenon_H5 zenon_H212 zenon_H211 zenon_H210 zenon_H162 zenon_H1b1 zenon_H22b zenon_H5f zenon_He0 zenon_H72 zenon_Hf6 zenon_H38 zenon_H1b9 zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.24 apply (zenon_L893_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.24 apply (zenon_L905_); trivial. % 1.11/1.24 apply (zenon_L425_); trivial. % 1.11/1.24 (* end of lemma zenon_L909_ *) % 1.11/1.24 assert (zenon_L910_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H19b zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H188 zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H1aa zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_He0 zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.24 apply (zenon_L151_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.24 apply (zenon_L411_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.24 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.24 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.24 apply (zenon_L81_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.24 apply (zenon_L850_); trivial. % 1.11/1.24 apply (zenon_L556_); trivial. % 1.11/1.24 apply (zenon_L281_); trivial. % 1.11/1.24 apply (zenon_L421_); trivial. % 1.11/1.24 (* end of lemma zenon_L910_ *) % 1.11/1.24 assert (zenon_L911_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H151 zenon_H189 zenon_H24d zenon_H212 zenon_H211 zenon_H210 zenon_H162 zenon_H1b1 zenon_H22b zenon_H1bb zenon_H14c zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb4 zenon_H38 zenon_H111 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H15b zenon_H15a zenon_H159 zenon_Hf0 zenon_H72 zenon_Hf5 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.24 apply (zenon_L388_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.24 apply (zenon_L839_); trivial. % 1.11/1.24 apply (zenon_L441_); trivial. % 1.11/1.24 (* end of lemma zenon_L911_ *) % 1.11/1.24 assert (zenon_L912_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H24f zenon_H20e zenon_H72 zenon_Hf0 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H111 zenon_Hb4 zenon_H14c zenon_H1bb zenon_H162 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H263 zenon_H264 zenon_H265 zenon_He0 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H1b1 zenon_H9d zenon_H22b zenon_H38 zenon_H188 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H19b. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.24 apply (zenon_L910_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.24 apply (zenon_L911_); trivial. % 1.11/1.24 apply (zenon_L246_); trivial. % 1.11/1.24 (* end of lemma zenon_L912_ *) % 1.11/1.24 assert (zenon_L913_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H26c zenon_H26d zenon_Hf0 zenon_Hb4 zenon_H14c zenon_H162 zenon_H24d zenon_H189 zenon_He0 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H1b1 zenon_H22b zenon_H188 zenon_H19b zenon_H1bb zenon_H20c zenon_Hf6 zenon_H72 zenon_H6e zenon_H38 zenon_H32 zenon_H9d zenon_H166 zenon_Hae zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5 zenon_H151 zenon_H141 zenon_H111 zenon_Hc0 zenon_H20e. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.24 apply (zenon_L435_); trivial. % 1.11/1.24 apply (zenon_L912_); trivial. % 1.11/1.24 (* end of lemma zenon_L913_ *) % 1.11/1.24 assert (zenon_L914_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H265 zenon_H264 zenon_H263 zenon_H5f zenon_H38 zenon_H1aa zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5a zenon_H11f zenon_H121 zenon_H1b9 zenon_H188 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.24 apply (zenon_L151_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.24 apply (zenon_L897_); trivial. % 1.11/1.24 apply (zenon_L332_); trivial. % 1.11/1.24 (* end of lemma zenon_L914_ *) % 1.11/1.24 assert (zenon_L915_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H5f zenon_H38 zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H162 zenon_H77 zenon_H74 zenon_H11f zenon_H121. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.24 apply (zenon_L336_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.24 apply (zenon_L779_); trivial. % 1.11/1.24 apply (zenon_L337_); trivial. % 1.11/1.24 (* end of lemma zenon_L915_ *) % 1.11/1.24 assert (zenon_L916_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H121 zenon_H11f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H38 zenon_H5f. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.24 apply (zenon_L915_); trivial. % 1.11/1.24 apply (zenon_L556_); trivial. % 1.11/1.24 (* end of lemma zenon_L916_ *) % 1.11/1.24 assert (zenon_L917_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H24f zenon_H20e zenon_H72 zenon_H20c zenon_H5a zenon_H5f zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H151 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1b1 zenon_H9d zenon_H11f zenon_H121 zenon_H38 zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bb zenon_H1bd zenon_H19b. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.24 apply (zenon_L900_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.24 apply (zenon_L914_); trivial. % 1.11/1.24 apply (zenon_L246_); trivial. % 1.11/1.24 (* end of lemma zenon_L917_ *) % 1.11/1.24 assert (zenon_L918_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_Hfa zenon_Hf8 zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.24 apply (zenon_L779_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.11/1.24 apply (zenon_L331_); trivial. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.11/1.24 apply (zenon_L439_); trivial. % 1.11/1.24 apply (zenon_L78_); trivial. % 1.11/1.24 (* end of lemma zenon_L918_ *) % 1.11/1.24 assert (zenon_L919_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H168 zenon_Hf5 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H263 zenon_H264 zenon_H265 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H38 zenon_H24d zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1b1 zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hf6. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.24 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.24 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.24 apply (zenon_L878_); trivial. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.24 apply (zenon_L918_); trivial. % 1.11/1.24 apply (zenon_L814_); trivial. % 1.11/1.24 (* end of lemma zenon_L919_ *) % 1.11/1.24 assert (zenon_L920_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_H11a zenon_H17 zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106. % 1.11/1.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.24 apply (zenon_L794_); trivial. % 1.11/1.24 apply (zenon_L689_); trivial. % 1.11/1.24 (* end of lemma zenon_L920_ *) % 1.11/1.24 assert (zenon_L921_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.24 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_H11a zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H138 zenon_H85 zenon_H141 zenon_H19b. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.25 apply (zenon_L920_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_L801_); trivial. % 1.11/1.25 apply (zenon_L108_); trivial. % 1.11/1.25 apply (zenon_L147_); trivial. % 1.11/1.25 (* end of lemma zenon_L921_ *) % 1.11/1.25 assert (zenon_L922_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Ha1 zenon_H38 zenon_H11a zenon_H17 zenon_H285 zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176 zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H1 zenon_H32. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.11/1.25 apply (zenon_L453_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.25 apply (zenon_L779_); trivial. % 1.11/1.25 apply (zenon_L474_); trivial. % 1.11/1.25 (* end of lemma zenon_L922_ *) % 1.11/1.25 assert (zenon_L923_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp21)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H141 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H129 zenon_H133 zenon_H12a zenon_H43 zenon_He0 zenon_H1b1 zenon_H32 zenon_H270 zenon_H271 zenon_H1 zenon_H285 zenon_H14a zenon_H1b9 zenon_H38 zenon_Ha1. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.11/1.25 apply (zenon_L37_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.25 apply (zenon_L779_); trivial. % 1.11/1.25 apply (zenon_L517_); trivial. % 1.11/1.25 apply (zenon_L798_); trivial. % 1.11/1.25 (* end of lemma zenon_L923_ *) % 1.11/1.25 assert (zenon_L924_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H199 zenon_H19b zenon_He0 zenon_H106 zenon_H14c zenon_H166 zenon_H1b9 zenon_Hf6 zenon_H141 zenon_H72 zenon_H47 zenon_Ha1 zenon_H38 zenon_H11a zenon_H285 zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_Hf5 zenon_H111 zenon_H151. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L922_); trivial. % 1.11/1.25 apply (zenon_L222_); trivial. % 1.11/1.25 apply (zenon_L50_); trivial. % 1.11/1.25 apply (zenon_L54_); trivial. % 1.11/1.25 apply (zenon_L124_); trivial. % 1.11/1.25 apply (zenon_L804_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L922_); trivial. % 1.11/1.25 apply (zenon_L519_); trivial. % 1.11/1.25 apply (zenon_L50_); trivial. % 1.11/1.25 apply (zenon_L54_); trivial. % 1.11/1.25 apply (zenon_L124_); trivial. % 1.11/1.25 apply (zenon_L120_); trivial. % 1.11/1.25 apply (zenon_L125_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_L885_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L923_); trivial. % 1.11/1.25 apply (zenon_L519_); trivial. % 1.11/1.25 apply (zenon_L50_); trivial. % 1.11/1.25 apply (zenon_L54_); trivial. % 1.11/1.25 apply (zenon_L100_); trivial. % 1.11/1.25 apply (zenon_L120_); trivial. % 1.11/1.25 apply (zenon_L125_); trivial. % 1.11/1.25 (* end of lemma zenon_L924_ *) % 1.11/1.25 assert (zenon_L925_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H20e zenon_H14c zenon_H166 zenon_H285 zenon_H271 zenon_H270 zenon_H19b zenon_H141 zenon_H85 zenon_H138 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H121 zenon_H11f zenon_H11a zenon_H111 zenon_H127 zenon_H83 zenon_H5 zenon_H7 zenon_H151 zenon_H87 zenon_H19a. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.25 apply (zenon_L921_); trivial. % 1.11/1.25 apply (zenon_L924_); trivial. % 1.11/1.25 (* end of lemma zenon_L925_ *) % 1.11/1.25 assert (zenon_L926_ : ((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hc1 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L817_); trivial. % 1.11/1.25 apply (zenon_L507_); trivial. % 1.11/1.25 (* end of lemma zenon_L926_ *) % 1.11/1.25 assert (zenon_L927_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hc4 zenon_H138 zenon_H85 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38 zenon_H283 zenon_H2d zenon_H270 zenon_H271 zenon_H57 zenon_H5a zenon_H178 zenon_H17a zenon_H5f zenon_H188. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L812_); trivial. % 1.11/1.25 apply (zenon_L467_); trivial. % 1.11/1.25 apply (zenon_L926_); trivial. % 1.11/1.25 (* end of lemma zenon_L927_ *) % 1.11/1.25 assert (zenon_L928_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H185 zenon_Hae zenon_H283 zenon_H2d zenon_H38 zenon_H121 zenon_H11f zenon_H17 zenon_H8b zenon_H11a zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H14c zenon_H77 zenon_H76 zenon_H74 zenon_H1aa zenon_H19f zenon_H19e zenon_H5 zenon_H127 zenon_Ha1. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.25 apply (zenon_L253_); trivial. % 1.11/1.25 apply (zenon_L813_); trivial. % 1.11/1.25 (* end of lemma zenon_L928_ *) % 1.11/1.25 assert (zenon_L929_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H151 zenon_H106 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H1aa zenon_H14c zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H5a zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H85 zenon_H138 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_L151_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_L927_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L282_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L812_); trivial. % 1.11/1.25 apply (zenon_L928_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L817_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.25 apply (zenon_L392_); trivial. % 1.11/1.25 apply (zenon_L813_); trivial. % 1.11/1.25 (* end of lemma zenon_L929_ *) % 1.11/1.25 assert (zenon_L930_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2))/\((c1_1 (a2))/\(c2_1 (a2)))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp18)\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c3_1 (a65))/\((~(c1_1 (a65)))/\(~(c2_1 (a65))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a33))/\((c2_1 (a33))/\(~(c3_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_Hf5 zenon_H72 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_H5f zenon_H111 zenon_H1d6 zenon_H1c8 zenon_He0 zenon_H1bf zenon_H1b1 zenon_H1ec zenon_H162 zenon_H202 zenon_H1bd zenon_H1bb zenon_H201 zenon_Hf6 zenon_H38 zenon_Hc0 zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.25 apply (zenon_L220_); trivial. % 1.11/1.25 apply (zenon_L824_); trivial. % 1.11/1.25 (* end of lemma zenon_L930_ *) % 1.11/1.25 assert (zenon_L931_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H3 zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.25 apply (zenon_L779_); trivial. % 1.11/1.25 apply (zenon_L484_); trivial. % 1.11/1.25 (* end of lemma zenon_L931_ *) % 1.11/1.25 assert (zenon_L932_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H57 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5f. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.25 apply (zenon_L931_); trivial. % 1.11/1.25 apply (zenon_L875_); trivial. % 1.11/1.25 apply (zenon_L467_); trivial. % 1.11/1.25 (* end of lemma zenon_L932_ *) % 1.11/1.25 assert (zenon_L933_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hf5 zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H57 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H11a zenon_H17 zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L86_); trivial. % 1.11/1.25 apply (zenon_L932_); trivial. % 1.11/1.25 (* end of lemma zenon_L933_ *) % 1.11/1.25 assert (zenon_L934_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_H2b zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L457_); trivial. % 1.11/1.25 apply (zenon_L786_); trivial. % 1.11/1.25 (* end of lemma zenon_L934_ *) % 1.11/1.25 assert (zenon_L935_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hab zenon_H38 zenon_H5e zenon_H1b1 zenon_H2b zenon_H3 zenon_H49 zenon_H3a zenon_H3b zenon_H3c zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.25 apply (zenon_L243_); trivial. % 1.11/1.25 apply (zenon_L354_); trivial. % 1.11/1.25 (* end of lemma zenon_L935_ *) % 1.11/1.25 assert (zenon_L936_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H6d zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H8b zenon_H8d zenon_H5e zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H74 zenon_H77 zenon_H2b zenon_H14a zenon_H38. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L785_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.25 apply (zenon_L42_); trivial. % 1.11/1.25 apply (zenon_L935_); trivial. % 1.11/1.25 apply (zenon_L137_); trivial. % 1.11/1.25 (* end of lemma zenon_L936_ *) % 1.11/1.25 assert (zenon_L937_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H106 zenon_H1b1 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_L934_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L457_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.25 apply (zenon_L454_); trivial. % 1.11/1.25 apply (zenon_L936_); trivial. % 1.11/1.25 apply (zenon_L54_); trivial. % 1.11/1.25 (* end of lemma zenon_L937_ *) % 1.11/1.25 assert (zenon_L938_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H5f zenon_H17 zenon_H19 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L785_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.25 apply (zenon_L466_); trivial. % 1.11/1.25 apply (zenon_L113_); trivial. % 1.11/1.25 (* end of lemma zenon_L938_ *) % 1.11/1.25 assert (zenon_L939_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H185 zenon_H5f zenon_H38 zenon_H14a zenon_H77 zenon_H74 zenon_H76 zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H2b zenon_H8b zenon_H8d zenon_H5e zenon_H3a zenon_H3b zenon_H3c zenon_H1b9 zenon_H1b1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.25 apply (zenon_L791_); trivial. % 1.11/1.25 apply (zenon_L113_); trivial. % 1.11/1.25 (* end of lemma zenon_L939_ *) % 1.11/1.25 assert (zenon_L940_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H6d zenon_H188 zenon_H5f zenon_H17 zenon_H19 zenon_Ha1 zenon_H9d zenon_H9a zenon_H49 zenon_H8b zenon_H8d zenon_H5e zenon_H1b9 zenon_H1b1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H74 zenon_H77 zenon_H2b zenon_H14a zenon_H38. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L785_); trivial. % 1.11/1.25 apply (zenon_L939_); trivial. % 1.11/1.25 (* end of lemma zenon_L940_ *) % 1.11/1.25 assert (zenon_L941_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp21)) -> False). % 1.11/1.25 do 0 intro. intros zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H205 zenon_H204 zenon_H203 zenon_H32 zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H1. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 1.11/1.25 apply (zenon_L145_); trivial. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 1.11/1.25 apply (zenon_L237_); trivial. % 1.11/1.25 apply (zenon_L472_); trivial. % 1.11/1.25 (* end of lemma zenon_L941_ *) % 1.11/1.25 assert (zenon_L942_ : ((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_He4 zenon_H72 zenon_H6e zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H1bd. % 1.11/1.25 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.25 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.25 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.25 apply (zenon_L941_); trivial. % 1.11/1.25 apply (zenon_L28_); trivial. % 1.11/1.25 (* end of lemma zenon_L942_ *) % 1.11/1.25 assert (zenon_L943_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.11/1.25 do 0 intro. intros zenon_H14e zenon_Hf6 zenon_H72 zenon_H6e zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H1bd zenon_H111. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.25 apply (zenon_L79_); trivial. % 1.11/1.25 apply (zenon_L942_); trivial. % 1.11/1.25 (* end of lemma zenon_L943_ *) % 1.11/1.25 assert (zenon_L944_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf6 zenon_H6e zenon_H18d zenon_H18e zenon_H18f zenon_H1bd zenon_H111 zenon_H72 zenon_H1bb zenon_H205 zenon_H204 zenon_H203 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_L491_); trivial. % 1.11/1.25 apply (zenon_L943_); trivial. % 1.11/1.25 (* end of lemma zenon_L944_ *) % 1.11/1.25 assert (zenon_L945_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H19a zenon_H19b zenon_H1bb zenon_H121 zenon_H11f zenon_H1b9 zenon_H283 zenon_H2d zenon_H19 zenon_H1bd zenon_H106 zenon_H1b1 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H166 zenon_H151. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_L937_); trivial. % 1.11/1.25 apply (zenon_L461_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L457_); trivial. % 1.11/1.25 apply (zenon_L938_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L457_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.25 apply (zenon_L454_); trivial. % 1.11/1.25 apply (zenon_L940_); trivial. % 1.11/1.25 apply (zenon_L219_); trivial. % 1.11/1.25 apply (zenon_L943_); trivial. % 1.11/1.25 apply (zenon_L944_); trivial. % 1.11/1.25 (* end of lemma zenon_L945_ *) % 1.11/1.25 assert (zenon_L946_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H2b zenon_H14a zenon_H38 zenon_H72 zenon_H47 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L242_); trivial. % 1.11/1.25 apply (zenon_L786_); trivial. % 1.11/1.25 (* end of lemma zenon_L946_ *) % 1.11/1.25 assert (zenon_L947_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H151 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H72 zenon_H47 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6 zenon_H6e zenon_H14c zenon_H106. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_L946_); trivial. % 1.11/1.25 apply (zenon_L245_); trivial. % 1.11/1.25 apply (zenon_L125_); trivial. % 1.11/1.25 (* end of lemma zenon_L947_ *) % 1.11/1.25 assert (zenon_L948_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H199 zenon_H19a zenon_H19b zenon_H1bb zenon_H283 zenon_H2d zenon_H270 zenon_H271 zenon_H19 zenon_H1bd zenon_H32 zenon_H106 zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.25 apply (zenon_L947_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L242_); trivial. % 1.11/1.25 apply (zenon_L938_); trivial. % 1.11/1.25 apply (zenon_L245_); trivial. % 1.11/1.25 apply (zenon_L943_); trivial. % 1.11/1.25 apply (zenon_L246_); trivial. % 1.11/1.25 (* end of lemma zenon_L948_ *) % 1.11/1.25 assert (zenon_L949_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H20e zenon_H141 zenon_H20c zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_H106 zenon_H1bd zenon_H19 zenon_H2d zenon_H283 zenon_H1b9 zenon_H11f zenon_H121 zenon_H1bb zenon_H19b zenon_H19a. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.25 apply (zenon_L945_); trivial. % 1.11/1.25 apply (zenon_L948_); trivial. % 1.11/1.25 (* end of lemma zenon_L949_ *) % 1.11/1.25 assert (zenon_L950_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hc4 zenon_Hae zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H11a zenon_H17 zenon_H19f zenon_H19e zenon_H11f zenon_H121 zenon_H38 zenon_H283 zenon_H2d zenon_H270 zenon_H271 zenon_H57 zenon_H5a zenon_H178 zenon_H17a zenon_H5f zenon_H188. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L835_); trivial. % 1.11/1.25 apply (zenon_L467_); trivial. % 1.11/1.25 apply (zenon_L260_); trivial. % 1.11/1.25 (* end of lemma zenon_L950_ *) % 1.11/1.25 assert (zenon_L951_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H196 zenon_H19b zenon_H72 zenon_H1bb zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.25 apply (zenon_L220_); trivial. % 1.11/1.25 apply (zenon_L264_); trivial. % 1.11/1.25 (* end of lemma zenon_L951_ *) % 1.11/1.25 assert (zenon_L952_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H19a zenon_H151 zenon_H106 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H188 zenon_H5f zenon_H17a zenon_H5a zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_Hae zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H11a zenon_Hc4 zenon_H83 zenon_H7 zenon_H1bb zenon_H72 zenon_H19b. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_L151_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_L950_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L282_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.25 apply (zenon_L835_); trivial. % 1.11/1.25 apply (zenon_L928_); trivial. % 1.11/1.25 apply (zenon_L260_); trivial. % 1.11/1.25 apply (zenon_L264_); trivial. % 1.11/1.25 apply (zenon_L951_); trivial. % 1.11/1.25 (* end of lemma zenon_L952_ *) % 1.11/1.25 assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H196 zenon_H19b zenon_H72 zenon_H1bb zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.25 apply (zenon_L220_); trivial. % 1.11/1.25 apply (zenon_L246_); trivial. % 1.11/1.25 (* end of lemma zenon_L953_ *) % 1.11/1.25 assert (zenon_L954_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_L934_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L457_); trivial. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.25 apply (zenon_L454_); trivial. % 1.11/1.25 apply (zenon_L793_); trivial. % 1.11/1.25 apply (zenon_L54_); trivial. % 1.11/1.25 (* end of lemma zenon_L954_ *) % 1.11/1.25 assert (zenon_L955_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H19a zenon_H87 zenon_H85 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H166 zenon_H151. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.25 apply (zenon_L954_); trivial. % 1.11/1.25 apply (zenon_L461_); trivial. % 1.11/1.25 apply (zenon_L147_); trivial. % 1.11/1.25 (* end of lemma zenon_L955_ *) % 1.11/1.25 assert (zenon_L956_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H20e zenon_H19b zenon_He0 zenon_H14c zenon_H141 zenon_H11a zenon_H285 zenon_H138 zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H85 zenon_H87 zenon_H19a. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.25 apply (zenon_L955_); trivial. % 1.11/1.25 apply (zenon_L924_); trivial. % 1.11/1.25 (* end of lemma zenon_L956_ *) % 1.11/1.25 assert (zenon_L957_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_Hf5 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H57 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6. % 1.11/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.25 apply (zenon_L838_); trivial. % 1.11/1.25 apply (zenon_L932_); trivial. % 1.11/1.25 (* end of lemma zenon_L957_ *) % 1.11/1.25 assert (zenon_L958_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H106 zenon_H72 zenon_Hf0 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_Hd3 zenon_He5 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H5a zenon_H1b1 zenon_H270 zenon_H271 zenon_Hd1 zenon_H24b zenon_H283 zenon_H2d zenon_H178 zenon_H17a zenon_Hf5. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.25 apply (zenon_L957_); trivial. % 1.11/1.25 apply (zenon_L297_); trivial. % 1.11/1.25 (* end of lemma zenon_L958_ *) % 1.11/1.25 assert (zenon_L959_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H38 zenon_H236 zenon_H234 zenon_H5a zenon_H3 zenon_H57 zenon_H271 zenon_H270 zenon_H109 zenon_H10a zenon_H108 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.25 apply (zenon_L779_); trivial. % 1.11/1.25 apply (zenon_L505_); trivial. % 1.11/1.25 (* end of lemma zenon_L959_ *) % 1.11/1.25 assert (zenon_L960_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.25 do 0 intro. intros zenon_H168 zenon_H106 zenon_Hf5 zenon_H72 zenon_H1b9 zenon_H1bb zenon_H22b zenon_H24b zenon_H24d zenon_H14c zenon_H238 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H111 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H5f zenon_H17 zenon_H19 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H108 zenon_H10a zenon_H109 zenon_H270 zenon_H271 zenon_H5a zenon_H234 zenon_H236 zenon_H38 zenon_H283 zenon_H2d zenon_H85 zenon_H138 zenon_H188. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.25 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.25 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.26 apply (zenon_L959_); trivial. % 1.11/1.26 apply (zenon_L294_); trivial. % 1.11/1.26 apply (zenon_L507_); trivial. % 1.11/1.26 apply (zenon_L309_); trivial. % 1.11/1.26 (* end of lemma zenon_L960_ *) % 1.11/1.26 assert (zenon_L961_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H5f zenon_H162 zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H66 zenon_H65 zenon_H64 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H1ec zenon_H212 zenon_H211 zenon_H210 zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H108 zenon_H10a zenon_H109 zenon_H270 zenon_H271 zenon_H57 zenon_H5a zenon_H234 zenon_H236 zenon_H38. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.26 apply (zenon_L959_); trivial. % 1.11/1.26 apply (zenon_L857_); trivial. % 1.11/1.26 (* end of lemma zenon_L961_ *) % 1.11/1.26 assert (zenon_L962_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (c3_1 (a26)) -> (~(c0_1 (a26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H38 zenon_H238 zenon_H2d zenon_H1b9 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H22b zenon_H24b zenon_Hfa zenon_Hf8 zenon_H14c zenon_H24d zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_L282_); trivial. % 1.11/1.26 apply (zenon_L858_); trivial. % 1.11/1.26 (* end of lemma zenon_L962_ *) % 1.11/1.26 assert (zenon_L963_ : ((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H168 zenon_H106 zenon_Hd3 zenon_He5 zenon_Hf6 zenon_H188 zenon_H138 zenon_H85 zenon_H2d zenon_H283 zenon_H38 zenon_H236 zenon_H234 zenon_H5a zenon_H271 zenon_H270 zenon_H1b1 zenon_H159 zenon_H15a zenon_H15b zenon_H210 zenon_H211 zenon_H212 zenon_H1ec zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H162 zenon_H5f zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H1bb zenon_H24d zenon_H14c zenon_Hd1 zenon_H24b zenon_H22b zenon_H1b9 zenon_H238 zenon_H72 zenon_Hf5. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.26 apply (zenon_L79_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.26 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.26 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_L961_); trivial. % 1.11/1.26 apply (zenon_L507_); trivial. % 1.11/1.26 apply (zenon_L858_); trivial. % 1.11/1.26 apply (zenon_L962_); trivial. % 1.11/1.26 (* end of lemma zenon_L963_ *) % 1.11/1.26 assert (zenon_L964_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp24)) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c2_1 (a24))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H38 zenon_H24b zenon_Hd1 zenon_H5a zenon_H3 zenon_H57 zenon_H271 zenon_H270 zenon_H1b1 zenon_H18d zenon_H18e zenon_H18f zenon_H74 zenon_H76 zenon_H77 zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H19f zenon_H19e zenon_H108 zenon_H10a zenon_H109 zenon_H1bd zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.26 apply (zenon_L779_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H123 | zenon_intro zenon_H24c ]. % 1.11/1.26 apply (zenon_L879_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd2 ]. % 1.11/1.26 apply (zenon_L483_); trivial. % 1.11/1.26 exact (zenon_Hd1 zenon_Hd2). % 1.11/1.26 (* end of lemma zenon_L964_ *) % 1.11/1.26 assert (zenon_L965_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hf5 zenon_H138 zenon_H85 zenon_H2d zenon_H283 zenon_H24b zenon_Hd1 zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H1b1 zenon_H18d zenon_H18e zenon_H18f zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_Hb4 zenon_Hb2 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_L838_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.26 apply (zenon_L964_); trivial. % 1.11/1.26 apply (zenon_L883_); trivial. % 1.11/1.26 apply (zenon_L507_); trivial. % 1.11/1.26 (* end of lemma zenon_L965_ *) % 1.11/1.26 assert (zenon_L966_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H106 zenon_H72 zenon_Hf0 zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_Ha1 zenon_Hd3 zenon_He5 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H18f zenon_H18e zenon_H18d zenon_H1b1 zenon_H270 zenon_H271 zenon_H5a zenon_Hd1 zenon_H24b zenon_H283 zenon_H2d zenon_H85 zenon_H138 zenon_Hf5. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_L965_); trivial. % 1.11/1.26 apply (zenon_L297_); trivial. % 1.11/1.26 (* end of lemma zenon_L966_ *) % 1.11/1.26 assert (zenon_L967_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H20e zenon_H19a zenon_H19b zenon_H1bb zenon_H283 zenon_H2d zenon_H19 zenon_H1bd zenon_H106 zenon_H14c zenon_H141 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.26 apply (zenon_L497_); trivial. % 1.11/1.26 apply (zenon_L948_); trivial. % 1.11/1.26 (* end of lemma zenon_L967_ *) % 1.11/1.26 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H185 zenon_H5f zenon_H38 zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H5a zenon_H57 zenon_H271 zenon_H270 zenon_H2d zenon_H283. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.26 apply (zenon_L466_); trivial. % 1.11/1.26 apply (zenon_L328_); trivial. % 1.11/1.26 (* end of lemma zenon_L968_ *) % 1.11/1.26 assert (zenon_L969_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H1bb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.26 apply (zenon_L240_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_L840_); trivial. % 1.11/1.26 apply (zenon_L968_); trivial. % 1.11/1.26 (* end of lemma zenon_L969_ *) % 1.11/1.26 assert (zenon_L970_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H5a zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H85 zenon_H138 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_L151_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_L927_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 (* end of lemma zenon_L970_ *) % 1.11/1.26 assert (zenon_L971_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H17a zenon_H178 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H121 zenon_H11f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H38 zenon_H5f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_L915_); trivial. % 1.11/1.26 apply (zenon_L467_); trivial. % 1.11/1.26 (* end of lemma zenon_L971_ *) % 1.11/1.26 assert (zenon_L972_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H14e zenon_H189 zenon_H1ec zenon_Hf5 zenon_H17a zenon_H178 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H121 zenon_H11f zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1bd zenon_H5a zenon_H1b1 zenon_H5f zenon_H111 zenon_H38 zenon_Hb4 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H1b9 zenon_H188 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_L838_); trivial. % 1.11/1.26 apply (zenon_L971_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_L868_); trivial. % 1.11/1.26 apply (zenon_L971_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 (* end of lemma zenon_L972_ *) % 1.11/1.26 assert (zenon_L973_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H18a zenon_H151 zenon_H189 zenon_H1ec zenon_Hf5 zenon_H17a zenon_H178 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H5a zenon_H1b1 zenon_H5f zenon_H111 zenon_Hb4 zenon_He0 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_L820_); trivial. % 1.11/1.26 apply (zenon_L972_); trivial. % 1.11/1.26 (* end of lemma zenon_L973_ *) % 1.11/1.26 assert (zenon_L974_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H5a zenon_H1b1 zenon_H270 zenon_H271 zenon_Hd1 zenon_H24b zenon_H283 zenon_H2d zenon_H178 zenon_H17a zenon_Hf5. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_L957_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 (* end of lemma zenon_L974_ *) % 1.11/1.26 assert (zenon_L975_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_H17a zenon_H178 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H24d zenon_H1bd zenon_H19e zenon_H19f zenon_H1aa zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_Hf8 zenon_Hfa zenon_Hd1 zenon_H24b zenon_H254 zenon_H253 zenon_H252 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H1b1 zenon_H5f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_L873_); trivial. % 1.11/1.26 apply (zenon_L467_); trivial. % 1.11/1.26 (* end of lemma zenon_L975_ *) % 1.11/1.26 assert (zenon_L976_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H18a zenon_H151 zenon_H189 zenon_H14c zenon_Hf5 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1bd zenon_H5f zenon_H111 zenon_Hb4 zenon_He0 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_L820_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.26 apply (zenon_L974_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_L868_); trivial. % 1.11/1.26 apply (zenon_L975_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 (* end of lemma zenon_L976_ *) % 1.11/1.26 assert (zenon_L977_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H19b zenon_H189 zenon_H14c zenon_Hb4 zenon_H14a zenon_H1b9 zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf5 zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H38 zenon_H24b zenon_Hd1 zenon_H271 zenon_H270 zenon_H1b1 zenon_H5a zenon_H162 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H1aa zenon_H1bd zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H151. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_L151_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_L933_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 apply (zenon_L976_); trivial. % 1.11/1.26 (* end of lemma zenon_L977_ *) % 1.11/1.26 assert (zenon_L978_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H5a zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H9a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_Hae zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_L151_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_L950_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 (* end of lemma zenon_L978_ *) % 1.11/1.26 assert (zenon_L979_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp4))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Hb2 zenon_Hb4 zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111 zenon_H5f zenon_H1bd zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H162 zenon_H18f zenon_H18e zenon_H18d zenon_H1b1 zenon_H270 zenon_H271 zenon_H5a zenon_Hd1 zenon_H24b zenon_H283 zenon_H2d zenon_H85 zenon_H138 zenon_Hf5. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_L965_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 (* end of lemma zenon_L979_ *) % 1.11/1.26 assert (zenon_L980_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a30)) -> (c2_1 (a30)) -> (~(c1_1 (a30))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H6d zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_Hf8 zenon_Hfa zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_He0 zenon_H43 zenon_H10a zenon_H109 zenon_H108 zenon_H66 zenon_H65 zenon_H64 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H24d zenon_H38. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.26 apply (zenon_L779_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.11/1.26 apply (zenon_L331_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.11/1.26 apply (zenon_L860_); trivial. % 1.11/1.26 apply (zenon_L78_); trivial. % 1.11/1.26 apply (zenon_L207_); trivial. % 1.11/1.26 (* end of lemma zenon_L980_ *) % 1.11/1.26 assert (zenon_L981_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (~(c0_1 (a28))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False). % 1.11/1.26 do 0 intro. intros zenon_H1b9 zenon_Hc8 zenon_Hc7 zenon_H63 zenon_Hc6 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H17c zenon_H17d zenon_H17e. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.11/1.26 apply (zenon_L103_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.11/1.26 apply (zenon_L386_); trivial. % 1.11/1.26 apply (zenon_L136_); trivial. % 1.11/1.26 (* end of lemma zenon_L981_ *) % 1.11/1.26 assert (zenon_L982_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> False). % 1.11/1.26 do 0 intro. intros zenon_H185 zenon_H6e zenon_H3c zenon_H3b zenon_H3a zenon_H263 zenon_H264 zenon_H265 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b9 zenon_H2f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ]. % 1.11/1.26 apply (zenon_L17_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 1.11/1.26 apply (zenon_L981_); trivial. % 1.11/1.26 exact (zenon_H2f zenon_H30). % 1.11/1.26 (* end of lemma zenon_L982_ *) % 1.11/1.26 assert (zenon_L983_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H6d zenon_H188 zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H76 zenon_H74 zenon_H77 zenon_H2b zenon_H14a zenon_H38. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_L785_); trivial. % 1.11/1.26 apply (zenon_L982_); trivial. % 1.11/1.26 (* end of lemma zenon_L983_ *) % 1.11/1.26 assert (zenon_L984_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H106 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_H2b zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_Hf5. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_L457_); trivial. % 1.11/1.26 apply (zenon_L804_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_L457_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.26 apply (zenon_L454_); trivial. % 1.11/1.26 apply (zenon_L983_); trivial. % 1.11/1.26 apply (zenon_L54_); trivial. % 1.11/1.26 (* end of lemma zenon_L984_ *) % 1.11/1.26 assert (zenon_L985_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H106. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_L984_); trivial. % 1.11/1.26 apply (zenon_L461_); trivial. % 1.11/1.26 (* end of lemma zenon_L985_ *) % 1.11/1.26 assert (zenon_L986_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H20e zenon_H19b zenon_He0 zenon_H14c zenon_H141 zenon_H11a zenon_H285 zenon_H1b1 zenon_H106 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H166 zenon_H151. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.26 apply (zenon_L985_); trivial. % 1.11/1.26 apply (zenon_L924_); trivial. % 1.11/1.26 (* end of lemma zenon_L986_ *) % 1.11/1.26 assert (zenon_L987_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a20)) -> (c2_1 (a20)) -> (c0_1 (a20)) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp14)) -> (~(hskp24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 1.11/1.26 do 0 intro. intros zenon_H162 zenon_H1e zenon_H1d zenon_H26 zenon_H109 zenon_H10a zenon_H108 zenon_H5a zenon_H271 zenon_H270 zenon_H57 zenon_H3 zenon_H1b1 zenon_H39 zenon_Ha zenon_H19e zenon_H19f zenon_H1aa. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb | zenon_intro zenon_H163 ]. % 1.11/1.26 apply (zenon_L483_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H142 | zenon_intro zenon_H1b ]. % 1.11/1.26 apply (zenon_L152_); trivial. % 1.11/1.26 apply (zenon_L173_); trivial. % 1.11/1.26 (* end of lemma zenon_L987_ *) % 1.11/1.26 assert (zenon_L988_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H188 zenon_H17a zenon_H178 zenon_H2d zenon_H283 zenon_H38 zenon_H22b zenon_H1b1 zenon_H270 zenon_H271 zenon_H162 zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5f. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.26 apply (zenon_L779_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.11/1.26 apply (zenon_L419_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.11/1.26 apply (zenon_L164_); trivial. % 1.11/1.26 apply (zenon_L987_); trivial. % 1.11/1.26 apply (zenon_L903_); trivial. % 1.11/1.26 apply (zenon_L467_); trivial. % 1.11/1.26 (* end of lemma zenon_L988_ *) % 1.11/1.26 assert (zenon_L989_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> False). % 1.11/1.26 do 0 intro. intros zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H77 zenon_H76 zenon_H74 zenon_H23a zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.11/1.26 apply (zenon_L419_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.11/1.26 apply (zenon_L302_); trivial. % 1.11/1.26 apply (zenon_L17_); trivial. % 1.11/1.26 (* end of lemma zenon_L989_ *) % 1.11/1.26 assert (zenon_L990_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H24d zenon_H10a zenon_H109 zenon_H108 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H22b zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.26 apply (zenon_L155_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.11/1.26 apply (zenon_L989_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.11/1.26 apply (zenon_L56_); trivial. % 1.11/1.26 apply (zenon_L78_); trivial. % 1.11/1.26 (* end of lemma zenon_L990_ *) % 1.11/1.26 assert (zenon_L991_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a15))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H24d zenon_H1bb zenon_H159 zenon_H15b zenon_H15a zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_H188 zenon_H138 zenon_H85 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H162 zenon_H1b1 zenon_H22b zenon_H38 zenon_H5f zenon_He0 zenon_H72 zenon_Hf6. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_L905_); trivial. % 1.11/1.26 apply (zenon_L990_); trivial. % 1.11/1.26 (* end of lemma zenon_L991_ *) % 1.11/1.26 assert (zenon_L992_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H6d zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H18f zenon_H18e zenon_H18d. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.11/1.26 apply (zenon_L419_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.11/1.26 apply (zenon_L145_); trivial. % 1.11/1.26 apply (zenon_L17_); trivial. % 1.11/1.26 (* end of lemma zenon_L992_ *) % 1.11/1.26 assert (zenon_L993_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H14e zenon_H72 zenon_H18f zenon_H18e zenon_H18d zenon_H5f zenon_H38 zenon_H22b zenon_H1b1 zenon_H162 zenon_H19e zenon_H19f zenon_H1aa zenon_H263 zenon_H264 zenon_H265 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_H85 zenon_H138 zenon_H188. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.26 apply (zenon_L904_); trivial. % 1.11/1.26 apply (zenon_L992_); trivial. % 1.11/1.26 (* end of lemma zenon_L993_ *) % 1.11/1.26 assert (zenon_L994_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H196 zenon_H19b zenon_H14a zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_H188 zenon_H138 zenon_H85 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H162 zenon_H1b1 zenon_H22b zenon_H38 zenon_H5f zenon_H72 zenon_H151. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_L151_); trivial. % 1.11/1.26 apply (zenon_L993_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_L893_); trivial. % 1.11/1.26 apply (zenon_L993_); trivial. % 1.11/1.26 (* end of lemma zenon_L994_ *) % 1.11/1.26 assert (zenon_L995_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H17 zenon_H11a zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_H166 zenon_H38 zenon_Hf6. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.26 apply (zenon_L411_); trivial. % 1.11/1.26 apply (zenon_L460_); trivial. % 1.11/1.26 apply (zenon_L281_); trivial. % 1.11/1.26 (* end of lemma zenon_L995_ *) % 1.11/1.26 assert (zenon_L996_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H19b zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.26 apply (zenon_L995_); trivial. % 1.11/1.26 apply (zenon_L324_); trivial. % 1.11/1.26 (* end of lemma zenon_L996_ *) % 1.11/1.26 assert (zenon_L997_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H26c zenon_H26d zenon_Hf0 zenon_Hb4 zenon_H14c zenon_H162 zenon_H24d zenon_H189 zenon_He0 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H1b1 zenon_H22b zenon_H188 zenon_H19b zenon_H1bb zenon_H20c zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5 zenon_H151 zenon_H141 zenon_H111 zenon_Hc0 zenon_H20e. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.26 apply (zenon_L996_); trivial. % 1.11/1.26 apply (zenon_L434_); trivial. % 1.11/1.26 apply (zenon_L912_); trivial. % 1.11/1.26 (* end of lemma zenon_L997_ *) % 1.11/1.26 assert (zenon_L998_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H5f zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H5a zenon_H162 zenon_H271 zenon_H270 zenon_H1b1 zenon_H22b zenon_H38 zenon_H283 zenon_H2d zenon_H178 zenon_H17a zenon_H188. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_L988_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 (* end of lemma zenon_L998_ *) % 1.11/1.26 assert (zenon_L999_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> False). % 1.11/1.26 do 0 intro. intros zenon_H60 zenon_H22b zenon_H212 zenon_H211 zenon_H210 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H18f zenon_H18e zenon_H18d zenon_H162 zenon_H19e zenon_H19f zenon_H1aa. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.11/1.26 apply (zenon_L419_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.11/1.26 apply (zenon_L145_); trivial. % 1.11/1.26 apply (zenon_L427_); trivial. % 1.11/1.26 (* end of lemma zenon_L999_ *) % 1.11/1.26 assert (zenon_L1000_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H5f zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H18d zenon_H18e zenon_H18f zenon_H162 zenon_H5a zenon_H271 zenon_H270 zenon_H1b1 zenon_H22b zenon_H38 zenon_H188. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.26 apply (zenon_L779_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.11/1.26 apply (zenon_L419_); trivial. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.11/1.26 apply (zenon_L145_); trivial. % 1.11/1.26 apply (zenon_L987_); trivial. % 1.11/1.26 apply (zenon_L999_); trivial. % 1.11/1.26 apply (zenon_L556_); trivial. % 1.11/1.26 apply (zenon_L332_); trivial. % 1.11/1.26 (* end of lemma zenon_L1000_ *) % 1.11/1.26 assert (zenon_L1001_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp21))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/((hskp15)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp3)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp3)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H151 zenon_H6e zenon_Hee zenon_Hae zenon_H111 zenon_H11a zenon_He0 zenon_H11f zenon_H121 zenon_H106 zenon_H14c zenon_H166 zenon_Hc4 zenon_Hc0 zenon_H138 zenon_H85 zenon_H8d zenon_H1b9 zenon_Ha1 zenon_H32 zenon_H162 zenon_Hf6 zenon_H141 zenon_H2f zenon_H188 zenon_H17a zenon_H5a zenon_H38 zenon_H5e zenon_H285 zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19 zenon_Hb4 zenon_H5f zenon_H47 zenon_H72 zenon_H14a zenon_Hf5 zenon_He5 zenon_H101 zenon_Hd3 zenon_Hd1 zenon_H28a zenon_H289 zenon_Hec zenon_H295 zenon_H189 zenon_H16e zenon_H19b. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.26 apply (zenon_L805_); trivial. % 1.11/1.26 apply (zenon_L49_); trivial. % 1.11/1.26 apply (zenon_L180_); trivial. % 1.11/1.26 apply (zenon_L50_); trivial. % 1.11/1.26 apply (zenon_L124_); trivial. % 1.11/1.26 apply (zenon_L786_); trivial. % 1.11/1.26 apply (zenon_L806_); trivial. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.26 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.26 apply (zenon_L573_); trivial. % 1.11/1.26 apply (zenon_L806_); trivial. % 1.11/1.26 apply (zenon_L389_); trivial. % 1.11/1.26 apply (zenon_L808_); trivial. % 1.11/1.26 apply (zenon_L147_); trivial. % 1.11/1.26 (* end of lemma zenon_L1001_ *) % 1.11/1.26 assert (zenon_L1002_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.26 do 0 intro. intros zenon_H38 zenon_H22b zenon_H3c zenon_H3b zenon_H3a zenon_H9d zenon_H9a zenon_H98 zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.26 apply (zenon_L779_); trivial. % 1.11/1.26 apply (zenon_L613_); trivial. % 1.11/1.26 (* end of lemma zenon_L1002_ *) % 1.11/1.26 assert (zenon_L1003_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hab zenon_H38 zenon_H22b zenon_H3c zenon_H3b zenon_H3a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.11/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.26 apply (zenon_L779_); trivial. % 1.11/1.26 apply (zenon_L615_); trivial. % 1.11/1.26 (* end of lemma zenon_L1003_ *) % 1.11/1.26 assert (zenon_L1004_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hae zenon_H176 zenon_H174 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H289 zenon_H297 zenon_H28a zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H9a zenon_H9d zenon_H3a zenon_H3b zenon_H3c zenon_H22b zenon_H38. % 1.11/1.26 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.26 apply (zenon_L1002_); trivial. % 1.11/1.26 apply (zenon_L1003_); trivial. % 1.11/1.26 (* end of lemma zenon_L1004_ *) % 1.11/1.26 assert (zenon_L1005_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.26 do 0 intro. intros zenon_Hab zenon_Ha1 zenon_H17c zenon_H17d zenon_H17e zenon_H1b9 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H289 zenon_H297 zenon_H28a zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H3a zenon_H3b zenon_H3c zenon_H22b zenon_H38. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.11/1.26 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.11/1.27 apply (zenon_L659_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20f | zenon_intro zenon_H22c ]. % 1.11/1.27 apply (zenon_L576_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H75 | zenon_intro zenon_H39 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.11/1.27 apply (zenon_L152_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H25 | zenon_intro zenon_H1b2 ]. % 1.11/1.27 apply (zenon_L43_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H4d | zenon_intro zenon_Haf ]. % 1.11/1.27 apply (zenon_L160_); trivial. % 1.11/1.27 apply (zenon_L110_); trivial. % 1.11/1.27 apply (zenon_L136_); trivial. % 1.11/1.27 apply (zenon_L17_); trivial. % 1.11/1.27 (* end of lemma zenon_L1005_ *) % 1.11/1.27 assert (zenon_L1006_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H1b9 zenon_H14c zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_L155_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.27 apply (zenon_L1004_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.27 apply (zenon_L614_); trivial. % 1.11/1.27 apply (zenon_L1005_); trivial. % 1.11/1.27 (* end of lemma zenon_L1006_ *) % 1.11/1.27 assert (zenon_L1007_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H151 zenon_Hf5 zenon_H72 zenon_H188 zenon_H1b9 zenon_H14c zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_Ha zenon_H19e zenon_H19f zenon_H17 zenon_H11a zenon_Hc4. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L151_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.27 apply (zenon_L86_); trivial. % 1.11/1.27 apply (zenon_L1006_); trivial. % 1.11/1.27 (* end of lemma zenon_L1007_ *) % 1.11/1.27 assert (zenon_L1008_ : ((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H60 zenon_H38 zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H162 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.27 apply (zenon_L779_); trivial. % 1.11/1.27 apply (zenon_L638_); trivial. % 1.11/1.27 (* end of lemma zenon_L1008_ *) % 1.11/1.27 assert (zenon_L1009_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf6 zenon_H72 zenon_H5f zenon_H38 zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_He0 zenon_H43 zenon_H1b9 zenon_H188 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.27 apply (zenon_L79_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.27 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.27 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.27 apply (zenon_L4_); trivial. % 1.11/1.27 apply (zenon_L1008_); trivial. % 1.11/1.27 apply (zenon_L207_); trivial. % 1.11/1.27 apply (zenon_L592_); trivial. % 1.11/1.27 (* end of lemma zenon_L1009_ *) % 1.11/1.27 assert (zenon_L1010_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H1bb zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_He0 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H1b1 zenon_H22b zenon_H5f zenon_H72 zenon_Hf6 zenon_H38 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H14a zenon_H1b9 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L820_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.27 apply (zenon_L1009_); trivial. % 1.11/1.27 apply (zenon_L588_); trivial. % 1.11/1.27 (* end of lemma zenon_L1010_ *) % 1.11/1.27 assert (zenon_L1011_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf5 zenon_Hf0 zenon_Hb2 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H188 zenon_H1b9 zenon_He0 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H1b1 zenon_H1aa zenon_H19f zenon_H19e zenon_H22b zenon_H38 zenon_H5f zenon_H72 zenon_Hf6. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.27 apply (zenon_L1009_); trivial. % 1.11/1.27 apply (zenon_L156_); trivial. % 1.11/1.27 (* end of lemma zenon_L1011_ *) % 1.11/1.27 assert (zenon_L1012_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H199 zenon_H19b zenon_H14a zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H188 zenon_H1b9 zenon_He0 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H1b1 zenon_H1aa zenon_H22b zenon_H38 zenon_H5f zenon_H72 zenon_Hf6 zenon_H24d zenon_H1bb zenon_H14c zenon_H189 zenon_H151. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L151_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.27 apply (zenon_L1011_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.27 apply (zenon_L1009_); trivial. % 1.11/1.27 apply (zenon_L606_); trivial. % 1.11/1.27 apply (zenon_L1010_); trivial. % 1.11/1.27 (* end of lemma zenon_L1012_ *) % 1.11/1.27 assert (zenon_L1013_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_H188 zenon_H1b9 zenon_H14c zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H14a zenon_H1bb zenon_H19b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_L1007_); trivial. % 1.11/1.27 apply (zenon_L1010_); trivial. % 1.11/1.27 apply (zenon_L1012_); trivial. % 1.11/1.27 (* end of lemma zenon_L1013_ *) % 1.11/1.27 assert (zenon_L1014_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H196 zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_L263_); trivial. % 1.11/1.27 apply (zenon_L598_); trivial. % 1.11/1.27 (* end of lemma zenon_L1014_ *) % 1.11/1.27 assert (zenon_L1015_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_H11a zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H19b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_L920_); trivial. % 1.11/1.27 apply (zenon_L264_); trivial. % 1.11/1.27 apply (zenon_L1014_); trivial. % 1.11/1.27 (* end of lemma zenon_L1015_ *) % 1.11/1.27 assert (zenon_L1016_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H22b zenon_H18f zenon_H18e zenon_H18d zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_L66_); trivial. % 1.11/1.27 apply (zenon_L598_); trivial. % 1.11/1.27 (* end of lemma zenon_L1016_ *) % 1.11/1.27 assert (zenon_L1017_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H196 zenon_Hf5 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H72 zenon_H47 zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.27 apply (zenon_L242_); trivial. % 1.11/1.27 apply (zenon_L1016_); trivial. % 1.11/1.27 (* end of lemma zenon_L1017_ *) % 1.11/1.27 assert (zenon_L1018_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H199 zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H106 zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.27 apply (zenon_L947_); trivial. % 1.11/1.27 apply (zenon_L1017_); trivial. % 1.11/1.27 (* end of lemma zenon_L1018_ *) % 1.11/1.27 assert (zenon_L1019_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H20e zenon_H14a zenon_Hf0 zenon_H188 zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H162 zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H72 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_H7 zenon_H5 zenon_H203 zenon_H204 zenon_H205 zenon_H83 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1bb zenon_H19b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.27 apply (zenon_L618_); trivial. % 1.11/1.27 apply (zenon_L1012_); trivial. % 1.11/1.27 (* end of lemma zenon_L1019_ *) % 1.11/1.27 assert (zenon_L1020_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H19b zenon_H141 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H178 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_H11a zenon_H111 zenon_H151. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L794_); trivial. % 1.11/1.27 apply (zenon_L625_); trivial. % 1.11/1.27 apply (zenon_L844_); trivial. % 1.11/1.27 (* end of lemma zenon_L1020_ *) % 1.11/1.27 assert (zenon_L1021_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H87 zenon_H85 zenon_H151 zenon_H111 zenon_H11a zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H141 zenon_H19b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.27 apply (zenon_L1020_); trivial. % 1.11/1.27 apply (zenon_L147_); trivial. % 1.11/1.27 (* end of lemma zenon_L1021_ *) % 1.11/1.27 assert (zenon_L1022_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp3)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H20e zenon_H19 zenon_Hec zenon_H25d zenon_H138 zenon_Hee zenon_H19b zenon_H141 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_H11a zenon_H111 zenon_H151 zenon_H85 zenon_H87 zenon_H19a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.27 apply (zenon_L1021_); trivial. % 1.11/1.27 apply (zenon_L847_); trivial. % 1.11/1.27 (* end of lemma zenon_L1022_ *) % 1.11/1.27 assert (zenon_L1023_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H7 zenon_H5 zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H72 zenon_H24d zenon_H1bb zenon_H14c zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H212 zenon_H211 zenon_H210 zenon_H1b1 zenon_H9d zenon_H229 zenon_H22b zenon_H38 zenon_H188 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H5e zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.27 apply (zenon_L853_); trivial. % 1.11/1.27 apply (zenon_L1012_); trivial. % 1.11/1.27 (* end of lemma zenon_L1023_ *) % 1.11/1.27 assert (zenon_L1024_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H18f zenon_H18e zenon_H18d zenon_H2b zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H17 zenon_H19 zenon_Hae zenon_H5f. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_L828_); trivial. % 1.11/1.27 apply (zenon_L598_); trivial. % 1.11/1.27 (* end of lemma zenon_L1024_ *) % 1.11/1.27 assert (zenon_L1025_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H20c zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H19 zenon_Hae zenon_H5f zenon_Hf6 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H11a zenon_H111 zenon_Hf5 zenon_H151. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L1024_); trivial. % 1.11/1.27 apply (zenon_L625_); trivial. % 1.11/1.27 apply (zenon_L324_); trivial. % 1.11/1.27 (* end of lemma zenon_L1025_ *) % 1.11/1.27 assert (zenon_L1026_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H1bb zenon_H20c zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H19 zenon_H151 zenon_H111 zenon_H11a zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H141 zenon_H19b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.27 apply (zenon_L1020_); trivial. % 1.11/1.27 apply (zenon_L1025_); trivial. % 1.11/1.27 (* end of lemma zenon_L1026_ *) % 1.11/1.27 assert (zenon_L1027_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H20e zenon_Hee zenon_Hec zenon_H14c zenon_H19b zenon_H141 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_H11a zenon_H111 zenon_H151 zenon_H19 zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H20c zenon_H1bb zenon_H19a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.27 apply (zenon_L1026_); trivial. % 1.11/1.27 apply (zenon_L1018_); trivial. % 1.11/1.27 (* end of lemma zenon_L1027_ *) % 1.11/1.27 assert (zenon_L1028_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H19b zenon_H72 zenon_H1bb zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Ha zenon_Hc0 zenon_Hf6 zenon_H22b zenon_H210 zenon_H211 zenon_H212 zenon_H9a zenon_H229 zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H111 zenon_Hf5 zenon_H151. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_L768_); trivial. % 1.11/1.27 apply (zenon_L324_); trivial. % 1.11/1.27 (* end of lemma zenon_L1028_ *) % 1.11/1.27 assert (zenon_L1029_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c0_1 (a26))) -> (c3_1 (a26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H31 zenon_H24d zenon_H205 zenon_H204 zenon_H203 zenon_H15a zenon_H15b zenon_H159 zenon_H3a zenon_H3b zenon_H3c zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_Hf8 zenon_Hfa zenon_H162 zenon_H1b1 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_H108 zenon_H109 zenon_H10a. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23a | zenon_intro zenon_H24e ]. % 1.11/1.27 apply (zenon_L436_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H107 ]. % 1.11/1.27 apply (zenon_L603_); trivial. % 1.11/1.27 apply (zenon_L78_); trivial. % 1.11/1.27 (* end of lemma zenon_L1029_ *) % 1.11/1.27 assert (zenon_L1030_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H47 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_H1b9 zenon_H188 zenon_Ha1 zenon_H83 zenon_H127 zenon_H14c zenon_H24d zenon_H189 zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H72 zenon_H19b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.27 apply (zenon_L1028_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L151_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.27 apply (zenon_L653_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.27 apply (zenon_L1009_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_L155_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.27 apply (zenon_L254_); trivial. % 1.11/1.27 apply (zenon_L1029_); trivial. % 1.11/1.27 apply (zenon_L246_); trivial. % 1.11/1.27 (* end of lemma zenon_L1030_ *) % 1.11/1.27 assert (zenon_L1031_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H18a zenon_H151 zenon_H24d zenon_H229 zenon_H28a zenon_H289 zenon_H297 zenon_H141 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H85 zenon_H138 zenon_H106. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L801_); trivial. % 1.11/1.27 apply (zenon_L634_); trivial. % 1.11/1.27 (* end of lemma zenon_L1031_ *) % 1.11/1.27 assert (zenon_L1032_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H138 zenon_H85 zenon_H141 zenon_H19b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L794_); trivial. % 1.11/1.27 apply (zenon_L697_); trivial. % 1.11/1.27 apply (zenon_L1031_); trivial. % 1.11/1.27 apply (zenon_L147_); trivial. % 1.11/1.27 (* end of lemma zenon_L1032_ *) % 1.11/1.27 assert (zenon_L1033_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H185 zenon_H5f zenon_H17a zenon_H178 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H108 zenon_H109 zenon_H10a zenon_H57 zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.27 apply (zenon_L636_); trivial. % 1.11/1.27 apply (zenon_L137_); trivial. % 1.11/1.27 (* end of lemma zenon_L1033_ *) % 1.11/1.27 assert (zenon_L1034_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H14e zenon_H106 zenon_H5f zenon_H38 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H178 zenon_H17a zenon_H188. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.27 apply (zenon_L636_); trivial. % 1.11/1.27 apply (zenon_L1008_); trivial. % 1.11/1.27 apply (zenon_L1033_); trivial. % 1.11/1.27 apply (zenon_L332_); trivial. % 1.11/1.27 (* end of lemma zenon_L1034_ *) % 1.11/1.27 assert (zenon_L1035_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H24f zenon_H19a zenon_H151 zenon_H106 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H17a zenon_H188 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H1b9 zenon_H14a zenon_H19b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L151_); trivial. % 1.11/1.27 apply (zenon_L1034_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L820_); trivial. % 1.11/1.27 apply (zenon_L1034_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_L644_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L820_); trivial. % 1.11/1.27 apply (zenon_L643_); trivial. % 1.11/1.27 (* end of lemma zenon_L1035_ *) % 1.11/1.27 assert (zenon_L1036_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H20c zenon_Hec zenon_Hee zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H19 zenon_Hae zenon_H5f zenon_Hf6 zenon_Hc4 zenon_H121 zenon_H11f zenon_He0 zenon_H11a zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H229 zenon_H24d zenon_Hf5 zenon_H151. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L1024_); trivial. % 1.11/1.27 apply (zenon_L697_); trivial. % 1.11/1.27 apply (zenon_L239_); trivial. % 1.11/1.27 (* end of lemma zenon_L1036_ *) % 1.11/1.27 assert (zenon_L1037_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H19a zenon_H22b zenon_H1bd zenon_H19 zenon_H151 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H11f zenon_H121 zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_H106 zenon_Hee zenon_Hec zenon_H20c zenon_H1bb zenon_H19b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.27 apply (zenon_L787_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.27 apply (zenon_L788_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_L782_); trivial. % 1.11/1.27 apply (zenon_L936_); trivial. % 1.11/1.27 apply (zenon_L54_); trivial. % 1.11/1.27 apply (zenon_L697_); trivial. % 1.11/1.27 apply (zenon_L239_); trivial. % 1.11/1.27 apply (zenon_L1036_); trivial. % 1.11/1.27 (* end of lemma zenon_L1037_ *) % 1.11/1.27 assert (zenon_L1038_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp25)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a29)) -> (~(c2_1 (a29))) -> (~(c3_1 (a29))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> (ndr1_0) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Ha1 zenon_H9d zenon_H9a zenon_H98 zenon_H1bb zenon_H77 zenon_H76 zenon_H74 zenon_H133 zenon_H12a zenon_H129 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H5 zenon_H127. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.11/1.27 apply (zenon_L500_); trivial. % 1.11/1.27 apply (zenon_L41_); trivial. % 1.11/1.27 (* end of lemma zenon_L1038_ *) % 1.11/1.27 assert (zenon_L1039_ : ((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (c1_1 (a29)) -> (~(c3_1 (a29))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a54)) -> (c0_1 (a54)) -> (~(c1_1 (a54))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H31 zenon_H121 zenon_H77 zenon_H74 zenon_H129 zenon_H12a zenon_H133 zenon_H19e zenon_H19f zenon_H1aa zenon_H1bb zenon_H109 zenon_H10a zenon_H108 zenon_H162 zenon_H1b1 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H1bd zenon_H11f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H34. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H26. zenon_intro zenon_H35. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H75 | zenon_intro zenon_H122 ]. % 1.11/1.27 apply (zenon_L161_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H120 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H75 | zenon_intro zenon_H1be ]. % 1.11/1.27 apply (zenon_L161_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H73 | zenon_intro zenon_H4d ]. % 1.11/1.27 apply (zenon_L119_); trivial. % 1.11/1.27 apply (zenon_L213_); trivial. % 1.11/1.27 exact (zenon_H11f zenon_H120). % 1.11/1.27 (* end of lemma zenon_L1039_ *) % 1.11/1.27 assert (zenon_L1040_ : ((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a29))) -> (c1_1 (a29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hab zenon_H38 zenon_H121 zenon_H11f zenon_H74 zenon_H77 zenon_H162 zenon_H129 zenon_H12a zenon_H133 zenon_H1bb zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha3. zenon_intro zenon_Had. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha4. zenon_intro zenon_Ha2. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.27 apply (zenon_L779_); trivial. % 1.11/1.27 apply (zenon_L1039_); trivial. % 1.11/1.27 (* end of lemma zenon_L1040_ *) % 1.11/1.27 assert (zenon_L1041_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a39))) -> (~(c3_1 (a39))) -> (c2_1 (a39)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hae zenon_H38 zenon_H121 zenon_H11f zenon_H162 zenon_H1aa zenon_H19f zenon_H19e zenon_H1bd zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176 zenon_H127 zenon_H5 zenon_Ha zenon_H3a zenon_H3b zenon_H3c zenon_H129 zenon_H12a zenon_H133 zenon_H74 zenon_H76 zenon_H77 zenon_H1bb zenon_H9a zenon_H9d zenon_Ha1. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.27 apply (zenon_L1038_); trivial. % 1.11/1.27 apply (zenon_L1040_); trivial. % 1.11/1.27 (* end of lemma zenon_L1041_ *) % 1.11/1.27 assert (zenon_L1042_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H9d zenon_H9a zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H10a zenon_H109 zenon_H108 zenon_H1bd zenon_H11f zenon_H121 zenon_H38 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_L155_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.27 apply (zenon_L1041_); trivial. % 1.11/1.27 apply (zenon_L556_); trivial. % 1.11/1.27 (* end of lemma zenon_L1042_ *) % 1.11/1.27 assert (zenon_L1043_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H14e zenon_H189 zenon_H265 zenon_H264 zenon_H263 zenon_H15a zenon_H15b zenon_H159 zenon_H1bb zenon_H24d zenon_Hf6 zenon_H72 zenon_H5f zenon_H38 zenon_H22b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b1 zenon_H162 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5 zenon_H7 zenon_He0 zenon_H1b9 zenon_H188 zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_Hf5. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.27 apply (zenon_L1011_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.27 apply (zenon_L1009_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.27 apply (zenon_L155_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.27 apply (zenon_L779_); trivial. % 1.11/1.27 apply (zenon_L604_); trivial. % 1.11/1.27 apply (zenon_L556_); trivial. % 1.11/1.27 (* end of lemma zenon_L1043_ *) % 1.11/1.27 assert (zenon_L1044_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H199 zenon_H19b zenon_H14a zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H127 zenon_H83 zenon_Ha1 zenon_H111 zenon_H188 zenon_H1b9 zenon_He0 zenon_H7 zenon_H5 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H289 zenon_H297 zenon_H28a zenon_H162 zenon_H1b1 zenon_H1aa zenon_H22b zenon_H38 zenon_H5f zenon_H72 zenon_Hf6 zenon_H24d zenon_H1bb zenon_H263 zenon_H264 zenon_H265 zenon_H189 zenon_H151. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L151_); trivial. % 1.11/1.27 apply (zenon_L1043_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.27 apply (zenon_L893_); trivial. % 1.11/1.27 apply (zenon_L1043_); trivial. % 1.11/1.27 (* end of lemma zenon_L1044_ *) % 1.11/1.27 assert (zenon_L1045_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H24f zenon_H20e zenon_Hf0 zenon_H24d zenon_H189 zenon_H151 zenon_H188 zenon_H1b9 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H14a zenon_Hf6 zenon_H72 zenon_H5f zenon_H22b zenon_H162 zenon_H28a zenon_H297 zenon_H289 zenon_H5 zenon_H7 zenon_He0 zenon_H111 zenon_Ha1 zenon_H83 zenon_H127 zenon_H1bd zenon_H1bb zenon_Hf5 zenon_H19b. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.28 apply (zenon_L892_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L893_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.28 apply (zenon_L1009_); trivial. % 1.11/1.28 apply (zenon_L1042_); trivial. % 1.11/1.28 apply (zenon_L1044_); trivial. % 1.11/1.28 (* end of lemma zenon_L1045_ *) % 1.11/1.28 assert (zenon_L1046_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H199 zenon_H19b zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_Hf5 zenon_Hf0 zenon_H72 zenon_H47 zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H289 zenon_H297 zenon_H28a zenon_He0 zenon_H22b zenon_Hf6 zenon_H5f zenon_Ha1 zenon_H162 zenon_H1aa zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H38 zenon_H24d zenon_H1b1 zenon_H1bb zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_H189 zenon_H151. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L151_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.28 apply (zenon_L653_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.28 apply (zenon_L652_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.28 apply (zenon_L155_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.28 apply (zenon_L779_); trivial. % 1.11/1.28 apply (zenon_L1029_); trivial. % 1.11/1.28 apply (zenon_L556_); trivial. % 1.11/1.28 apply (zenon_L246_); trivial. % 1.11/1.28 (* end of lemma zenon_L1046_ *) % 1.11/1.28 assert (zenon_L1047_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_Hf0 zenon_H47 zenon_H20c zenon_H162 zenon_H24d zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H188 zenon_H189 zenon_Hf5 zenon_Hae zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H14c zenon_H127 zenon_Ha1 zenon_He0 zenon_H11f zenon_H121 zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.28 apply (zenon_L408_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.28 apply (zenon_L618_); trivial. % 1.11/1.28 apply (zenon_L1046_); trivial. % 1.11/1.28 (* end of lemma zenon_L1047_ *) % 1.11/1.28 assert (zenon_L1048_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H19b zenon_H111 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H141 zenon_H2f zenon_H1b9 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_He0 zenon_H229 zenon_H9a zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hf5 zenon_H151. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.28 apply (zenon_L669_); trivial. % 1.11/1.28 apply (zenon_L415_); trivial. % 1.11/1.28 (* end of lemma zenon_L1048_ *) % 1.11/1.28 assert (zenon_L1049_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H20e zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H1b9 zenon_H2f zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H111 zenon_H19b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.28 apply (zenon_L1048_); trivial. % 1.11/1.28 apply (zenon_L889_); trivial. % 1.11/1.28 (* end of lemma zenon_L1049_ *) % 1.11/1.28 assert (zenon_L1050_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H20c zenon_H20e zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H151 zenon_Hf5 zenon_H47 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H111 zenon_H19b zenon_H9d zenon_H1b1 zenon_Hae zenon_H189 zenon_H1bb zenon_H24d zenon_H72 zenon_H162 zenon_H5 zenon_H7 zenon_Ha1 zenon_H83 zenon_H127 zenon_Hf0 zenon_H26d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.28 apply (zenon_L1049_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.28 apply (zenon_L853_); trivial. % 1.11/1.28 apply (zenon_L1044_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.28 apply (zenon_L676_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.28 apply (zenon_L1028_); trivial. % 1.11/1.28 apply (zenon_L1046_); trivial. % 1.11/1.28 (* end of lemma zenon_L1050_ *) % 1.11/1.28 assert (zenon_L1051_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H151 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H18d zenon_H18e zenon_H18f zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H11a zenon_H17 zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L388_); trivial. % 1.11/1.28 apply (zenon_L643_); trivial. % 1.11/1.28 (* end of lemma zenon_L1051_ *) % 1.11/1.28 assert (zenon_L1052_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H24f zenon_H19a zenon_H151 zenon_H106 zenon_H5f zenon_H38 zenon_H1b1 zenon_H162 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H17a zenon_H188 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H1b9 zenon_H19b. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L388_); trivial. % 1.11/1.28 apply (zenon_L1034_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L893_); trivial. % 1.11/1.28 apply (zenon_L1034_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.28 apply (zenon_L1051_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L893_); trivial. % 1.11/1.28 apply (zenon_L643_); trivial. % 1.11/1.28 (* end of lemma zenon_L1052_ *) % 1.11/1.28 assert (zenon_L1053_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a26))/\((~(c0_1 (a26)))/\(~(c1_1 (a26))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_Hf0 zenon_H19 zenon_H189 zenon_H72 zenon_H1bb zenon_H20c zenon_H20e zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H151 zenon_Hf5 zenon_H47 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H111 zenon_H19b zenon_H17a zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H162 zenon_H1b1 zenon_H19a zenon_H26d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.28 apply (zenon_L1049_); trivial. % 1.11/1.28 apply (zenon_L1052_); trivial. % 1.11/1.28 apply (zenon_L684_); trivial. % 1.11/1.28 (* end of lemma zenon_L1053_ *) % 1.11/1.28 assert (zenon_L1054_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H14e zenon_Hf5 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H5f zenon_H111 zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_Hae zenon_He0 zenon_H11f zenon_H121 zenon_Hc4 zenon_Hf6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.28 apply (zenon_L79_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.28 apply (zenon_L455_); trivial. % 1.11/1.28 apply (zenon_L85_); trivial. % 1.11/1.28 apply (zenon_L90_); trivial. % 1.11/1.28 (* end of lemma zenon_L1054_ *) % 1.11/1.28 assert (zenon_L1055_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H196 zenon_H72 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H203 zenon_H204 zenon_H205 zenon_H32 zenon_H2f zenon_H271 zenon_H270 zenon_H1bd. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.28 apply (zenon_L941_); trivial. % 1.11/1.28 apply (zenon_L598_); trivial. % 1.11/1.28 (* end of lemma zenon_L1055_ *) % 1.11/1.28 assert (zenon_L1056_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (ndr1_0) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H1bd zenon_H106 zenon_H1b1 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H9a zenon_H8d zenon_H271 zenon_H270 zenon_Ha zenon_H2f zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H127 zenon_H83 zenon_H5 zenon_H7 zenon_H151. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L937_); trivial. % 1.11/1.28 apply (zenon_L1054_); trivial. % 1.11/1.28 apply (zenon_L1055_); trivial. % 1.11/1.28 (* end of lemma zenon_L1056_ *) % 1.11/1.28 assert (zenon_L1057_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H199 zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H32 zenon_H271 zenon_H270 zenon_H1bd zenon_H106 zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.28 apply (zenon_L947_); trivial. % 1.11/1.28 apply (zenon_L1055_); trivial. % 1.11/1.28 (* end of lemma zenon_L1057_ *) % 1.11/1.28 assert (zenon_L1058_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H20e zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H1bd zenon_H106 zenon_H14c zenon_H141 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.28 apply (zenon_L497_); trivial. % 1.11/1.28 apply (zenon_L1057_); trivial. % 1.11/1.28 (* end of lemma zenon_L1058_ *) % 1.11/1.28 assert (zenon_L1059_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H19a zenon_H22b zenon_H1bd zenon_H151 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_H106 zenon_H1bb zenon_H141 zenon_H19b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L937_); trivial. % 1.11/1.28 apply (zenon_L697_); trivial. % 1.11/1.28 apply (zenon_L698_); trivial. % 1.11/1.28 apply (zenon_L1055_); trivial. % 1.11/1.28 (* end of lemma zenon_L1059_ *) % 1.11/1.28 assert (zenon_L1060_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(hskp11)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H17 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L843_); trivial. % 1.11/1.28 apply (zenon_L681_); trivial. % 1.11/1.28 (* end of lemma zenon_L1060_ *) % 1.11/1.28 assert (zenon_L1061_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H19a zenon_H87 zenon_H85 zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf5 zenon_H5a zenon_H14a zenon_Hc4 zenon_Hc0 zenon_H188 zenon_H5f zenon_H17a zenon_Ha1 zenon_H49 zenon_H8d zenon_H5e zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_He5 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H106 zenon_H141 zenon_H19b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.28 apply (zenon_L1060_); trivial. % 1.11/1.28 apply (zenon_L844_); trivial. % 1.11/1.28 apply (zenon_L147_); trivial. % 1.11/1.28 (* end of lemma zenon_L1061_ *) % 1.11/1.28 assert (zenon_L1062_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H106. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L984_); trivial. % 1.11/1.28 apply (zenon_L1054_); trivial. % 1.11/1.28 (* end of lemma zenon_L1062_ *) % 1.11/1.28 assert (zenon_L1063_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H19a zenon_H87 zenon_H151 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_H11a zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9a zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H138 zenon_H85 zenon_H141 zenon_H19b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L954_); trivial. % 1.11/1.28 apply (zenon_L697_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.28 apply (zenon_L934_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.28 apply (zenon_L454_); trivial. % 1.11/1.28 apply (zenon_L800_); trivial. % 1.11/1.28 apply (zenon_L54_); trivial. % 1.11/1.28 apply (zenon_L634_); trivial. % 1.11/1.28 apply (zenon_L147_); trivial. % 1.11/1.28 (* end of lemma zenon_L1063_ *) % 1.11/1.28 assert (zenon_L1064_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.28 apply (zenon_L779_); trivial. % 1.11/1.28 apply (zenon_L715_); trivial. % 1.11/1.28 (* end of lemma zenon_L1064_ *) % 1.11/1.28 assert (zenon_L1065_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H2b zenon_H57 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.28 apply (zenon_L1064_); trivial. % 1.11/1.28 apply (zenon_L222_); trivial. % 1.11/1.28 (* end of lemma zenon_L1065_ *) % 1.11/1.28 assert (zenon_L1066_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46)))))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> (c2_1 (a8)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H1ec zenon_H15b zenon_H15a zenon_H159 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H112 zenon_H8f zenon_H91 zenon_H90. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H13d | zenon_intro zenon_H1ed ]. % 1.11/1.28 apply (zenon_L115_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Haf ]. % 1.11/1.28 apply (zenon_L714_); trivial. % 1.11/1.28 apply (zenon_L110_); trivial. % 1.11/1.28 (* end of lemma zenon_L1066_ *) % 1.11/1.28 assert (zenon_L1067_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H9c zenon_H1b9 zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H141 zenon_H29e zenon_H29f zenon_H2a0 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H17c zenon_H17d zenon_H17e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.11/1.28 apply (zenon_L116_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.11/1.28 apply (zenon_L1066_); trivial. % 1.11/1.28 apply (zenon_L136_); trivial. % 1.11/1.28 (* end of lemma zenon_L1067_ *) % 1.11/1.28 assert (zenon_L1068_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H1b9 zenon_H2f zenon_H141 zenon_H8d zenon_H17a zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_H111 zenon_Hf6 zenon_H151. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.28 apply (zenon_L1065_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.28 apply (zenon_L1064_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.11/1.28 apply (zenon_L37_); trivial. % 1.11/1.28 apply (zenon_L1067_); trivial. % 1.11/1.28 apply (zenon_L137_); trivial. % 1.11/1.28 apply (zenon_L54_); trivial. % 1.11/1.28 apply (zenon_L125_); trivial. % 1.11/1.28 apply (zenon_L147_); trivial. % 1.11/1.28 (* end of lemma zenon_L1068_ *) % 1.11/1.28 assert (zenon_L1069_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H19b zenon_H141 zenon_H85 zenon_H138 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H121 zenon_H11f zenon_H11a zenon_H111 zenon_H127 zenon_H83 zenon_H5 zenon_H7 zenon_H151 zenon_H87 zenon_H19a. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.28 apply (zenon_L921_); trivial. % 1.11/1.28 apply (zenon_L1068_); trivial. % 1.11/1.28 (* end of lemma zenon_L1069_ *) % 1.11/1.28 assert (zenon_L1070_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a30))) -> (c2_1 (a30)) -> (c3_1 (a30)) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> (~(hskp23)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H64 zenon_H65 zenon_H66 zenon_H129 zenon_H133 zenon_H12a zenon_H43 zenon_He0 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H174 zenon_H176. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.28 apply (zenon_L779_); trivial. % 1.11/1.28 apply (zenon_L721_); trivial. % 1.11/1.28 (* end of lemma zenon_L1070_ *) % 1.11/1.28 assert (zenon_L1071_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.28 apply (zenon_L79_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.28 apply (zenon_L1070_); trivial. % 1.11/1.28 apply (zenon_L207_); trivial. % 1.11/1.28 (* end of lemma zenon_L1071_ *) % 1.11/1.28 assert (zenon_L1072_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf5 zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H57 zenon_H5a zenon_H9d zenon_H9a zenon_H1b1 zenon_Hae zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H188 zenon_Hf6. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.28 apply (zenon_L1071_); trivial. % 1.11/1.28 apply (zenon_L866_); trivial. % 1.11/1.28 (* end of lemma zenon_L1072_ *) % 1.11/1.28 assert (zenon_L1073_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (~(c2_1 (a21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H72 zenon_H188 zenon_H283 zenon_H2d zenon_H9d zenon_H9a zenon_H1bb zenon_H133 zenon_H12a zenon_H129 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b1 zenon_H1bd zenon_H11f zenon_H121 zenon_H38 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.28 apply (zenon_L282_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.28 apply (zenon_L155_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.28 apply (zenon_L1041_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.28 apply (zenon_L1038_); trivial. % 1.11/1.28 apply (zenon_L813_); trivial. % 1.11/1.28 (* end of lemma zenon_L1073_ *) % 1.11/1.28 assert (zenon_L1074_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H188 zenon_Hc0 zenon_H2b zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.28 apply (zenon_L1064_); trivial. % 1.11/1.28 apply (zenon_L313_); trivial. % 1.11/1.28 (* end of lemma zenon_L1074_ *) % 1.11/1.28 assert (zenon_L1075_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H43 zenon_He0 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.28 apply (zenon_L79_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.28 apply (zenon_L1064_); trivial. % 1.11/1.28 apply (zenon_L207_); trivial. % 1.11/1.28 (* end of lemma zenon_L1075_ *) % 1.11/1.28 assert (zenon_L1076_ : ((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H9c zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H29e zenon_H29f zenon_H2a0 zenon_H159 zenon_H15a zenon_H15b zenon_H1ec zenon_H17c zenon_H17d zenon_H17e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.11/1.28 apply (zenon_L152_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.11/1.28 apply (zenon_L1066_); trivial. % 1.11/1.28 apply (zenon_L136_); trivial. % 1.11/1.28 (* end of lemma zenon_L1076_ *) % 1.11/1.28 assert (zenon_L1077_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a29))) -> (~(c2_1 (a29))) -> (c1_1 (a29)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H185 zenon_Ha1 zenon_H1b9 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H74 zenon_H76 zenon_H77 zenon_H14c zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.11/1.28 apply (zenon_L728_); trivial. % 1.11/1.28 apply (zenon_L1076_); trivial. % 1.11/1.28 (* end of lemma zenon_L1077_ *) % 1.11/1.28 assert (zenon_L1078_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf2 zenon_H188 zenon_Ha1 zenon_H1b9 zenon_H127 zenon_H5 zenon_H19e zenon_H19f zenon_H1aa zenon_H14c zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.28 apply (zenon_L1064_); trivial. % 1.11/1.28 apply (zenon_L1077_); trivial. % 1.11/1.28 (* end of lemma zenon_L1078_ *) % 1.11/1.28 assert (zenon_L1079_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H199 zenon_H151 zenon_Hf5 zenon_Ha1 zenon_H127 zenon_H5 zenon_H14c zenon_H111 zenon_He0 zenon_Hf6 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.28 apply (zenon_L1074_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.28 apply (zenon_L1075_); trivial. % 1.11/1.28 apply (zenon_L1078_); trivial. % 1.11/1.28 (* end of lemma zenon_L1079_ *) % 1.11/1.28 assert (zenon_L1080_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H103 zenon_H72 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H2f zenon_H6e zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.28 apply (zenon_L240_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.29 apply (zenon_L243_); trivial. % 1.11/1.29 apply (zenon_L715_); trivial. % 1.11/1.29 (* end of lemma zenon_L1080_ *) % 1.11/1.29 assert (zenon_L1081_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H151 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H178 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_H72 zenon_H47 zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H203 zenon_H204 zenon_H205 zenon_H20c zenon_H2f zenon_H141 zenon_Hf6 zenon_H6e zenon_H14c zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H106. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.29 apply (zenon_L946_); trivial. % 1.11/1.29 apply (zenon_L1080_); trivial. % 1.11/1.29 apply (zenon_L125_); trivial. % 1.11/1.29 (* end of lemma zenon_L1081_ *) % 1.11/1.29 assert (zenon_L1082_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17 zenon_H19 zenon_H49 zenon_H2b zenon_H18d zenon_H18e zenon_H18f zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L543_); trivial. % 1.11/1.29 apply (zenon_L716_); trivial. % 1.11/1.29 (* end of lemma zenon_L1082_ *) % 1.11/1.29 assert (zenon_L1083_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H199 zenon_H19a zenon_H19b zenon_H1bb zenon_H19 zenon_H1bd zenon_H106 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.29 apply (zenon_L1081_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L1082_); trivial. % 1.11/1.29 apply (zenon_L125_); trivial. % 1.11/1.29 apply (zenon_L246_); trivial. % 1.11/1.29 (* end of lemma zenon_L1083_ *) % 1.11/1.29 assert (zenon_L1084_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H141 zenon_H19b zenon_H1bb zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H9d zenon_H2f zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H19 zenon_H1bd zenon_H2d zenon_H283 zenon_H19a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_L833_); trivial. % 1.11/1.29 apply (zenon_L1083_); trivial. % 1.11/1.29 (* end of lemma zenon_L1084_ *) % 1.11/1.29 assert (zenon_L1085_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H199 zenon_H151 zenon_Hf5 zenon_Hae zenon_H283 zenon_H2d zenon_Hec zenon_Hee zenon_H111 zenon_He0 zenon_Hf6 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L1074_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.29 apply (zenon_L1075_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L1064_); trivial. % 1.11/1.29 apply (zenon_L814_); trivial. % 1.11/1.29 (* end of lemma zenon_L1085_ *) % 1.11/1.29 assert (zenon_L1086_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H20c zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H72 zenon_H47 zenon_H5e zenon_H1bd zenon_H205 zenon_H204 zenon_H203 zenon_H49 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_H19 zenon_Hae zenon_H5f zenon_H6e zenon_Hf6 zenon_Hc4 zenon_H166 zenon_He0 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.29 apply (zenon_L831_); trivial. % 1.11/1.29 apply (zenon_L281_); trivial. % 1.11/1.29 apply (zenon_L233_); trivial. % 1.11/1.29 apply (zenon_L324_); trivial. % 1.11/1.29 (* end of lemma zenon_L1086_ *) % 1.11/1.29 assert (zenon_L1087_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H1bb zenon_H20c zenon_H1bd zenon_H19 zenon_H14c zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H138 zenon_H19b zenon_H141 zenon_H229 zenon_H106 zenon_H1b1 zenon_H1b9 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_He5 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H9d zenon_H32 zenon_H38 zenon_H5e zenon_H8d zenon_H49 zenon_Ha1 zenon_H17a zenon_H5f zenon_H188 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H5a zenon_Hf5 zenon_H166 zenon_H11a zenon_H111 zenon_Hec zenon_Hee zenon_H151 zenon_H87 zenon_H19a zenon_H22b zenon_H2d zenon_H283 zenon_H26d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_L846_); trivial. % 1.11/1.29 apply (zenon_L1068_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_L853_); trivial. % 1.11/1.29 apply (zenon_L1085_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.29 apply (zenon_L845_); trivial. % 1.11/1.29 apply (zenon_L1086_); trivial. % 1.11/1.29 apply (zenon_L1083_); trivial. % 1.11/1.29 apply (zenon_L744_); trivial. % 1.11/1.29 (* end of lemma zenon_L1087_ *) % 1.11/1.29 assert (zenon_L1088_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_Hd3 zenon_Hd1 zenon_He0 zenon_H162 zenon_He5 zenon_H5f zenon_H17a zenon_H178 zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H19e zenon_H19f zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H5a zenon_H188. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L797_); trivial. % 1.11/1.29 apply (zenon_L537_); trivial. % 1.11/1.29 apply (zenon_L180_); trivial. % 1.11/1.29 apply (zenon_L362_); trivial. % 1.11/1.29 (* end of lemma zenon_L1088_ *) % 1.11/1.29 assert (zenon_L1089_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H18a zenon_H151 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H1b9 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H111 zenon_H121 zenon_H11f zenon_H1bb zenon_H1bd zenon_H188 zenon_H5a zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H9a zenon_H1b1 zenon_H5e zenon_H38 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1aa zenon_H19f zenon_H19e zenon_H14a zenon_H178 zenon_H17a zenon_H5f zenon_He5 zenon_H162 zenon_He0 zenon_Hd1 zenon_Hd3 zenon_Hf5 zenon_H106. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L1088_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.29 apply (zenon_L1071_); trivial. % 1.11/1.29 apply (zenon_L363_); trivial. % 1.11/1.29 apply (zenon_L332_); trivial. % 1.11/1.29 (* end of lemma zenon_L1089_ *) % 1.11/1.29 assert (zenon_L1090_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a17))) -> (~(c2_1 (a17))) -> (c1_1 (a17)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H14e zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H12a zenon_H133 zenon_H129 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H111 zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H5a zenon_H18d zenon_H18e zenon_H18f zenon_H5f zenon_Hf5. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.29 apply (zenon_L1071_); trivial. % 1.11/1.29 apply (zenon_L870_); trivial. % 1.11/1.29 apply (zenon_L332_); trivial. % 1.11/1.29 (* end of lemma zenon_L1090_ *) % 1.11/1.29 assert (zenon_L1091_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a13)) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H196 zenon_H19b zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H111 zenon_H5a zenon_Hf5 zenon_H5e zenon_H1bd zenon_H49 zenon_H1bb zenon_H162 zenon_H5f zenon_Hc4 zenon_H11a zenon_H19f zenon_H19e zenon_Hc0 zenon_H121 zenon_H11f zenon_H38 zenon_H9d zenon_H9a zenon_H1b1 zenon_H1aa zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_H151. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L151_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.29 apply (zenon_L218_); trivial. % 1.11/1.29 apply (zenon_L260_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L544_); trivial. % 1.11/1.29 apply (zenon_L1090_); trivial. % 1.11/1.29 (* end of lemma zenon_L1091_ *) % 1.11/1.29 assert (zenon_L1092_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_Hf6 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H141 zenon_H38 zenon_H32 zenon_H2f zenon_H9a zenon_H9d zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H47 zenon_H72. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L780_); trivial. % 1.11/1.29 apply (zenon_L887_); trivial. % 1.11/1.29 apply (zenon_L50_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.29 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.29 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L1070_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13d | zenon_intro zenon_H71 ]. % 1.11/1.29 apply (zenon_L99_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 1.11/1.29 apply (zenon_L981_); trivial. % 1.11/1.29 exact (zenon_H2f zenon_H30). % 1.11/1.29 (* end of lemma zenon_L1092_ *) % 1.11/1.29 assert (zenon_L1093_ : ((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H103 zenon_Hf5 zenon_H6e zenon_H2b zenon_H14a zenon_Hee zenon_Hec zenon_H72 zenon_H47 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H9d zenon_H9a zenon_H2f zenon_H32 zenon_H38 zenon_H141 zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H188 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_Hf6. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.29 apply (zenon_L1092_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.29 apply (zenon_L66_); trivial. % 1.11/1.29 apply (zenon_L983_); trivial. % 1.11/1.29 (* end of lemma zenon_L1093_ *) % 1.11/1.29 assert (zenon_L1094_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a21))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H106 zenon_Hf5 zenon_H6e zenon_Hee zenon_Hec zenon_H72 zenon_H47 zenon_H2f zenon_H32 zenon_H141 zenon_He0 zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H129 zenon_H12a zenon_H133 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H2b zenon_H49 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H5a zenon_H188. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L799_); trivial. % 1.11/1.29 apply (zenon_L222_); trivial. % 1.11/1.29 apply (zenon_L1093_); trivial. % 1.11/1.29 (* end of lemma zenon_L1094_ *) % 1.11/1.29 assert (zenon_L1095_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H20e zenon_H19a zenon_H87 zenon_Ha1 zenon_H8d zenon_H17a zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H2f zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Ha zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H47 zenon_H141 zenon_H1b9 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5a zenon_H188 zenon_H19b. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.29 apply (zenon_L390_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L1094_); trivial. % 1.11/1.29 apply (zenon_L143_); trivial. % 1.11/1.29 apply (zenon_L1068_); trivial. % 1.11/1.29 (* end of lemma zenon_L1095_ *) % 1.11/1.29 assert (zenon_L1096_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (~(c2_1 (a21))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (ndr1_0) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> False). % 1.11/1.29 do 0 intro. intros zenon_Hf6 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_He0 zenon_H43 zenon_H12a zenon_H133 zenon_H129 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_Ha zenon_H108 zenon_H109 zenon_H10a zenon_H111. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.29 apply (zenon_L79_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.29 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.29 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L1070_); trivial. % 1.11/1.29 apply (zenon_L556_); trivial. % 1.11/1.29 (* end of lemma zenon_L1096_ *) % 1.11/1.29 assert (zenon_L1097_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H199 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L1064_); trivial. % 1.11/1.29 apply (zenon_L556_); trivial. % 1.11/1.29 (* end of lemma zenon_L1097_ *) % 1.11/1.29 assert (zenon_L1098_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((hskp21)\/((hskp24)\/(hskp5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H151 zenon_H188 zenon_H1b9 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H5e zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_Hf6 zenon_He0 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H111 zenon_Ha1 zenon_H162 zenon_H83 zenon_H127 zenon_H5 zenon_H7 zenon_H1bd zenon_H1bb zenon_H72 zenon_Hf5 zenon_H19b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.29 apply (zenon_L892_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L851_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.29 apply (zenon_L1096_); trivial. % 1.11/1.29 apply (zenon_L1042_); trivial. % 1.11/1.29 apply (zenon_L1097_); trivial. % 1.11/1.29 (* end of lemma zenon_L1098_ *) % 1.11/1.29 assert (zenon_L1099_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hae zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H1b1 zenon_H9d zenon_H11f zenon_H121 zenon_H38 zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bb zenon_H1bd zenon_H19b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_L900_); trivial. % 1.11/1.29 apply (zenon_L733_); trivial. % 1.11/1.29 (* end of lemma zenon_L1099_ *) % 1.11/1.29 assert (zenon_L1100_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H1b1 zenon_H9d zenon_H38 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bd zenon_H151 zenon_Hf5 zenon_H72 zenon_H6e zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H20c zenon_H1bb zenon_H19b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.29 apply (zenon_L446_); trivial. % 1.11/1.29 apply (zenon_L1099_); trivial. % 1.11/1.29 (* end of lemma zenon_L1100_ *) % 1.11/1.29 assert (zenon_L1101_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H151 zenon_Hf5 zenon_H47 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_H263 zenon_H264 zenon_H265 zenon_He0 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H1b9 zenon_H1b1 zenon_H9d zenon_H22b zenon_H38 zenon_H188 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H19b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_L910_); trivial. % 1.11/1.29 apply (zenon_L1097_); trivial. % 1.11/1.29 (* end of lemma zenon_L1101_ *) % 1.11/1.29 assert (zenon_L1102_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H38 zenon_H22b zenon_H229 zenon_H9d zenon_H1b1 zenon_H210 zenon_H211 zenon_H212 zenon_H1b9 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_Hae zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H20c zenon_H1bb zenon_H72 zenon_H19b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L388_); trivial. % 1.11/1.29 apply (zenon_L322_); trivial. % 1.11/1.29 apply (zenon_L324_); trivial. % 1.11/1.29 apply (zenon_L733_); trivial. % 1.11/1.29 (* end of lemma zenon_L1102_ *) % 1.11/1.29 assert (zenon_L1103_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H14c zenon_H1bb zenon_H20c zenon_H20e zenon_H19a zenon_H87 zenon_Hc0 zenon_Ha1 zenon_H8d zenon_H17a zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H229 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hae zenon_H166 zenon_H9d zenon_H32 zenon_H38 zenon_H6e zenon_H72 zenon_Hf6 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H111 zenon_H151 zenon_H19b zenon_H22b zenon_H1b1 zenon_He0 zenon_H26d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_L416_); trivial. % 1.11/1.29 apply (zenon_L1068_); trivial. % 1.11/1.29 apply (zenon_L1101_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_L433_); trivial. % 1.11/1.29 apply (zenon_L774_); trivial. % 1.11/1.29 apply (zenon_L1102_); trivial. % 1.11/1.29 (* end of lemma zenon_L1103_ *) % 1.11/1.29 assert (zenon_L1104_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H24f zenon_H20e zenon_H151 zenon_H188 zenon_H1b9 zenon_H38 zenon_H121 zenon_H11f zenon_H9d zenon_H1b1 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H263 zenon_H264 zenon_H265 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H14a zenon_Hf5 zenon_H162 zenon_H1bb zenon_H1bd zenon_H5a zenon_H5f zenon_H111 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_Hf6 zenon_H252 zenon_H253 zenon_H254 zenon_H24d zenon_H106 zenon_H19b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.29 apply (zenon_L892_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L893_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.29 apply (zenon_L1096_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L865_); trivial. % 1.11/1.29 apply (zenon_L556_); trivial. % 1.11/1.29 apply (zenon_L332_); trivial. % 1.11/1.29 apply (zenon_L1097_); trivial. % 1.11/1.29 (* end of lemma zenon_L1104_ *) % 1.11/1.29 assert (zenon_L1105_ : ((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H185 zenon_Ha1 zenon_H1b9 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H159 zenon_H15a zenon_H15b zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H141 zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H32. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.11/1.29 apply (zenon_L453_); trivial. % 1.11/1.29 apply (zenon_L1067_); trivial. % 1.11/1.29 (* end of lemma zenon_L1105_ *) % 1.11/1.29 assert (zenon_L1106_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> (~(hskp21)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H188 zenon_Ha1 zenon_H1b9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H141 zenon_H8d zenon_H8b zenon_H271 zenon_H270 zenon_H2f zenon_H1 zenon_H32 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L1064_); trivial. % 1.11/1.29 apply (zenon_L1105_); trivial. % 1.11/1.29 (* end of lemma zenon_L1106_ *) % 1.11/1.29 assert (zenon_L1107_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a28))) -> (c2_1 (a28)) -> (c3_1 (a28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c1_1 (a42))) -> (~(c3_1 (a42))) -> (c0_1 (a42)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a39)) -> (~(c3_1 (a39))) -> (~(c0_1 (a39))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_Ha1 zenon_H6e zenon_H2f zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H17c zenon_H17d zenon_H17e zenon_H1b9 zenon_H3c zenon_H3b zenon_H3a zenon_H49 zenon_H3 zenon_H2b zenon_H8b zenon_H8d zenon_H5e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H89 | zenon_intro zenon_H9c ]. % 1.11/1.29 apply (zenon_L37_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_Ha. zenon_intro zenon_H9e. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8f. zenon_intro zenon_H9f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H90. zenon_intro zenon_H91. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H39 | zenon_intro zenon_H71 ]. % 1.11/1.29 apply (zenon_L17_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H63 | zenon_intro zenon_H30 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H142 | zenon_intro zenon_H1ba ]. % 1.11/1.29 apply (zenon_L103_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H112 | zenon_intro zenon_H132 ]. % 1.11/1.29 apply (zenon_L1066_); trivial. % 1.11/1.29 apply (zenon_L136_); trivial. % 1.11/1.29 exact (zenon_H2f zenon_H30). % 1.11/1.29 (* end of lemma zenon_L1107_ *) % 1.11/1.29 assert (zenon_L1108_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a28)) -> (c2_1 (a28)) -> (~(c0_1 (a28))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H6d zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H5e zenon_H8d zenon_H8b zenon_H2b zenon_H49 zenon_H1b9 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2f zenon_H6e zenon_Ha1 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H159 zenon_H15a zenon_H15b zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.29 apply (zenon_L1064_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_Ha. zenon_intro zenon_H186. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17e. zenon_intro zenon_H187. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17c. zenon_intro zenon_H17d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L1107_); trivial. % 1.11/1.29 apply (zenon_L221_); trivial. % 1.11/1.29 (* end of lemma zenon_L1108_ *) % 1.11/1.29 assert (zenon_L1109_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H1b9 zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H6e zenon_H72 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H2b zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.29 apply (zenon_L1065_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.29 apply (zenon_L1106_); trivial. % 1.11/1.29 apply (zenon_L1108_); trivial. % 1.11/1.29 apply (zenon_L54_); trivial. % 1.11/1.29 (* end of lemma zenon_L1109_ *) % 1.11/1.29 assert (zenon_L1110_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H199 zenon_H151 zenon_Hf6 zenon_H111 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H72 zenon_H6e zenon_H32 zenon_H2f zenon_H270 zenon_H271 zenon_H8d zenon_H141 zenon_H1b9 zenon_Ha1 zenon_Hc0 zenon_Hc4 zenon_H106. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.29 apply (zenon_L1109_); trivial. % 1.11/1.29 apply (zenon_L125_); trivial. % 1.11/1.29 (* end of lemma zenon_L1110_ *) % 1.11/1.29 assert (zenon_L1111_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H20e zenon_H138 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H141 zenon_H151 zenon_H7 zenon_H5 zenon_H83 zenon_H127 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H1b9 zenon_H1b1 zenon_H106 zenon_H85 zenon_H87 zenon_H19a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L954_); trivial. % 1.11/1.30 apply (zenon_L1054_); trivial. % 1.11/1.30 apply (zenon_L147_); trivial. % 1.11/1.30 apply (zenon_L1110_); trivial. % 1.11/1.30 (* end of lemma zenon_L1111_ *) % 1.11/1.30 assert (zenon_L1112_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c3_1 (a24)) -> (c1_1 (a24)) -> (~(c2_1 (a24))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c2_1 (a21))) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hf5 zenon_H138 zenon_H85 zenon_H271 zenon_H270 zenon_H2d zenon_H283 zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H57 zenon_H5a zenon_H9d zenon_H9a zenon_H1b1 zenon_Hae zenon_H5f zenon_H111 zenon_H10a zenon_H109 zenon_H108 zenon_Ha zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H129 zenon_H133 zenon_H12a zenon_He0 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H188 zenon_Hf6. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.30 apply (zenon_L1071_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.30 apply (zenon_L865_); trivial. % 1.11/1.30 apply (zenon_L507_); trivial. % 1.11/1.30 (* end of lemma zenon_L1112_ *) % 1.11/1.30 assert (zenon_L1113_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a17)) -> (~(c2_1 (a17))) -> (~(c0_1 (a17))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H121 zenon_H11f zenon_H162 zenon_H1bb zenon_H1bd zenon_H18f zenon_H18e zenon_H18d zenon_H111 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L851_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.30 apply (zenon_L1071_); trivial. % 1.11/1.30 apply (zenon_L869_); trivial. % 1.11/1.30 (* end of lemma zenon_L1113_ *) % 1.11/1.30 assert (zenon_L1114_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H196 zenon_H19b zenon_H151 zenon_Hf5 zenon_H162 zenon_H1bb zenon_H1bd zenon_H111 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_He0 zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H1b9 zenon_H1aa zenon_Hc0 zenon_H188 zenon_H121 zenon_H11f zenon_H19e zenon_H19f zenon_H11a zenon_Hc4. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_L220_); trivial. % 1.11/1.30 apply (zenon_L1113_); trivial. % 1.11/1.30 (* end of lemma zenon_L1114_ *) % 1.11/1.30 assert (zenon_L1115_ : ((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H196 zenon_H19b zenon_H1bb zenon_H20c zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H19 zenon_H49 zenon_H203 zenon_H204 zenon_H205 zenon_H1bd zenon_H5e zenon_H111 zenon_H270 zenon_H271 zenon_H2f zenon_H32 zenon_H6e zenon_H72 zenon_Hf6 zenon_H151. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L1082_); trivial. % 1.11/1.30 apply (zenon_L943_); trivial. % 1.11/1.30 apply (zenon_L246_); trivial. % 1.11/1.30 (* end of lemma zenon_L1115_ *) % 1.11/1.30 assert (zenon_L1116_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H19a zenon_H19b zenon_H1bb zenon_H19 zenon_H1bd zenon_H270 zenon_H271 zenon_H32 zenon_H106 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.30 apply (zenon_L1081_); trivial. % 1.11/1.30 apply (zenon_L1115_); trivial. % 1.11/1.30 (* end of lemma zenon_L1116_ *) % 1.11/1.30 assert (zenon_L1117_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H141 zenon_H20c zenon_H151 zenon_H166 zenon_H111 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H38 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H1b1 zenon_H106 zenon_H1bd zenon_H19 zenon_H2d zenon_H283 zenon_H1b9 zenon_H11f zenon_H121 zenon_H1bb zenon_H19b zenon_H19a. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_L945_); trivial. % 1.11/1.30 apply (zenon_L1116_); trivial. % 1.11/1.30 (* end of lemma zenon_L1117_ *) % 1.11/1.30 assert (zenon_L1118_ : ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H20e zenon_H19a zenon_H87 zenon_H106 zenon_H1b9 zenon_H141 zenon_H17a zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_Hf5 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_Hc4 zenon_Hc0 zenon_Hae zenon_H32 zenon_H2f zenon_Ha zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H47 zenon_H72 zenon_H6e zenon_Hf6 zenon_H111 zenon_H166 zenon_H38 zenon_H151. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_L497_); trivial. % 1.11/1.30 apply (zenon_L1068_); trivial. % 1.11/1.30 (* end of lemma zenon_L1118_ *) % 1.11/1.30 assert (zenon_L1119_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> (~(c1_1 (a10))) -> (~(c3_1 (a10))) -> (c2_1 (a10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp30)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H26c zenon_H26d zenon_He0 zenon_H22b zenon_H1b1 zenon_H1b9 zenon_H11a zenon_H151 zenon_H38 zenon_H166 zenon_H111 zenon_Hf6 zenon_H6e zenon_H72 zenon_H47 zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H32 zenon_Hae zenon_Hc0 zenon_Hc4 zenon_H210 zenon_H211 zenon_H212 zenon_H229 zenon_Hf5 zenon_H188 zenon_H5f zenon_H17a zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H20c zenon_H141 zenon_H14c zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H106 zenon_H1bd zenon_H19 zenon_H1bb zenon_H19b zenon_H19a zenon_H20e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_L497_); trivial. % 1.11/1.30 apply (zenon_L1116_); trivial. % 1.11/1.30 apply (zenon_L744_); trivial. % 1.11/1.30 (* end of lemma zenon_L1119_ *) % 1.11/1.30 assert (zenon_L1120_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H151 zenon_H106 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H283 zenon_H2d zenon_H270 zenon_H271 zenon_H5a zenon_H85 zenon_H138 zenon_H5f zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L1074_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.30 apply (zenon_L1064_); trivial. % 1.11/1.30 apply (zenon_L507_); trivial. % 1.11/1.30 apply (zenon_L332_); trivial. % 1.11/1.30 (* end of lemma zenon_L1120_ *) % 1.11/1.30 assert (zenon_L1121_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H26c zenon_H26d zenon_H14c zenon_H1b1 zenon_H11f zenon_H121 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H162 zenon_H1bd zenon_H19b zenon_H1bb zenon_Hc4 zenon_Hc0 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H111 zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H32 zenon_Hae zenon_H166 zenon_H38 zenon_Hf6 zenon_H151 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H20c zenon_H20e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_L563_); trivial. % 1.11/1.30 apply (zenon_L774_); trivial. % 1.11/1.30 apply (zenon_L1099_); trivial. % 1.11/1.30 (* end of lemma zenon_L1121_ *) % 1.11/1.30 assert (zenon_L1122_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c0_1 (a6)) -> (c3_1 (a6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H26c zenon_H26d zenon_H151 zenon_H111 zenon_He0 zenon_H22b zenon_H1b1 zenon_H1b9 zenon_H14c zenon_Hc0 zenon_H19b zenon_H1bb zenon_H20c zenon_Hf6 zenon_H38 zenon_H166 zenon_Hae zenon_H32 zenon_H270 zenon_H271 zenon_H8d zenon_H9d zenon_Ha1 zenon_H6e zenon_H72 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H47 zenon_Hc4 zenon_Hf5 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H20e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_L996_); trivial. % 1.11/1.30 apply (zenon_L774_); trivial. % 1.11/1.30 apply (zenon_L1102_); trivial. % 1.11/1.30 (* end of lemma zenon_L1122_ *) % 1.11/1.30 assert (zenon_L1123_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H14c zenon_H1bb zenon_H20c zenon_H20e zenon_H19a zenon_H87 zenon_H106 zenon_H1b9 zenon_H17a zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H188 zenon_Hf5 zenon_Hc4 zenon_H47 zenon_H229 zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_H72 zenon_H6e zenon_Ha1 zenon_H9d zenon_H8d zenon_H271 zenon_H270 zenon_H32 zenon_Hae zenon_H166 zenon_H38 zenon_Hf6 zenon_Hc0 zenon_H111 zenon_H141 zenon_H151 zenon_H19b zenon_H22b zenon_H1b1 zenon_He0 zenon_H26d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_L995_); trivial. % 1.11/1.30 apply (zenon_L701_); trivial. % 1.11/1.30 apply (zenon_L1068_); trivial. % 1.11/1.30 apply (zenon_L1101_); trivial. % 1.11/1.30 apply (zenon_L1122_); trivial. % 1.11/1.30 (* end of lemma zenon_L1123_ *) % 1.11/1.30 assert (zenon_L1124_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H151 zenon_Hf5 zenon_H72 zenon_H188 zenon_H1b9 zenon_H14c zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H49 zenon_H5e zenon_H14a zenon_H85 zenon_H138 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H19b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_L1007_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L851_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.30 apply (zenon_L1071_); trivial. % 1.11/1.30 apply (zenon_L1006_); trivial. % 1.11/1.30 apply (zenon_L1079_); trivial. % 1.11/1.30 (* end of lemma zenon_L1124_ *) % 1.11/1.30 assert (zenon_L1125_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp25)\/(hskp3))) -> (~(hskp3)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_Hee zenon_Hec zenon_H32 zenon_Hae zenon_H106 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.30 apply (zenon_L1081_); trivial. % 1.11/1.30 apply (zenon_L1017_); trivial. % 1.11/1.30 (* end of lemma zenon_L1125_ *) % 1.11/1.30 assert (zenon_L1126_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_Ha1 zenon_H127 zenon_H5 zenon_H14c zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H1b9 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_L768_); trivial. % 1.11/1.30 apply (zenon_L852_); trivial. % 1.11/1.30 apply (zenon_L1079_); trivial. % 1.11/1.30 (* end of lemma zenon_L1126_ *) % 1.11/1.30 assert (zenon_L1127_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H151 zenon_Hf5 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H1bb zenon_H72 zenon_H19b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_L1028_); trivial. % 1.11/1.30 apply (zenon_L733_); trivial. % 1.11/1.30 (* end of lemma zenon_L1127_ *) % 1.11/1.30 assert (zenon_L1128_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_He0 zenon_H24d zenon_Hf6 zenon_H5f zenon_H138 zenon_H85 zenon_H14a zenon_H38 zenon_H5e zenon_H1b1 zenon_H9a zenon_H9d zenon_H49 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H1b9 zenon_H1aa zenon_H19f zenon_H19e zenon_Hc0 zenon_H188. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L851_); trivial. % 1.11/1.30 apply (zenon_L647_); trivial. % 1.11/1.30 (* end of lemma zenon_L1128_ *) % 1.11/1.30 assert (zenon_L1129_ : ((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(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)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H14e zenon_H106 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H15b zenon_H15a zenon_H159 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H24d zenon_H289 zenon_H297 zenon_H28a zenon_H5a zenon_H22b zenon_H254 zenon_H253 zenon_H252 zenon_H178 zenon_H17a zenon_H5f zenon_H188. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.30 apply (zenon_L1064_); trivial. % 1.11/1.30 apply (zenon_L1033_); trivial. % 1.11/1.30 apply (zenon_L332_); trivial. % 1.11/1.30 (* end of lemma zenon_L1129_ *) % 1.11/1.30 assert (zenon_L1130_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H19a zenon_H188 zenon_Hc0 zenon_H19e zenon_H19f zenon_H1aa zenon_H1b9 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H5f zenon_H17a zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H5a zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H106 zenon_H151. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L1074_); trivial. % 1.11/1.30 apply (zenon_L1129_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L1074_); trivial. % 1.11/1.30 apply (zenon_L643_); trivial. % 1.11/1.30 (* end of lemma zenon_L1130_ *) % 1.11/1.30 assert (zenon_L1131_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H19a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H17a zenon_H22b zenon_H5a zenon_H106 zenon_H151 zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H1b9 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_L699_); trivial. % 1.11/1.30 apply (zenon_L1128_); trivial. % 1.11/1.30 apply (zenon_L1130_); trivial. % 1.11/1.30 (* end of lemma zenon_L1131_ *) % 1.11/1.30 assert (zenon_L1132_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a36))/\((c1_1 (a36))/\(~(c2_1 (a36))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((hskp20)\/(hskp4))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H19b zenon_H1b9 zenon_H188 zenon_H5a zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H1b1 zenon_H5e zenon_H38 zenon_H14c zenon_H205 zenon_H204 zenon_H203 zenon_H14a zenon_H17a zenon_H5f zenon_He5 zenon_H162 zenon_Hd1 zenon_Hd3 zenon_H106 zenon_Hc4 zenon_H11a zenon_Hc0 zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H229 zenon_H28a zenon_H289 zenon_H297 zenon_H24d zenon_Hf5 zenon_H151 zenon_H1bd zenon_H22b zenon_H19a. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_L699_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L1088_); trivial. % 1.11/1.30 apply (zenon_L647_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L650_); trivial. % 1.11/1.30 apply (zenon_L697_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L650_); trivial. % 1.11/1.30 apply (zenon_L647_); trivial. % 1.11/1.30 apply (zenon_L1130_); trivial. % 1.11/1.30 (* end of lemma zenon_L1132_ *) % 1.11/1.30 assert (zenon_L1133_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (c2_1 (a10)) -> (~(c3_1 (a10))) -> (~(c1_1 (a10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H19a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H17a zenon_H5a zenon_H106 zenon_H151 zenon_Hf5 zenon_H24d zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H229 zenon_H212 zenon_H211 zenon_H210 zenon_H22b zenon_Hf6 zenon_Hc0 zenon_H11a zenon_Hc4 zenon_H188 zenon_H1b9 zenon_Hae zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H49 zenon_H9d zenon_H1b1 zenon_H5e zenon_H38 zenon_H14a zenon_H85 zenon_H138 zenon_H5f zenon_H19b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_L682_); trivial. % 1.11/1.30 apply (zenon_L1128_); trivial. % 1.11/1.30 apply (zenon_L1130_); trivial. % 1.11/1.30 (* end of lemma zenon_L1133_ *) % 1.11/1.30 assert (zenon_L1134_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H199 zenon_H151 zenon_Hf6 zenon_H111 zenon_H188 zenon_H5f zenon_H138 zenon_H85 zenon_H49 zenon_H5a zenon_H5e zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H141 zenon_H2f zenon_H263 zenon_H264 zenon_H265 zenon_H1b9 zenon_H106. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.30 apply (zenon_L1065_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.30 apply (zenon_L1064_); trivial. % 1.11/1.30 apply (zenon_L888_); trivial. % 1.11/1.30 apply (zenon_L125_); trivial. % 1.11/1.30 (* end of lemma zenon_L1134_ *) % 1.11/1.30 assert (zenon_L1135_ : ((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H6d zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.30 apply (zenon_L1004_); trivial. % 1.11/1.30 apply (zenon_L556_); trivial. % 1.11/1.30 (* end of lemma zenon_L1135_ *) % 1.11/1.30 assert (zenon_L1136_ : ((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a24))) -> (c1_1 (a24)) -> (c3_1 (a24)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> (~(c0_1 (a13))) -> (c1_1 (a13)) -> (c2_1 (a13)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hf2 zenon_H72 zenon_H188 zenon_H1b9 zenon_H265 zenon_H264 zenon_H263 zenon_H38 zenon_H22b zenon_H9d zenon_H9a zenon_H108 zenon_H109 zenon_H10a zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H19e zenon_H19f zenon_H1aa zenon_H162 zenon_Ha1 zenon_H5f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.30 apply (zenon_L155_); trivial. % 1.11/1.30 apply (zenon_L1135_); trivial. % 1.11/1.30 (* end of lemma zenon_L1136_ *) % 1.11/1.30 assert (zenon_L1137_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp29)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H24f zenon_H20e zenon_H151 zenon_Hf5 zenon_H72 zenon_H188 zenon_H1b9 zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_Hae zenon_H7 zenon_H5 zenon_H127 zenon_H83 zenon_H162 zenon_Ha1 zenon_H5f zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H14a zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H19b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L388_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.30 apply (zenon_L86_); trivial. % 1.11/1.30 apply (zenon_L1136_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L893_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.30 apply (zenon_L1096_); trivial. % 1.11/1.30 apply (zenon_L1136_); trivial. % 1.11/1.30 apply (zenon_L1097_); trivial. % 1.11/1.30 (* end of lemma zenon_L1137_ *) % 1.11/1.30 assert (zenon_L1138_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp25)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a54))/\((c3_1 (a54))/\(~(c1_1 (a54))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((hskp21)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H26c zenon_H26d zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H188 zenon_H1b9 zenon_H38 zenon_H22b zenon_H9d zenon_H1b1 zenon_H28a zenon_H297 zenon_H289 zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H14c zenon_Hae zenon_H151 zenon_Hf6 zenon_H72 zenon_H6e zenon_H7 zenon_H5 zenon_H83 zenon_H5f zenon_H111 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H1bb zenon_H19b. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.30 apply (zenon_L408_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.30 apply (zenon_L388_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.30 apply (zenon_L263_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.30 apply (zenon_L1002_); trivial. % 1.11/1.30 apply (zenon_L616_); trivial. % 1.11/1.30 apply (zenon_L556_); trivial. % 1.11/1.30 apply (zenon_L264_); trivial. % 1.11/1.30 apply (zenon_L733_); trivial. % 1.11/1.30 (* end of lemma zenon_L1138_ *) % 1.11/1.30 assert (zenon_L1139_ : ((ndr1_0)/\((c2_1 (a10))/\((~(c1_1 (a10)))/\(~(c3_1 (a10)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(~(c3_1 (a12))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp30)\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> (~(c1_1 (a4))) -> (c0_1 (a4)) -> (c2_1 (a4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H2b3 zenon_H2b4 zenon_H14c zenon_H72 zenon_H1bb zenon_H20c zenon_H166 zenon_H20e zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H29e zenon_H29f zenon_H2a0 zenon_H1ec zenon_H38 zenon_H151 zenon_Hf5 zenon_H47 zenon_H229 zenon_He0 zenon_H289 zenon_H297 zenon_H28a zenon_H22b zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H106 zenon_H1b9 zenon_H141 zenon_H5e zenon_H5a zenon_H49 zenon_H138 zenon_H5f zenon_H111 zenon_H19b zenon_H26d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1048_); trivial. % 1.11/1.31 apply (zenon_L1134_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L670_); trivial. % 1.11/1.31 apply (zenon_L1097_); trivial. % 1.11/1.31 apply (zenon_L775_); trivial. % 1.11/1.31 (* end of lemma zenon_L1139_ *) % 1.11/1.31 assert (zenon_L1140_ : ((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H18a zenon_H151 zenon_Hf5 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H297 zenon_H289 zenon_H28a zenon_H9a zenon_H229 zenon_He0 zenon_H24d zenon_Hf6 zenon_H38 zenon_H1b9 zenon_H14a zenon_H265 zenon_H264 zenon_H263 zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L893_); trivial. % 1.11/1.31 apply (zenon_L647_); trivial. % 1.11/1.31 (* end of lemma zenon_L1140_ *) % 1.11/1.31 assert (zenon_L1141_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (c2_1 (a13)) -> (c1_1 (a13)) -> (~(c0_1 (a13))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a5)) -> (~(c0_1 (a5))) -> (~(c1_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H19b zenon_H38 zenon_H1b9 zenon_H14a zenon_H1aa zenon_H19f zenon_H19e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H188 zenon_Hc4 zenon_Hc0 zenon_Ha zenon_H263 zenon_H264 zenon_H265 zenon_H11a zenon_Hf6 zenon_H121 zenon_H11f zenon_He0 zenon_H111 zenon_H252 zenon_H253 zenon_H254 zenon_H229 zenon_H9a zenon_H28a zenon_H289 zenon_H297 zenon_H24d zenon_Hf5 zenon_H151. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L711_); trivial. % 1.11/1.31 apply (zenon_L1140_); trivial. % 1.11/1.31 (* end of lemma zenon_L1141_ *) % 1.11/1.31 assert (zenon_L1142_ : ((ndr1_0)/\((c1_1 (a13))/\((c2_1 (a13))/\(~(c0_1 (a13)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c3_1 (a12))) -> (c0_1 (a12)) -> (c1_1 (a12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> (c2_1 (a5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c3_1 X66)\/(~(c2_1 X66))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a9))) -> (~(c0_1 (a9))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp15))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/((hskp11)\/(hskp19))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> (c0_1 (a1)) -> (~(c2_1 (a1))) -> (~(c1_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a21))/\((~(c2_1 (a21)))/\(~(c3_1 (a21))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H24f zenon_H20e zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H203 zenon_H204 zenon_H205 zenon_H14c zenon_H151 zenon_Hf5 zenon_H24d zenon_H297 zenon_H289 zenon_H28a zenon_H229 zenon_H254 zenon_H253 zenon_H252 zenon_H111 zenon_He0 zenon_H11f zenon_H121 zenon_Hf6 zenon_H11a zenon_H265 zenon_H264 zenon_H263 zenon_Hc0 zenon_Hc4 zenon_H188 zenon_H176 zenon_H2ac zenon_H2ab zenon_H2aa zenon_H14a zenon_H1b9 zenon_H38 zenon_H19b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1141_); trivial. % 1.11/1.31 apply (zenon_L733_); trivial. % 1.11/1.31 (* end of lemma zenon_L1142_ *) % 1.11/1.31 assert (zenon_L1143_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a30))/\((c3_1 (a30))/\(~(c1_1 (a30))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c3_1 X16)\/((~(c0_1 X16))\/(~(c1_1 X16))))))\/(hskp21))) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19))))))\/(hskp12))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a29))/\((~(c2_1 (a29)))/\(~(c3_1 (a29))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp16)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H199 zenon_H19a zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H32 zenon_H271 zenon_H270 zenon_H1bd zenon_H106 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H14c zenon_H6e zenon_Hf6 zenon_H141 zenon_H2f zenon_H20c zenon_H205 zenon_H204 zenon_H203 zenon_H47 zenon_H72 zenon_H38 zenon_H14a zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H17a zenon_H5f zenon_H188 zenon_Hf5 zenon_H111 zenon_H151. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_L1081_); trivial. % 1.11/1.31 apply (zenon_L1055_); trivial. % 1.11/1.31 (* end of lemma zenon_L1143_ *) % 1.11/1.31 assert (zenon_L1144_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a17))/\((~(c0_1 (a17)))/\(~(c2_1 (a17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((hskp7)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a28))/\((c3_1 (a28))/\(~(c0_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a35))/\((~(c0_1 (a35)))/\(~(c3_1 (a35))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a8))/\((c2_1 (a8))/\(c3_1 (a8)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((~(c1_1 X23))\/(~(c2_1 X23))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((~(c1_1 X46))\/(~(c3_1 X46))))))\/(forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a6)) -> (c0_1 (a6)) -> (~(hskp8)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp8)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c1_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a39))/\((~(c0_1 (a39)))/\(~(c3_1 (a39))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a20))/\((c2_1 (a20))/\(c3_1 (a20)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(c3_1 X53)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c2_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a4)) -> (c0_1 (a4)) -> (~(c1_1 (a4))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c0_1 X60))))))\/((hskp30)\/(hskp23))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a76))/\((c1_1 (a76))/\(c3_1 (a76)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c0_1 X17))\/((~(c1_1 X17))\/(~(c3_1 X17))))))\/((hskp14)\/(hskp24))) -> ((hskp31)\/((hskp12)\/(hskp24))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a52))/\((~(c0_1 (a52)))/\(~(c2_1 (a52))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a42))/\((~(c1_1 (a42)))/\(~(c3_1 (a42))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp10))) -> (~(c0_1 (a9))) -> (~(c1_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c2_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c2_1 X7)))))))) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c0_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a24))/\((c3_1 (a24))/\(~(c2_1 (a24))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H199 zenon_H19a zenon_H87 zenon_H106 zenon_Hc4 zenon_Hc0 zenon_Ha1 zenon_H1b9 zenon_H141 zenon_H8d zenon_H271 zenon_H270 zenon_H2f zenon_H32 zenon_H6e zenon_H72 zenon_H38 zenon_H1ec zenon_H2a0 zenon_H29f zenon_H29e zenon_H2aa zenon_H2ab zenon_H2ac zenon_H176 zenon_H5e zenon_H5a zenon_H49 zenon_H85 zenon_H138 zenon_H5f zenon_H188 zenon_H17a zenon_H252 zenon_H253 zenon_H254 zenon_H22b zenon_H28a zenon_H297 zenon_H289 zenon_H24d zenon_H151. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L1109_); trivial. % 1.11/1.31 apply (zenon_L1129_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 (* end of lemma zenon_L1144_ *) % 1.11/1.31 apply NNPP. intro zenon_G. % 1.11/1.31 apply zenon_G. zenon_intro zenon_H2b7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2bb. zenon_intro zenon_H2ba. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bd. zenon_intro zenon_H2bc. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2bf. zenon_intro zenon_H2be. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c1. zenon_intro zenon_H2c0. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2c3. zenon_intro zenon_H2c2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2b4. zenon_intro zenon_H2c6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H26d. zenon_intro zenon_H2c7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H20e. zenon_intro zenon_H2c8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H19a. zenon_intro zenon_H2c9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H19b. zenon_intro zenon_H2ca. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H151. zenon_intro zenon_H2cb. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H189. zenon_intro zenon_H2cc. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H106. zenon_intro zenon_H2cd. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_Hf5. zenon_intro zenon_H2ce. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_Hf6. zenon_intro zenon_H2cf. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H201. zenon_intro zenon_H2d2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_Hc4. zenon_intro zenon_H2d3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_He5. zenon_intro zenon_H2d4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H72. zenon_intro zenon_H2d5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H2d7. zenon_intro zenon_H2d6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H188. zenon_intro zenon_H2d8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H5f. zenon_intro zenon_H2d9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Hae. zenon_intro zenon_H2da. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H202. zenon_intro zenon_H2dd. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H1d6. zenon_intro zenon_H2de. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_Ha1. zenon_intro zenon_H2df. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H38. zenon_intro zenon_H2e0. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H5e. zenon_intro zenon_H2e1. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24d. zenon_intro zenon_H2e2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H261. zenon_intro zenon_H2e3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e5. zenon_intro zenon_H2e4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H236. zenon_intro zenon_H2e6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H238. zenon_intro zenon_H2e7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H22b. zenon_intro zenon_H2e8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H101. zenon_intro zenon_H2e9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H24b. zenon_intro zenon_H2ea. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H127. zenon_intro zenon_H2eb. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H121. zenon_intro zenon_H2ec. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H1bd. zenon_intro zenon_H2ed. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1bf. zenon_intro zenon_H2ee. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H87. zenon_intro zenon_H2ef. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H2f0. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H162. zenon_intro zenon_H2f2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H138. zenon_intro zenon_H2f3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H17a. zenon_intro zenon_H2f4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H83. zenon_intro zenon_H2f5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H287. zenon_intro zenon_H2f6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H19. zenon_intro zenon_H2f7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H166. zenon_intro zenon_H2f8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_Hc0. zenon_intro zenon_H2f9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H6e. zenon_intro zenon_H2fa. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H1bb. zenon_intro zenon_H2fb. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Hf0. zenon_intro zenon_H2fc. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H295. zenon_intro zenon_H2fd. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H47. zenon_intro zenon_H2fe. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H1b9. zenon_intro zenon_H2ff. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H14c. zenon_intro zenon_H300. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H302. zenon_intro zenon_H301. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H11a. zenon_intro zenon_H303. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_Hd3. zenon_intro zenon_H304. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H1ec. zenon_intro zenon_H305. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H141. zenon_intro zenon_H306. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H20c. zenon_intro zenon_H307. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H309. zenon_intro zenon_H308. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H176. zenon_intro zenon_H30a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30c. zenon_intro zenon_H30b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H283. zenon_intro zenon_H30d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H229. zenon_intro zenon_H30e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H25d. zenon_intro zenon_H30f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H1b1. zenon_intro zenon_H310. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H32. zenon_intro zenon_H311. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_He0. zenon_intro zenon_H312. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H16e. zenon_intro zenon_H313. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H14a. zenon_intro zenon_H314. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_Hee. zenon_intro zenon_H315. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H317. zenon_intro zenon_H316. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H111. zenon_intro zenon_H31c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31e. zenon_intro zenon_H31d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H1c8. zenon_intro zenon_H31f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H285. zenon_intro zenon_H320. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H322. zenon_intro zenon_H321. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H8d. zenon_intro zenon_H323. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H325. zenon_intro zenon_H324. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H5a. zenon_intro zenon_H326. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H328. zenon_intro zenon_H327. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_Hb4. zenon_intro zenon_H329. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H9d. zenon_intro zenon_H32a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H33. zenon_intro zenon_H32b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H49. zenon_intro zenon_H32c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H32e. zenon_intro zenon_H32d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H332. zenon_intro zenon_H331. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H333. zenon_intro zenon_H7. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H25f | zenon_intro zenon_H334 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H234 | zenon_intro zenon_H335 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2d | zenon_intro zenon_H336 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L4_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_Ha. zenon_intro zenon_H61. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_He. zenon_intro zenon_H62. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.11/1.31 apply (zenon_L16_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.31 apply (zenon_L20_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.31 apply (zenon_L29_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.31 apply (zenon_L33_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.31 apply (zenon_L69_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_L77_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_L91_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_L109_); trivial. % 1.11/1.31 apply (zenon_L148_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L157_); trivial. % 1.11/1.31 apply (zenon_L172_); trivial. % 1.11/1.31 apply (zenon_L217_); trivial. % 1.11/1.31 apply (zenon_L226_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L248_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L265_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L267_); trivial. % 1.11/1.31 apply (zenon_L172_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L269_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L289_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L310_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L311_); trivial. % 1.11/1.31 apply (zenon_L314_); trivial. % 1.11/1.31 apply (zenon_L320_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L310_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L225_); trivial. % 1.11/1.31 apply (zenon_L320_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L248_); trivial. % 1.11/1.31 apply (zenon_L330_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L269_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_L340_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L220_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L345_); trivial. % 1.11/1.31 apply (zenon_L339_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L248_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L347_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L350_); trivial. % 1.11/1.31 apply (zenon_L362_); trivial. % 1.11/1.31 apply (zenon_L364_); trivial. % 1.11/1.31 apply (zenon_L372_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L268_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L376_); trivial. % 1.11/1.31 apply (zenon_L144_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L381_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L384_); trivial. % 1.11/1.31 apply (zenon_L288_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L381_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L384_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L316_); trivial. % 1.11/1.31 apply (zenon_L379_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L234_); trivial. % 1.11/1.31 apply (zenon_L324_); trivial. % 1.11/1.31 apply (zenon_L247_); trivial. % 1.11/1.31 apply (zenon_L385_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L391_); trivial. % 1.11/1.31 apply (zenon_L405_); trivial. % 1.11/1.31 apply (zenon_L409_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L416_); trivial. % 1.11/1.31 apply (zenon_L418_); trivial. % 1.11/1.31 apply (zenon_L432_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L435_); trivial. % 1.11/1.31 apply (zenon_L442_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L391_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L443_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L445_); trivial. % 1.11/1.31 apply (zenon_L339_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L446_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L447_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L448_); trivial. % 1.11/1.31 apply (zenon_L364_); trivial. % 1.11/1.31 apply (zenon_L449_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L450_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L381_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L444_); trivial. % 1.11/1.31 apply (zenon_L379_); trivial. % 1.11/1.31 apply (zenon_L451_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L435_); trivial. % 1.11/1.31 apply (zenon_L385_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L470_); trivial. % 1.11/1.31 apply (zenon_L480_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L482_); trivial. % 1.11/1.31 apply (zenon_L217_); trivial. % 1.11/1.31 apply (zenon_L226_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L487_); trivial. % 1.11/1.31 apply (zenon_L489_); trivial. % 1.11/1.31 apply (zenon_L217_); trivial. % 1.11/1.31 apply (zenon_L226_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L493_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L265_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L487_); trivial. % 1.11/1.31 apply (zenon_L495_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L498_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L289_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L310_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L311_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L181_); trivial. % 1.11/1.31 apply (zenon_L504_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L189_); trivial. % 1.11/1.31 apply (zenon_L504_); trivial. % 1.11/1.31 apply (zenon_L509_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L310_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L225_); trivial. % 1.11/1.31 apply (zenon_L509_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L493_); trivial. % 1.11/1.31 apply (zenon_L330_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L470_); trivial. % 1.11/1.31 apply (zenon_L521_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L347_); trivial. % 1.11/1.31 apply (zenon_L531_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L220_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L532_); trivial. % 1.11/1.31 apply (zenon_L339_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L487_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L531_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L220_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L532_); trivial. % 1.11/1.31 apply (zenon_L536_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L493_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L86_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.31 apply (zenon_L254_); trivial. % 1.11/1.31 apply (zenon_L252_); trivial. % 1.11/1.31 apply (zenon_L163_); trivial. % 1.11/1.31 apply (zenon_L260_); trivial. % 1.11/1.31 apply (zenon_L541_); trivial. % 1.11/1.31 apply (zenon_L548_); trivial. % 1.11/1.31 apply (zenon_L372_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L497_); trivial. % 1.11/1.31 apply (zenon_L521_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L381_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L550_); trivial. % 1.11/1.31 apply (zenon_L288_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L381_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L550_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_L79_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_L551_); trivial. % 1.11/1.31 apply (zenon_L507_); trivial. % 1.11/1.31 apply (zenon_L379_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L552_); trivial. % 1.11/1.31 apply (zenon_L385_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L554_); trivial. % 1.11/1.31 apply (zenon_L480_); trivial. % 1.11/1.31 apply (zenon_L405_); trivial. % 1.11/1.31 apply (zenon_L409_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L498_); trivial. % 1.11/1.31 apply (zenon_L432_); trivial. % 1.11/1.31 apply (zenon_L555_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L554_); trivial. % 1.11/1.31 apply (zenon_L521_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L443_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L559_); trivial. % 1.11/1.31 apply (zenon_L339_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L560_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L562_); trivial. % 1.11/1.31 apply (zenon_L339_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L564_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L447_); trivial. % 1.11/1.31 apply (zenon_L541_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L560_); trivial. % 1.11/1.31 apply (zenon_L547_); trivial. % 1.11/1.31 apply (zenon_L449_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L416_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L514_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L565_); trivial. % 1.11/1.31 apply (zenon_L125_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L566_); trivial. % 1.11/1.31 apply (zenon_L421_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L566_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L567_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_L79_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_L551_); trivial. % 1.11/1.31 apply (zenon_L556_); trivial. % 1.11/1.31 apply (zenon_L379_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L555_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_Ha. zenon_intro zenon_H33d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H28a. zenon_intro zenon_H33e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H289. zenon_intro zenon_H297. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L580_); trivial. % 1.11/1.31 apply (zenon_L583_); trivial. % 1.11/1.31 apply (zenon_L609_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L612_); trivial. % 1.11/1.31 apply (zenon_L620_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L629_); trivial. % 1.11/1.31 apply (zenon_L630_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L631_); trivial. % 1.11/1.31 apply (zenon_L632_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L575_); trivial. % 1.11/1.31 apply (zenon_L635_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_L583_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L641_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L587_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L334_); trivial. % 1.11/1.31 apply (zenon_L642_); trivial. % 1.11/1.31 apply (zenon_L640_); trivial. % 1.11/1.31 apply (zenon_L645_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L631_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L641_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L587_); trivial. % 1.11/1.31 apply (zenon_L362_); trivial. % 1.11/1.31 apply (zenon_L647_); trivial. % 1.11/1.31 apply (zenon_L651_); trivial. % 1.11/1.31 apply (zenon_L657_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L658_); trivial. % 1.11/1.31 apply (zenon_L665_); trivial. % 1.11/1.31 apply (zenon_L666_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L668_); trivial. % 1.11/1.31 apply (zenon_L674_); trivial. % 1.11/1.31 apply (zenon_L677_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L390_); trivial. % 1.11/1.31 apply (zenon_L635_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L417_); trivial. % 1.11/1.31 apply (zenon_L582_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L641_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L444_); trivial. % 1.11/1.31 apply (zenon_L642_); trivial. % 1.11/1.31 apply (zenon_L640_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L446_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L447_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L448_); trivial. % 1.11/1.31 apply (zenon_L647_); trivial. % 1.11/1.31 apply (zenon_L657_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L450_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L679_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L444_); trivial. % 1.11/1.31 apply (zenon_L680_); trivial. % 1.11/1.31 apply (zenon_L678_); trivial. % 1.11/1.31 apply (zenon_L684_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L688_); trivial. % 1.11/1.31 apply (zenon_L609_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L690_); trivial. % 1.11/1.31 apply (zenon_L247_); trivial. % 1.11/1.31 apply (zenon_L620_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L688_); trivial. % 1.11/1.31 apply (zenon_L630_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L552_); trivial. % 1.11/1.31 apply (zenon_L632_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L462_); trivial. % 1.11/1.31 apply (zenon_L692_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L514_); trivial. % 1.11/1.31 apply (zenon_L693_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L641_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L587_); trivial. % 1.11/1.31 apply (zenon_L524_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L587_); trivial. % 1.11/1.31 apply (zenon_L530_); trivial. % 1.11/1.31 apply (zenon_L695_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L644_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_L175_); trivial. % 1.11/1.31 apply (zenon_L597_); trivial. % 1.11/1.31 apply (zenon_L586_); trivial. % 1.11/1.31 apply (zenon_L524_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L696_); trivial. % 1.11/1.31 apply (zenon_L586_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L696_); trivial. % 1.11/1.31 apply (zenon_L523_); trivial. % 1.11/1.31 apply (zenon_L695_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L490_); trivial. % 1.11/1.31 apply (zenon_L697_); trivial. % 1.11/1.31 apply (zenon_L698_); trivial. % 1.11/1.31 apply (zenon_L247_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L699_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L540_); trivial. % 1.11/1.31 apply (zenon_L695_); trivial. % 1.11/1.31 apply (zenon_L651_); trivial. % 1.11/1.31 apply (zenon_L657_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L702_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L383_); trivial. % 1.11/1.31 apply (zenon_L513_); trivial. % 1.11/1.31 apply (zenon_L678_); trivial. % 1.11/1.31 apply (zenon_L693_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L703_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L549_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L383_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.31 apply (zenon_L704_); trivial. % 1.11/1.31 apply (zenon_L50_); trivial. % 1.11/1.31 apply (zenon_L54_); trivial. % 1.11/1.31 apply (zenon_L62_); trivial. % 1.11/1.31 apply (zenon_L705_); trivial. % 1.11/1.31 apply (zenon_L678_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L702_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L383_); trivial. % 1.11/1.31 apply (zenon_L245_); trivial. % 1.11/1.31 apply (zenon_L678_); trivial. % 1.11/1.31 apply (zenon_L706_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L708_); trivial. % 1.11/1.31 apply (zenon_L665_); trivial. % 1.11/1.31 apply (zenon_L666_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L709_); trivial. % 1.11/1.31 apply (zenon_L674_); trivial. % 1.11/1.31 apply (zenon_L677_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L553_); trivial. % 1.11/1.31 apply (zenon_L692_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L417_); trivial. % 1.11/1.31 apply (zenon_L693_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L637_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.31 apply (zenon_L387_); trivial. % 1.11/1.31 apply (zenon_L710_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L561_); trivial. % 1.11/1.31 apply (zenon_L586_); trivial. % 1.11/1.31 apply (zenon_L558_); trivial. % 1.11/1.31 apply (zenon_L695_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L564_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L711_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L561_); trivial. % 1.11/1.31 apply (zenon_L361_); trivial. % 1.11/1.31 apply (zenon_L558_); trivial. % 1.11/1.31 apply (zenon_L647_); trivial. % 1.11/1.31 apply (zenon_L657_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L497_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L417_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L565_); trivial. % 1.11/1.31 apply (zenon_L678_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L679_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L567_); trivial. % 1.11/1.31 apply (zenon_L678_); trivial. % 1.11/1.31 apply (zenon_L684_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H33f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H29f. zenon_intro zenon_H340. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H2a0. zenon_intro zenon_H29e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2d | zenon_intro zenon_H336 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L228_); trivial. % 1.11/1.31 apply (zenon_L712_); trivial. % 1.11/1.31 apply (zenon_L689_); trivial. % 1.11/1.31 apply (zenon_L713_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L718_); trivial. % 1.11/1.31 apply (zenon_L720_); trivial. % 1.11/1.31 apply (zenon_L731_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L611_); trivial. % 1.11/1.31 apply (zenon_L123_); trivial. % 1.11/1.31 apply (zenon_L233_); trivial. % 1.11/1.31 apply (zenon_L239_); trivial. % 1.11/1.31 apply (zenon_L732_); trivial. % 1.11/1.31 apply (zenon_L734_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L73_); trivial. % 1.11/1.31 apply (zenon_L622_); trivial. % 1.11/1.31 apply (zenon_L712_); trivial. % 1.11/1.31 apply (zenon_L233_); trivial. % 1.11/1.31 apply (zenon_L713_); trivial. % 1.11/1.31 apply (zenon_L739_); trivial. % 1.11/1.31 apply (zenon_L743_); trivial. % 1.11/1.31 apply (zenon_L745_); trivial. % 1.11/1.31 apply (zenon_L746_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L747_); trivial. % 1.11/1.31 apply (zenon_L713_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L748_); trivial. % 1.11/1.31 apply (zenon_L720_); trivial. % 1.11/1.31 apply (zenon_L752_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L446_); trivial. % 1.11/1.31 apply (zenon_L734_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L416_); trivial. % 1.11/1.31 apply (zenon_L739_); trivial. % 1.11/1.31 apply (zenon_L755_); trivial. % 1.11/1.31 apply (zenon_L745_); trivial. % 1.11/1.31 apply (zenon_L746_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L761_); trivial. % 1.11/1.31 apply (zenon_L731_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L762_); trivial. % 1.11/1.31 apply (zenon_L734_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L763_); trivial. % 1.11/1.31 apply (zenon_L743_); trivial. % 1.11/1.31 apply (zenon_L745_); trivial. % 1.11/1.31 apply (zenon_L746_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L761_); trivial. % 1.11/1.31 apply (zenon_L752_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L762_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L447_); trivial. % 1.11/1.31 apply (zenon_L264_); trivial. % 1.11/1.31 apply (zenon_L733_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L763_); trivial. % 1.11/1.31 apply (zenon_L755_); trivial. % 1.11/1.31 apply (zenon_L745_); trivial. % 1.11/1.31 apply (zenon_L746_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_Ha. zenon_intro zenon_H33d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H28a. zenon_intro zenon_H33e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H289. zenon_intro zenon_H297. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L580_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L718_); trivial. % 1.11/1.31 apply (zenon_L628_); trivial. % 1.11/1.31 apply (zenon_L766_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L612_); trivial. % 1.11/1.31 apply (zenon_L767_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L629_); trivial. % 1.11/1.31 apply (zenon_L769_); trivial. % 1.11/1.31 apply (zenon_L745_); trivial. % 1.11/1.31 apply (zenon_L746_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L658_); trivial. % 1.11/1.31 apply (zenon_L771_); trivial. % 1.11/1.31 apply (zenon_L772_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L668_); trivial. % 1.11/1.31 apply (zenon_L773_); trivial. % 1.11/1.31 apply (zenon_L775_); trivial. % 1.11/1.31 apply (zenon_L746_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L687_); trivial. % 1.11/1.31 apply (zenon_L776_); trivial. % 1.11/1.31 apply (zenon_L766_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L762_); trivial. % 1.11/1.31 apply (zenon_L767_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L777_); trivial. % 1.11/1.31 apply (zenon_L776_); trivial. % 1.11/1.31 apply (zenon_L769_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L777_); trivial. % 1.11/1.31 apply (zenon_L732_); trivial. % 1.11/1.31 apply (zenon_L744_); trivial. % 1.11/1.31 apply (zenon_L746_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Ha. zenon_intro zenon_H341. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H2ac. zenon_intro zenon_H342. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H2aa. zenon_intro zenon_H2ab. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H234 | zenon_intro zenon_H335 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2d | zenon_intro zenon_H336 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L809_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L819_); trivial. % 1.11/1.31 apply (zenon_L824_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L86_); trivial. % 1.11/1.31 apply (zenon_L827_); trivial. % 1.11/1.31 apply (zenon_L824_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L834_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L837_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L839_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L842_); trivial. % 1.11/1.31 apply (zenon_L495_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L848_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L853_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L854_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_L79_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc1 ]. % 1.11/1.31 apply (zenon_L81_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb9. zenon_intro zenon_Hc3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H15 | zenon_intro zenon_H31 ]. % 1.11/1.31 apply (zenon_L779_); trivial. % 1.11/1.31 apply (zenon_L855_); trivial. % 1.11/1.31 apply (zenon_L207_); trivial. % 1.11/1.31 apply (zenon_L308_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L820_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L854_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_L79_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L127_); trivial. % 1.11/1.31 apply (zenon_L857_); trivial. % 1.11/1.31 apply (zenon_L207_); trivial. % 1.11/1.31 apply (zenon_L858_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L859_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L325_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L854_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_L79_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.31 apply (zenon_L240_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_L861_); trivial. % 1.11/1.31 apply (zenon_L207_); trivial. % 1.11/1.31 apply (zenon_L841_); trivial. % 1.11/1.31 apply (zenon_L309_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L809_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L819_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L807_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L867_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L868_); trivial. % 1.11/1.31 apply (zenon_L866_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L872_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L854_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L86_); trivial. % 1.11/1.31 apply (zenon_L874_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L876_); trivial. % 1.11/1.31 apply (zenon_L872_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L834_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L819_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L820_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L867_); trivial. % 1.11/1.31 apply (zenon_L877_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L839_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L842_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L848_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L853_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L854_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L878_); trivial. % 1.11/1.31 apply (zenon_L874_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L876_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L838_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 1.11/1.31 apply (zenon_L65_); trivial. % 1.11/1.31 apply (zenon_L880_); trivial. % 1.11/1.31 apply (zenon_L814_); trivial. % 1.11/1.31 apply (zenon_L882_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L820_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L838_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L127_); trivial. % 1.11/1.31 apply (zenon_L883_); trivial. % 1.11/1.31 apply (zenon_L814_); trivial. % 1.11/1.31 apply (zenon_L884_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L859_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L325_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L839_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L878_); trivial. % 1.11/1.31 apply (zenon_L841_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L890_); trivial. % 1.11/1.31 apply (zenon_L898_); trivial. % 1.11/1.31 apply (zenon_L901_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L902_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L905_); trivial. % 1.11/1.31 apply (zenon_L908_); trivial. % 1.11/1.31 apply (zenon_L909_); trivial. % 1.11/1.31 apply (zenon_L913_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L890_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L914_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L893_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L822_); trivial. % 1.11/1.31 apply (zenon_L916_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L446_); trivial. % 1.11/1.31 apply (zenon_L917_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L902_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L838_); trivial. % 1.11/1.31 apply (zenon_L908_); trivial. % 1.11/1.31 apply (zenon_L919_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L820_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L838_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Ha. zenon_intro zenon_Hf3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H77. zenon_intro zenon_Hf4. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H76. zenon_intro zenon_H74. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3 | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L127_); trivial. % 1.11/1.31 apply (zenon_L903_); trivial. % 1.11/1.31 apply (zenon_L814_); trivial. % 1.11/1.31 apply (zenon_L919_); trivial. % 1.11/1.31 apply (zenon_L913_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L925_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L929_); trivial. % 1.11/1.31 apply (zenon_L824_); trivial. % 1.11/1.31 apply (zenon_L930_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L933_); trivial. % 1.11/1.31 apply (zenon_L489_); trivial. % 1.11/1.31 apply (zenon_L824_); trivial. % 1.11/1.31 apply (zenon_L930_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L949_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L952_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L933_); trivial. % 1.11/1.31 apply (zenon_L495_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_L953_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L956_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L853_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L958_); trivial. % 1.11/1.31 apply (zenon_L960_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L820_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L958_); trivial. % 1.11/1.31 apply (zenon_L963_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L966_); trivial. % 1.11/1.31 apply (zenon_L960_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L820_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L966_); trivial. % 1.11/1.31 apply (zenon_L963_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L967_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L325_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L839_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_L241_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.31 apply (zenon_L263_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3c. zenon_intro zenon_H70. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H174 | zenon_intro zenon_H185 ]. % 1.11/1.31 apply (zenon_L861_); trivial. % 1.11/1.31 apply (zenon_L968_); trivial. % 1.11/1.31 apply (zenon_L969_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Ha. zenon_intro zenon_H104. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hc7. zenon_intro zenon_H105. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L282_); trivial. % 1.11/1.31 apply (zenon_L494_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L956_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L970_); trivial. % 1.11/1.31 apply (zenon_L973_); trivial. % 1.11/1.31 apply (zenon_L872_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_L977_); trivial. % 1.11/1.31 apply (zenon_L872_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L949_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L978_); trivial. % 1.11/1.31 apply (zenon_L973_); trivial. % 1.11/1.31 apply (zenon_L872_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_L977_); trivial. % 1.11/1.31 apply (zenon_L953_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L956_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L853_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L974_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_L878_); trivial. % 1.11/1.31 apply (zenon_L975_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L976_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L979_); trivial. % 1.11/1.31 apply (zenon_L882_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L820_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L979_); trivial. % 1.11/1.31 apply (zenon_L884_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L967_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L325_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H168 ]. % 1.11/1.31 apply (zenon_L839_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hfa. zenon_intro zenon_H16a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hf8. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H43 | zenon_intro zenon_Hf2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H45 | zenon_intro zenon_He4 ]. % 1.11/1.31 apply (zenon_L241_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Ha. zenon_intro zenon_He6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H65. zenon_intro zenon_He7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H66. zenon_intro zenon_H64. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1 | zenon_intro zenon_H6d ]. % 1.11/1.31 apply (zenon_L240_); trivial. % 1.11/1.31 apply (zenon_L980_); trivial. % 1.11/1.31 apply (zenon_L969_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L246_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L986_); trivial. % 1.11/1.31 apply (zenon_L898_); trivial. % 1.11/1.31 apply (zenon_L901_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L986_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L910_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Ha. zenon_intro zenon_H19c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H159. zenon_intro zenon_H19d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H15a. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L988_); trivial. % 1.11/1.31 apply (zenon_L991_); trivial. % 1.11/1.31 apply (zenon_L909_); trivial. % 1.11/1.31 apply (zenon_L994_); trivial. % 1.11/1.31 apply (zenon_L997_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L986_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L914_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L893_); trivial. % 1.11/1.31 apply (zenon_L972_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L560_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L893_); trivial. % 1.11/1.31 apply (zenon_L871_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L564_); trivial. % 1.11/1.31 apply (zenon_L917_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L986_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_L998_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L893_); trivial. % 1.11/1.31 apply (zenon_L998_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_Ha. zenon_intro zenon_H197. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L151_); trivial. % 1.11/1.31 apply (zenon_L1000_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L893_); trivial. % 1.11/1.31 apply (zenon_L1000_); trivial. % 1.11/1.31 apply (zenon_L997_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_Ha. zenon_intro zenon_H33d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H28a. zenon_intro zenon_H33e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H289. zenon_intro zenon_H297. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L921_); trivial. % 1.11/1.31 apply (zenon_L1001_); trivial. % 1.11/1.31 apply (zenon_L1013_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1015_); trivial. % 1.11/1.31 apply (zenon_L1018_); trivial. % 1.11/1.31 apply (zenon_L1019_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1022_); trivial. % 1.11/1.31 apply (zenon_L1023_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1027_); trivial. % 1.11/1.31 apply (zenon_L1030_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1032_); trivial. % 1.11/1.31 apply (zenon_L1001_); trivial. % 1.11/1.31 apply (zenon_L1035_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1037_); trivial. % 1.11/1.31 apply (zenon_L1018_); trivial. % 1.11/1.31 apply (zenon_L1035_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1022_); trivial. % 1.11/1.31 apply (zenon_L1035_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1027_); trivial. % 1.11/1.31 apply (zenon_L706_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L747_); trivial. % 1.11/1.31 apply (zenon_L802_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_L889_); trivial. % 1.11/1.31 apply (zenon_L1045_); trivial. % 1.11/1.31 apply (zenon_L1047_); trivial. % 1.11/1.31 apply (zenon_L1050_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L711_); trivial. % 1.11/1.31 apply (zenon_L1031_); trivial. % 1.11/1.31 apply (zenon_L147_); trivial. % 1.11/1.31 apply (zenon_L889_); trivial. % 1.11/1.31 apply (zenon_L1052_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L446_); trivial. % 1.11/1.31 apply (zenon_L1035_); trivial. % 1.11/1.31 apply (zenon_L1053_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L925_); trivial. % 1.11/1.31 apply (zenon_L1013_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1056_); trivial. % 1.11/1.31 apply (zenon_L1057_); trivial. % 1.11/1.31 apply (zenon_L1019_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L777_); trivial. % 1.11/1.31 apply (zenon_L924_); trivial. % 1.11/1.31 apply (zenon_L1023_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1058_); trivial. % 1.11/1.31 apply (zenon_L1030_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1032_); trivial. % 1.11/1.31 apply (zenon_L924_); trivial. % 1.11/1.31 apply (zenon_L1035_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1059_); trivial. % 1.11/1.31 apply (zenon_L1057_); trivial. % 1.11/1.31 apply (zenon_L1035_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1061_); trivial. % 1.11/1.31 apply (zenon_L924_); trivial. % 1.11/1.31 apply (zenon_L1035_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1058_); trivial. % 1.11/1.31 apply (zenon_L706_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1062_); trivial. % 1.11/1.31 apply (zenon_L889_); trivial. % 1.11/1.31 apply (zenon_L1045_); trivial. % 1.11/1.31 apply (zenon_L1047_); trivial. % 1.11/1.31 apply (zenon_L1050_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1063_); trivial. % 1.11/1.31 apply (zenon_L889_); trivial. % 1.11/1.31 apply (zenon_L1052_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L1059_); trivial. % 1.11/1.31 apply (zenon_L434_); trivial. % 1.11/1.31 apply (zenon_L1052_); trivial. % 1.11/1.31 apply (zenon_L1053_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H33f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H29f. zenon_intro zenon_H340. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H2a0. zenon_intro zenon_H29e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2d | zenon_intro zenon_H336 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1069_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L819_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L851_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L1072_); trivial. % 1.11/1.31 apply (zenon_L1073_); trivial. % 1.11/1.31 apply (zenon_L1079_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1084_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L837_); trivial. % 1.11/1.31 apply (zenon_L733_); trivial. % 1.11/1.31 apply (zenon_L1087_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L803_); trivial. % 1.11/1.31 apply (zenon_L1068_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L819_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L851_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L1072_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L1085_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1084_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L836_); trivial. % 1.11/1.31 apply (zenon_L1089_); trivial. % 1.11/1.31 apply (zenon_L1091_); trivial. % 1.11/1.31 apply (zenon_L733_); trivial. % 1.11/1.31 apply (zenon_L1087_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1095_); trivial. % 1.11/1.31 apply (zenon_L1098_); trivial. % 1.11/1.31 apply (zenon_L1100_); trivial. % 1.11/1.31 apply (zenon_L1103_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1095_); trivial. % 1.11/1.31 apply (zenon_L1104_); trivial. % 1.11/1.31 apply (zenon_L1100_); trivial. % 1.11/1.31 apply (zenon_L1103_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1111_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L929_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L851_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L1112_); trivial. % 1.11/1.31 apply (zenon_L1073_); trivial. % 1.11/1.31 apply (zenon_L1114_); trivial. % 1.11/1.31 apply (zenon_L1079_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1117_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L952_); trivial. % 1.11/1.31 apply (zenon_L733_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1118_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L853_); trivial. % 1.11/1.31 apply (zenon_L1079_); trivial. % 1.11/1.31 apply (zenon_L1119_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_L955_); trivial. % 1.11/1.31 apply (zenon_L1068_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L970_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.31 apply (zenon_L851_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_Ha. zenon_intro zenon_H14f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H109. zenon_intro zenon_H150. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H57 | zenon_intro zenon_H103 ]. % 1.11/1.31 apply (zenon_L1112_); trivial. % 1.11/1.31 apply (zenon_L332_); trivial. % 1.11/1.31 apply (zenon_L1114_); trivial. % 1.11/1.31 apply (zenon_L1120_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1117_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.31 apply (zenon_L978_); trivial. % 1.11/1.31 apply (zenon_L1089_); trivial. % 1.11/1.31 apply (zenon_L1091_); trivial. % 1.11/1.31 apply (zenon_L733_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.31 apply (zenon_L1118_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L853_); trivial. % 1.11/1.32 apply (zenon_L1120_); trivial. % 1.11/1.32 apply (zenon_L1119_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_L1111_); trivial. % 1.11/1.32 apply (zenon_L1098_); trivial. % 1.11/1.32 apply (zenon_L1121_); trivial. % 1.11/1.32 apply (zenon_L1123_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L985_); trivial. % 1.11/1.32 apply (zenon_L1068_); trivial. % 1.11/1.32 apply (zenon_L1104_); trivial. % 1.11/1.32 apply (zenon_L1121_); trivial. % 1.11/1.32 apply (zenon_L1123_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_Ha. zenon_intro zenon_H33d. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H28a. zenon_intro zenon_H33e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H289. zenon_intro zenon_H297. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_Hec | zenon_intro zenon_H337 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_L1069_); trivial. % 1.11/1.32 apply (zenon_L1124_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1015_); trivial. % 1.11/1.32 apply (zenon_L1125_); trivial. % 1.11/1.32 apply (zenon_L767_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1021_); trivial. % 1.11/1.32 apply (zenon_L1068_); trivial. % 1.11/1.32 apply (zenon_L1126_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1026_); trivial. % 1.11/1.32 apply (zenon_L1125_); trivial. % 1.11/1.32 apply (zenon_L1127_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1032_); trivial. % 1.11/1.32 apply (zenon_L1068_); trivial. % 1.11/1.32 apply (zenon_L1131_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1037_); trivial. % 1.11/1.32 apply (zenon_L1125_); trivial. % 1.11/1.32 apply (zenon_L1132_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1061_); trivial. % 1.11/1.32 apply (zenon_L1068_); trivial. % 1.11/1.32 apply (zenon_L1133_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H178 | zenon_intro zenon_H196 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.32 apply (zenon_L1060_); trivial. % 1.11/1.32 apply (zenon_L239_); trivial. % 1.11/1.32 apply (zenon_L1025_); trivial. % 1.11/1.32 apply (zenon_L1125_); trivial. % 1.11/1.32 apply (zenon_L1127_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.32 apply (zenon_L747_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.32 apply (zenon_L1094_); trivial. % 1.11/1.32 apply (zenon_L108_); trivial. % 1.11/1.32 apply (zenon_L1134_); trivial. % 1.11/1.32 apply (zenon_L1137_); trivial. % 1.11/1.32 apply (zenon_L1138_); trivial. % 1.11/1.32 apply (zenon_L1139_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.32 apply (zenon_L711_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.32 apply (zenon_L1094_); trivial. % 1.11/1.32 apply (zenon_L634_); trivial. % 1.11/1.32 apply (zenon_L1134_); trivial. % 1.11/1.32 apply (zenon_L1131_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.32 apply (zenon_L711_); trivial. % 1.11/1.32 apply (zenon_L239_); trivial. % 1.11/1.32 apply (zenon_L774_); trivial. % 1.11/1.32 apply (zenon_L1142_); trivial. % 1.11/1.32 apply (zenon_L1139_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_Ha. zenon_intro zenon_H33b. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H270. zenon_intro zenon_H33c. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H271. zenon_intro zenon_H27c. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H338 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_L1111_); trivial. % 1.11/1.32 apply (zenon_L1124_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1056_); trivial. % 1.11/1.32 apply (zenon_L1143_); trivial. % 1.11/1.32 apply (zenon_L767_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L777_); trivial. % 1.11/1.32 apply (zenon_L1110_); trivial. % 1.11/1.32 apply (zenon_L1126_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L777_); trivial. % 1.11/1.32 apply (zenon_L1143_); trivial. % 1.11/1.32 apply (zenon_L1127_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1063_); trivial. % 1.11/1.32 apply (zenon_L1144_); trivial. % 1.11/1.32 apply (zenon_L1131_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1059_); trivial. % 1.11/1.32 apply (zenon_L1143_); trivial. % 1.11/1.32 apply (zenon_L1132_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha. zenon_intro zenon_H2b5. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H212. zenon_intro zenon_H2b6. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H210. zenon_intro zenon_H211. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L702_); trivial. % 1.11/1.32 apply (zenon_L1144_); trivial. % 1.11/1.32 apply (zenon_L1133_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.32 apply (zenon_L700_); trivial. % 1.11/1.32 apply (zenon_L698_); trivial. % 1.11/1.32 apply (zenon_L1143_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L683_); trivial. % 1.11/1.32 apply (zenon_L733_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_Ha. zenon_intro zenon_H339. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H264. zenon_intro zenon_H33a. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H265. zenon_intro zenon_H263. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H5 | zenon_intro zenon_H2a7 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1062_); trivial. % 1.11/1.32 apply (zenon_L1134_); trivial. % 1.11/1.32 apply (zenon_L1137_); trivial. % 1.11/1.32 apply (zenon_L1138_); trivial. % 1.11/1.32 apply (zenon_L1139_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_Ha. zenon_intro zenon_H2a8. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H252. zenon_intro zenon_H2a9. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H253. zenon_intro zenon_H254. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H11f | zenon_intro zenon_H2b3 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H85 | zenon_intro zenon_H26c ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.32 apply (zenon_L711_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Ha. zenon_intro zenon_H18b. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H133. zenon_intro zenon_H18c. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H129. zenon_intro zenon_H12a. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H2b | zenon_intro zenon_H14e ]. % 1.11/1.32 apply (zenon_L984_); trivial. % 1.11/1.32 apply (zenon_L634_); trivial. % 1.11/1.32 apply (zenon_L1134_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_Ha. zenon_intro zenon_H250. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H19f. zenon_intro zenon_H251. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H1aa. zenon_intro zenon_H19e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_L1141_); trivial. % 1.11/1.32 apply (zenon_L1097_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H204. zenon_intro zenon_H26f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H205. zenon_intro zenon_H203. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2f | zenon_intro zenon_H24f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H9a | zenon_intro zenon_H199 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H17 | zenon_intro zenon_H18a ]. % 1.11/1.32 apply (zenon_L711_); trivial. % 1.11/1.32 apply (zenon_L698_); trivial. % 1.11/1.32 apply (zenon_L774_); trivial. % 1.11/1.32 apply (zenon_L1142_); trivial. % 1.11/1.32 apply (zenon_L1139_); trivial. % 1.11/1.32 Qed. % 1.11/1.32 % SZS output end Proof % 1.11/1.32 (* END-PROOF *) % 1.11/1.32 nodes searched: 33198 % 1.11/1.32 max branch formulas: 472 % 1.11/1.32 proof nodes created: 6316 % 1.11/1.32 formulas created: 36364 % 1.11/1.32 %------------------------------------------------------------------------------