%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN510+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n016.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 13:53:48 EDT 2022 % Result : Theorem 0.77s 0.94s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SYN510+1 : TPTP v8.1.0. Released v2.1.0. % 0.04/0.14 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n016.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Tue Jul 12 01:06:28 EDT 2022 % 0.13/0.35 % CPUTime : % 0.77/0.94 (* PROOF-FOUND *) % 0.77/0.94 % SZS status Theorem % 0.77/0.94 (* BEGIN-PROOF *) % 0.77/0.94 % SZS output start Proof % 0.77/0.94 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a536))/\((c2_1 (a536))/\(~(c3_1 (a536)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a537))/\((~(c1_1 (a537)))/\(~(c3_1 (a537)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c1_1 (a538)))/\((~(c2_1 (a538)))/\(~(c3_1 (a538)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a539))/\((~(c2_1 (a539)))/\(~(c3_1 (a539)))))))/\(((~(hskp4))\/((ndr1_0)/\((c3_1 (a540))/\((~(c1_1 (a540)))/\(~(c2_1 (a540)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a544))/\((c1_1 (a544))/\(~(c3_1 (a544)))))))/\(((~(hskp6))\/((ndr1_0)/\((c3_1 (a546))/\((~(c0_1 (a546)))/\(~(c1_1 (a546)))))))/\(((~(hskp7))\/((ndr1_0)/\((c2_1 (a547))/\((~(c0_1 (a547)))/\(~(c3_1 (a547)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a548))/\((c2_1 (a548))/\(~(c0_1 (a548)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a549)))/\((~(c1_1 (a549)))/\(~(c2_1 (a549)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a551))/\((c3_1 (a551))/\(~(c0_1 (a551)))))))/\(((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))))/\(((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))))/\(((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))))/\(((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp6)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp7)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((hskp8)\/(hskp9)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((hskp8)\/(hskp10)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((~(c1_1 X39))\/(~(c2_1 X39))))))\/((hskp10)\/(hskp9)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp13)\/(hskp14)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp15)\/(hskp2)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp23)))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))))/\(((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))/\(((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp3)\/(hskp6)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp30)\/(hskp7)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp26)\/(hskp24)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp25)\/(hskp9)))/\(((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4)))/\(((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14)))/\(((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14)))/\(((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26)))/\(((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp26)\/(hskp4)))/\(((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14)))/\(((forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp20)\/(hskp14)))/\(((hskp28)\/((hskp15)\/(hskp23)))/\(((hskp31)\/((hskp12)\/(hskp14)))/\(((hskp31)\/((hskp10)\/(hskp16)))/\(((hskp31)\/((hskp20)\/(hskp22)))/\(((hskp5)\/((hskp27)\/(hskp25)))/\(((hskp5)\/((hskp10)\/(hskp14)))/\(((hskp12)\/((hskp7)\/(hskp4)))/\(((hskp13)\/((hskp24)\/(hskp6)))/\(((hskp13)\/((hskp14)\/(hskp6)))/\(((hskp13)\/((hskp25)\/(hskp22)))/\(((hskp3)\/((hskp24)\/(hskp18)))/\(((hskp26)\/((hskp7)\/(hskp22)))/\(((hskp26)\/((hskp6)\/(hskp2)))/\(((hskp24)\/((hskp9)\/(hskp2)))/\((hskp21)\/((hskp22)\/(hskp23))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.77/0.94 Proof. % 0.77/0.94 assert (zenon_L1_ : (~(hskp21)) -> (hskp21) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1 zenon_H2. % 0.77/0.94 exact (zenon_H1 zenon_H2). % 0.77/0.94 (* end of lemma zenon_L1_ *) % 0.77/0.94 assert (zenon_L2_ : (~(hskp22)) -> (hskp22) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3 zenon_H4. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 (* end of lemma zenon_L2_ *) % 0.77/0.94 assert (zenon_L3_ : (~(hskp23)) -> (hskp23) -> False). % 0.77/0.94 do 0 intro. intros zenon_H5 zenon_H6. % 0.77/0.94 exact (zenon_H5 zenon_H6). % 0.77/0.94 (* end of lemma zenon_L3_ *) % 0.77/0.94 assert (zenon_L4_ : ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> (~(hskp22)) -> (~(hskp23)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.77/0.94 exact (zenon_H1 zenon_H2). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 exact (zenon_H5 zenon_H6). % 0.77/0.94 (* end of lemma zenon_L4_ *) % 0.77/0.94 assert (zenon_L5_ : (~(hskp26)) -> (hskp26) -> False). % 0.77/0.94 do 0 intro. intros zenon_H9 zenon_Ha. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 (* end of lemma zenon_L5_ *) % 0.77/0.94 assert (zenon_L6_ : (~(hskp7)) -> (hskp7) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb zenon_Hc. % 0.77/0.94 exact (zenon_Hb zenon_Hc). % 0.77/0.94 (* end of lemma zenon_L6_ *) % 0.77/0.94 assert (zenon_L7_ : ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp26)) -> (~(hskp7)) -> (~(hskp22)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hd zenon_H9 zenon_Hb zenon_H3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Ha | zenon_intro zenon_He ]. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 apply (zenon_or_s _ _ zenon_He); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 0.77/0.94 exact (zenon_Hb zenon_Hc). % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 (* end of lemma zenon_L7_ *) % 0.77/0.94 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hf zenon_H10. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 (* end of lemma zenon_L8_ *) % 0.77/0.94 assert (zenon_L9_ : (forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58)))))) -> (ndr1_0) -> (~(c3_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H11 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 0.77/0.94 generalize (zenon_H11 (a604)). zenon_intro zenon_H15. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_Hf | zenon_intro zenon_H16 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.77/0.94 exact (zenon_H12 zenon_H18). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.77/0.94 exact (zenon_H1a zenon_H13). % 0.77/0.94 exact (zenon_H19 zenon_H14). % 0.77/0.94 (* end of lemma zenon_L9_ *) % 0.77/0.94 assert (zenon_L10_ : (~(hskp5)) -> (hskp5) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1b zenon_H1c. % 0.77/0.94 exact (zenon_H1b zenon_H1c). % 0.77/0.94 (* end of lemma zenon_L10_ *) % 0.77/0.94 assert (zenon_L11_ : (~(hskp4)) -> (hskp4) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1d zenon_H1e. % 0.77/0.94 exact (zenon_H1d zenon_H1e). % 0.77/0.94 (* end of lemma zenon_L11_ *) % 0.77/0.94 assert (zenon_L12_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1f zenon_H20 zenon_H1b zenon_H1d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H11 | zenon_intro zenon_H23 ]. % 0.77/0.94 apply (zenon_L9_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H1c | zenon_intro zenon_H1e ]. % 0.77/0.94 exact (zenon_H1b zenon_H1c). % 0.77/0.94 exact (zenon_H1d zenon_H1e). % 0.77/0.94 (* end of lemma zenon_L12_ *) % 0.77/0.94 assert (zenon_L13_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp7)) -> (~(hskp22)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H24 zenon_H20 zenon_H1d zenon_H1b zenon_Hb zenon_H3 zenon_Hd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.77/0.94 apply (zenon_L7_); trivial. % 0.77/0.94 apply (zenon_L12_); trivial. % 0.77/0.94 (* end of lemma zenon_L13_ *) % 0.77/0.94 assert (zenon_L14_ : (~(hskp13)) -> (hskp13) -> False). % 0.77/0.94 do 0 intro. intros zenon_H25 zenon_H26. % 0.77/0.94 exact (zenon_H25 zenon_H26). % 0.77/0.94 (* end of lemma zenon_L14_ *) % 0.77/0.94 assert (zenon_L15_ : (~(hskp24)) -> (hskp24) -> False). % 0.77/0.94 do 0 intro. intros zenon_H27 zenon_H28. % 0.77/0.94 exact (zenon_H27 zenon_H28). % 0.77/0.94 (* end of lemma zenon_L15_ *) % 0.77/0.94 assert (zenon_L16_ : (~(hskp6)) -> (hskp6) -> False). % 0.77/0.94 do 0 intro. intros zenon_H29 zenon_H2a. % 0.77/0.94 exact (zenon_H29 zenon_H2a). % 0.77/0.94 (* end of lemma zenon_L16_ *) % 0.77/0.94 assert (zenon_L17_ : ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp13)) -> (~(hskp24)) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H2b zenon_H25 zenon_H27 zenon_H29. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H26 | zenon_intro zenon_H2c ]. % 0.77/0.94 exact (zenon_H25 zenon_H26). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.77/0.94 exact (zenon_H27 zenon_H28). % 0.77/0.94 exact (zenon_H29 zenon_H2a). % 0.77/0.94 (* end of lemma zenon_L17_ *) % 0.77/0.94 assert (zenon_L18_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c1_1 (a584))) -> (~(c2_1 (a584))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H2d zenon_H10 zenon_H2e zenon_H2f zenon_H30. % 0.77/0.94 generalize (zenon_H2d (a584)). zenon_intro zenon_H31. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_Hf | zenon_intro zenon_H32 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.77/0.94 exact (zenon_H2e zenon_H34). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 0.77/0.94 exact (zenon_H2f zenon_H36). % 0.77/0.94 exact (zenon_H30 zenon_H35). % 0.77/0.94 (* end of lemma zenon_L18_ *) % 0.77/0.94 assert (zenon_L19_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H37 zenon_H10 zenon_H2e zenon_H2d zenon_H30 zenon_H38. % 0.77/0.94 generalize (zenon_H37 (a584)). zenon_intro zenon_H39. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_Hf | zenon_intro zenon_H3a ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H34 | zenon_intro zenon_H3b ]. % 0.77/0.94 exact (zenon_H2e zenon_H34). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3c ]. % 0.77/0.94 apply (zenon_L18_); trivial. % 0.77/0.94 exact (zenon_H3c zenon_H38). % 0.77/0.94 (* end of lemma zenon_L19_ *) % 0.77/0.94 assert (zenon_L20_ : (~(hskp0)) -> (hskp0) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3d zenon_H3e. % 0.77/0.94 exact (zenon_H3d zenon_H3e). % 0.77/0.94 (* end of lemma zenon_L20_ *) % 0.77/0.94 assert (zenon_L21_ : (~(hskp30)) -> (hskp30) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3f zenon_H40. % 0.77/0.94 exact (zenon_H3f zenon_H40). % 0.77/0.94 (* end of lemma zenon_L21_ *) % 0.77/0.94 assert (zenon_L22_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp30)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H41 zenon_H38 zenon_H30 zenon_H2d zenon_H2e zenon_H10 zenon_H3d zenon_H3f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H37 | zenon_intro zenon_H42 ]. % 0.77/0.94 apply (zenon_L19_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ]. % 0.77/0.94 exact (zenon_H3d zenon_H3e). % 0.77/0.94 exact (zenon_H3f zenon_H40). % 0.77/0.94 (* end of lemma zenon_L22_ *) % 0.77/0.94 assert (zenon_L23_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a584)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H37 zenon_H10 zenon_H2e zenon_H43 zenon_H38. % 0.77/0.94 generalize (zenon_H37 (a584)). zenon_intro zenon_H39. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_Hf | zenon_intro zenon_H3a ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H34 | zenon_intro zenon_H3b ]. % 0.77/0.94 exact (zenon_H2e zenon_H34). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3c ]. % 0.77/0.94 generalize (zenon_H43 (a584)). zenon_intro zenon_H44. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_Hf | zenon_intro zenon_H45 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ]. % 0.77/0.94 exact (zenon_H2e zenon_H34). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H36 | zenon_intro zenon_H3c ]. % 0.77/0.94 exact (zenon_H2f zenon_H36). % 0.77/0.94 exact (zenon_H3c zenon_H38). % 0.77/0.94 exact (zenon_H3c zenon_H38). % 0.77/0.94 (* end of lemma zenon_L23_ *) % 0.77/0.94 assert (zenon_L24_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a584))) -> (~(hskp30)) -> (ndr1_0) -> (~(c0_1 (a584))) -> (c3_1 (a584)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H47 zenon_H30 zenon_H3f zenon_H10 zenon_H2e zenon_H38 zenon_H41 zenon_H3d. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.77/0.94 apply (zenon_L22_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H37 | zenon_intro zenon_H42 ]. % 0.77/0.94 apply (zenon_L23_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ]. % 0.77/0.94 exact (zenon_H3d zenon_H3e). % 0.77/0.94 exact (zenon_H3f zenon_H40). % 0.77/0.94 exact (zenon_H3d zenon_H3e). % 0.77/0.94 (* end of lemma zenon_L24_ *) % 0.77/0.94 assert (zenon_L25_ : (~(hskp31)) -> (hskp31) -> False). % 0.77/0.94 do 0 intro. intros zenon_H49 zenon_H4a. % 0.77/0.94 exact (zenon_H49 zenon_H4a). % 0.77/0.94 (* end of lemma zenon_L25_ *) % 0.77/0.94 assert (zenon_L26_ : (~(hskp12)) -> (hskp12) -> False). % 0.77/0.94 do 0 intro. intros zenon_H4b zenon_H4c. % 0.77/0.94 exact (zenon_H4b zenon_H4c). % 0.77/0.94 (* end of lemma zenon_L26_ *) % 0.77/0.94 assert (zenon_L27_ : (~(hskp14)) -> (hskp14) -> False). % 0.77/0.94 do 0 intro. intros zenon_H4d zenon_H4e. % 0.77/0.94 exact (zenon_H4d zenon_H4e). % 0.77/0.94 (* end of lemma zenon_L27_ *) % 0.77/0.94 assert (zenon_L28_ : ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp31)) -> (~(hskp12)) -> (~(hskp14)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H4f zenon_H49 zenon_H4b zenon_H4d. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H4a | zenon_intro zenon_H50 ]. % 0.77/0.94 exact (zenon_H49 zenon_H4a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H4c | zenon_intro zenon_H4e ]. % 0.77/0.94 exact (zenon_H4b zenon_H4c). % 0.77/0.94 exact (zenon_H4d zenon_H4e). % 0.77/0.94 (* end of lemma zenon_L28_ *) % 0.77/0.94 assert (zenon_L29_ : (forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72)))))) -> (ndr1_0) -> (~(c2_1 (a584))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a584))) -> (c3_1 (a584)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H51 zenon_H10 zenon_H30 zenon_H2d zenon_H2e zenon_H38. % 0.77/0.94 generalize (zenon_H51 (a584)). zenon_intro zenon_H52. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_Hf | zenon_intro zenon_H53 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H35 | zenon_intro zenon_H3b ]. % 0.77/0.94 exact (zenon_H30 zenon_H35). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H2f | zenon_intro zenon_H3c ]. % 0.77/0.94 apply (zenon_L18_); trivial. % 0.77/0.94 exact (zenon_H3c zenon_H38). % 0.77/0.94 (* end of lemma zenon_L29_ *) % 0.77/0.94 assert (zenon_L30_ : (~(hskp3)) -> (hskp3) -> False). % 0.77/0.94 do 0 intro. intros zenon_H54 zenon_H55. % 0.77/0.94 exact (zenon_H54 zenon_H55). % 0.77/0.94 (* end of lemma zenon_L30_ *) % 0.77/0.94 assert (zenon_L31_ : ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a584)) -> (~(c0_1 (a584))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a584))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H56 zenon_H38 zenon_H2e zenon_H2d zenon_H30 zenon_H10 zenon_H54 zenon_H29. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H51 | zenon_intro zenon_H57 ]. % 0.77/0.94 apply (zenon_L29_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H2a ]. % 0.77/0.94 exact (zenon_H54 zenon_H55). % 0.77/0.94 exact (zenon_H29 zenon_H2a). % 0.77/0.94 (* end of lemma zenon_L31_ *) % 0.77/0.94 assert (zenon_L32_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (~(c2_1 (a590))) -> (c1_1 (a590)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H58 zenon_H10 zenon_H59 zenon_H5a zenon_H5b. % 0.77/0.94 generalize (zenon_H58 (a590)). zenon_intro zenon_H5c. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_Hf | zenon_intro zenon_H5d ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.77/0.94 exact (zenon_H59 zenon_H5f). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 0.77/0.94 exact (zenon_H5a zenon_H61). % 0.77/0.94 exact (zenon_H60 zenon_H5b). % 0.77/0.94 (* end of lemma zenon_L32_ *) % 0.77/0.94 assert (zenon_L33_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a562))) -> (c2_1 (a562)) -> (c3_1 (a562)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H62 zenon_H10 zenon_H63 zenon_H64 zenon_H65. % 0.77/0.94 generalize (zenon_H62 (a562)). zenon_intro zenon_H66. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_Hf | zenon_intro zenon_H67 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ]. % 0.77/0.94 exact (zenon_H63 zenon_H69). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.77/0.94 exact (zenon_H6b zenon_H64). % 0.77/0.94 exact (zenon_H6a zenon_H65). % 0.77/0.94 (* end of lemma zenon_L33_ *) % 0.77/0.94 assert (zenon_L34_ : (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c2_1 (a562)) -> (c3_1 (a562)) -> (c1_1 (a562)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H6c zenon_H10 zenon_H62 zenon_H64 zenon_H65 zenon_H6d. % 0.77/0.94 generalize (zenon_H6c (a562)). zenon_intro zenon_H6e. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_Hf | zenon_intro zenon_H6f ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H63 | zenon_intro zenon_H70 ]. % 0.77/0.94 apply (zenon_L33_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H71 | zenon_intro zenon_H6b ]. % 0.77/0.94 exact (zenon_H71 zenon_H6d). % 0.77/0.94 exact (zenon_H6b zenon_H64). % 0.77/0.94 (* end of lemma zenon_L34_ *) % 0.77/0.94 assert (zenon_L35_ : (forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (c1_1 (a563)) -> (c3_1 (a563)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H51 zenon_H10 zenon_H72 zenon_H73 zenon_H74. % 0.77/0.94 generalize (zenon_H51 (a563)). zenon_intro zenon_H75. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_Hf | zenon_intro zenon_H76 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 0.77/0.94 generalize (zenon_H72 (a563)). zenon_intro zenon_H79. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_Hf | zenon_intro zenon_H7a ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 0.77/0.94 exact (zenon_H7c zenon_H73). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ]. % 0.77/0.94 exact (zenon_H7e zenon_H78). % 0.77/0.94 exact (zenon_H7d zenon_H74). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 0.77/0.94 exact (zenon_H7c zenon_H73). % 0.77/0.94 exact (zenon_H7d zenon_H74). % 0.77/0.94 (* end of lemma zenon_L35_ *) % 0.77/0.94 assert (zenon_L36_ : ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a563)) -> (c1_1 (a563)) -> (forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H56 zenon_H74 zenon_H73 zenon_H72 zenon_H10 zenon_H54 zenon_H29. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H51 | zenon_intro zenon_H57 ]. % 0.77/0.94 apply (zenon_L35_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H2a ]. % 0.77/0.94 exact (zenon_H54 zenon_H55). % 0.77/0.94 exact (zenon_H29 zenon_H2a). % 0.77/0.94 (* end of lemma zenon_L36_ *) % 0.77/0.94 assert (zenon_L37_ : (~(hskp2)) -> (hskp2) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7f zenon_H80. % 0.77/0.94 exact (zenon_H7f zenon_H80). % 0.77/0.94 (* end of lemma zenon_L37_ *) % 0.77/0.94 assert (zenon_L38_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (c3_1 (a584)) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c2_1 (a562)) -> (c3_1 (a562)) -> (c1_1 (a562)) -> (~(c0_1 (a590))) -> (~(c2_1 (a590))) -> (c1_1 (a590)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp2)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H81 zenon_H82 zenon_H30 zenon_H2e zenon_H38 zenon_H29 zenon_H54 zenon_H56 zenon_H64 zenon_H65 zenon_H6d zenon_H59 zenon_H5a zenon_H5b zenon_H83 zenon_H7f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H2d | zenon_intro zenon_H87 ]. % 0.77/0.94 apply (zenon_L31_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6c | zenon_intro zenon_H80 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.77/0.94 apply (zenon_L34_); trivial. % 0.77/0.94 apply (zenon_L36_); trivial. % 0.77/0.94 exact (zenon_H7f zenon_H80). % 0.77/0.94 (* end of lemma zenon_L38_ *) % 0.77/0.94 assert (zenon_L39_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H89 zenon_H8a zenon_H8b zenon_H8c zenon_H82 zenon_H7f zenon_H83 zenon_H54 zenon_H56 zenon_H4b zenon_H4d zenon_H4f zenon_H41 zenon_H3d zenon_H47 zenon_H25 zenon_H29 zenon_H2b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.94 apply (zenon_L17_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L24_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.77/0.94 apply (zenon_L28_); trivial. % 0.77/0.94 apply (zenon_L38_); trivial. % 0.77/0.94 (* end of lemma zenon_L39_ *) % 0.77/0.94 assert (zenon_L40_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H95 zenon_H8a zenon_H8b zenon_H8c zenon_H82 zenon_H7f zenon_H83 zenon_H54 zenon_H56 zenon_H4b zenon_H4d zenon_H4f zenon_H41 zenon_H3d zenon_H47 zenon_H25 zenon_H29 zenon_H2b zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 (* end of lemma zenon_L40_ *) % 0.77/0.94 assert (zenon_L41_ : (~(hskp20)) -> (hskp20) -> False). % 0.77/0.94 do 0 intro. intros zenon_H96 zenon_H97. % 0.77/0.94 exact (zenon_H96 zenon_H97). % 0.77/0.94 (* end of lemma zenon_L41_ *) % 0.77/0.94 assert (zenon_L42_ : ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp31)) -> (~(hskp20)) -> (~(hskp22)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H98 zenon_H49 zenon_H96 zenon_H3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4a | zenon_intro zenon_H99 ]. % 0.77/0.94 exact (zenon_H49 zenon_H4a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H97 | zenon_intro zenon_H4 ]. % 0.77/0.94 exact (zenon_H96 zenon_H97). % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 (* end of lemma zenon_L42_ *) % 0.77/0.94 assert (zenon_L43_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H62 zenon_H10 zenon_H9a zenon_H9b zenon_H9c. % 0.77/0.94 generalize (zenon_H62 (a566)). zenon_intro zenon_H9d. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_Hf | zenon_intro zenon_H9e ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.77/0.94 exact (zenon_H9a zenon_Ha0). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.77/0.94 exact (zenon_Ha2 zenon_H9b). % 0.77/0.94 exact (zenon_Ha1 zenon_H9c). % 0.77/0.94 (* end of lemma zenon_L43_ *) % 0.77/0.94 assert (zenon_L44_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H81 zenon_H83 zenon_H5b zenon_H5a zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H56 zenon_H54 zenon_H29. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.77/0.94 apply (zenon_L43_); trivial. % 0.77/0.94 apply (zenon_L36_); trivial. % 0.77/0.94 (* end of lemma zenon_L44_ *) % 0.77/0.94 assert (zenon_L45_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp20)) -> (~(hskp22)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H9c zenon_H9b zenon_H9a zenon_H96 zenon_H3 zenon_H98 zenon_H25 zenon_H29 zenon_H2b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.94 apply (zenon_L17_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.77/0.94 apply (zenon_L42_); trivial. % 0.77/0.94 apply (zenon_L44_); trivial. % 0.77/0.94 (* end of lemma zenon_L45_ *) % 0.77/0.94 assert (zenon_L46_ : (~(hskp18)) -> (hskp18) -> False). % 0.77/0.94 do 0 intro. intros zenon_Ha3 zenon_Ha4. % 0.77/0.94 exact (zenon_Ha3 zenon_Ha4). % 0.77/0.94 (* end of lemma zenon_L46_ *) % 0.77/0.94 assert (zenon_L47_ : ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> (~(hskp24)) -> (~(hskp18)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Ha5 zenon_H54 zenon_H27 zenon_Ha3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha6 ]. % 0.77/0.94 exact (zenon_H54 zenon_H55). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H28 | zenon_intro zenon_Ha4 ]. % 0.77/0.94 exact (zenon_H27 zenon_H28). % 0.77/0.94 exact (zenon_Ha3 zenon_Ha4). % 0.77/0.94 (* end of lemma zenon_L47_ *) % 0.77/0.94 assert (zenon_L48_ : (forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c1_1 (a562)) -> (c2_1 (a562)) -> (c3_1 (a562)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H72 zenon_H10 zenon_H6d zenon_H64 zenon_H65. % 0.77/0.94 generalize (zenon_H72 (a562)). zenon_intro zenon_Ha7. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha8 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H71 | zenon_intro zenon_H68 ]. % 0.77/0.94 exact (zenon_H71 zenon_H6d). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.77/0.94 exact (zenon_H6b zenon_H64). % 0.77/0.94 exact (zenon_H6a zenon_H65). % 0.77/0.94 (* end of lemma zenon_L48_ *) % 0.77/0.94 assert (zenon_L49_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H92 zenon_H83 zenon_H5b zenon_H5a zenon_H59 zenon_H9c zenon_H9b zenon_H9a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.77/0.94 apply (zenon_L43_); trivial. % 0.77/0.94 apply (zenon_L48_); trivial. % 0.77/0.94 (* end of lemma zenon_L49_ *) % 0.77/0.94 assert (zenon_L50_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H89 zenon_H8a zenon_H8b zenon_H83 zenon_H9c zenon_H9b zenon_H9a zenon_H41 zenon_H3d zenon_H47 zenon_H54 zenon_Ha3 zenon_Ha5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.94 apply (zenon_L47_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L24_); trivial. % 0.77/0.94 apply (zenon_L49_); trivial. % 0.77/0.94 (* end of lemma zenon_L50_ *) % 0.77/0.94 assert (zenon_L51_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H95 zenon_H8b zenon_H41 zenon_H3d zenon_H47 zenon_Ha3 zenon_Ha5 zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H96 zenon_H9a zenon_H9b zenon_H9c zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.94 apply (zenon_L45_); trivial. % 0.77/0.94 apply (zenon_L50_); trivial. % 0.77/0.94 (* end of lemma zenon_L51_ *) % 0.77/0.94 assert (zenon_L52_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Ha9 zenon_H10 zenon_Haa zenon_Hab zenon_Hac. % 0.77/0.94 generalize (zenon_Ha9 (a580)). zenon_intro zenon_Had. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Had); [ zenon_intro zenon_Hf | zenon_intro zenon_Hae ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Haf ]. % 0.77/0.94 exact (zenon_Haa zenon_Hb0). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ]. % 0.77/0.94 exact (zenon_Hab zenon_Hb2). % 0.77/0.94 exact (zenon_Hb1 zenon_Hac). % 0.77/0.94 (* end of lemma zenon_L52_ *) % 0.77/0.94 assert (zenon_L53_ : (~(hskp11)) -> (hskp11) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb3 zenon_Hb4. % 0.77/0.94 exact (zenon_Hb3 zenon_Hb4). % 0.77/0.94 (* end of lemma zenon_L53_ *) % 0.77/0.94 assert (zenon_L54_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (c1_1 (a562)) -> (c3_1 (a562)) -> (c2_1 (a562)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_H6d zenon_H65 zenon_H64 zenon_H62 zenon_H10 zenon_Hb3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hb6 ]. % 0.77/0.94 apply (zenon_L52_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb4 ]. % 0.77/0.94 apply (zenon_L34_); trivial. % 0.77/0.94 exact (zenon_Hb3 zenon_Hb4). % 0.77/0.94 (* end of lemma zenon_L54_ *) % 0.77/0.94 assert (zenon_L55_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (~(hskp11)) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H92 zenon_H83 zenon_H5b zenon_H5a zenon_H59 zenon_Hb3 zenon_Haa zenon_Hab zenon_Hac zenon_Hb5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.77/0.94 apply (zenon_L54_); trivial. % 0.77/0.94 apply (zenon_L48_); trivial. % 0.77/0.94 (* end of lemma zenon_L55_ *) % 0.77/0.94 assert (zenon_L56_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H89 zenon_H8a zenon_H8b zenon_H83 zenon_Haa zenon_Hab zenon_Hac zenon_Hb3 zenon_Hb5 zenon_H41 zenon_H3d zenon_H47 zenon_H54 zenon_Ha3 zenon_Ha5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.94 apply (zenon_L47_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L24_); trivial. % 0.77/0.94 apply (zenon_L55_); trivial. % 0.77/0.94 (* end of lemma zenon_L56_ *) % 0.77/0.94 assert (zenon_L57_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H95 zenon_H8a zenon_H8b zenon_H83 zenon_Haa zenon_Hab zenon_Hac zenon_Hb3 zenon_Hb5 zenon_H41 zenon_H3d zenon_H47 zenon_H54 zenon_Ha3 zenon_Ha5 zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 apply (zenon_L56_); trivial. % 0.77/0.94 (* end of lemma zenon_L57_ *) % 0.77/0.94 assert (zenon_L58_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a573))) -> (~(c1_1 (a573))) -> (~(c3_1 (a573))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb7 zenon_H10 zenon_Hb8 zenon_Hb9 zenon_Hba. % 0.77/0.94 generalize (zenon_Hb7 (a573)). zenon_intro zenon_Hbb. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hbb); [ zenon_intro zenon_Hf | zenon_intro zenon_Hbc ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ]. % 0.77/0.94 exact (zenon_Hb8 zenon_Hbe). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.77/0.94 exact (zenon_Hb9 zenon_Hc0). % 0.77/0.94 exact (zenon_Hba zenon_Hbf). % 0.77/0.94 (* end of lemma zenon_L58_ *) % 0.77/0.94 assert (zenon_L59_ : (~(hskp28)) -> (hskp28) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hc1 zenon_Hc2. % 0.77/0.94 exact (zenon_Hc1 zenon_Hc2). % 0.77/0.94 (* end of lemma zenon_L59_ *) % 0.77/0.94 assert (zenon_L60_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(c3_1 (a573))) -> (~(c1_1 (a573))) -> (~(c0_1 (a573))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hc3 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H10 zenon_Hc1 zenon_H7f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.77/0.94 apply (zenon_L58_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.77/0.94 exact (zenon_Hc1 zenon_Hc2). % 0.77/0.94 exact (zenon_H7f zenon_H80). % 0.77/0.94 (* end of lemma zenon_L60_ *) % 0.77/0.94 assert (zenon_L61_ : (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (c0_1 (a541)) -> (c1_1 (a541)) -> (c2_1 (a541)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H6c zenon_H10 zenon_Hc5 zenon_Hc6 zenon_Hc7. % 0.77/0.94 generalize (zenon_H6c (a541)). zenon_intro zenon_Hc8. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hc8); [ zenon_intro zenon_Hf | zenon_intro zenon_Hc9 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ]. % 0.77/0.94 exact (zenon_Hcb zenon_Hc5). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 0.77/0.94 exact (zenon_Hcd zenon_Hc6). % 0.77/0.94 exact (zenon_Hcc zenon_Hc7). % 0.77/0.94 (* end of lemma zenon_L61_ *) % 0.77/0.94 assert (zenon_L62_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp6)) -> (~(hskp3)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (c3_1 (a584)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp2)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hce zenon_H82 zenon_H29 zenon_H54 zenon_H30 zenon_H2e zenon_H38 zenon_H56 zenon_H7f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H10. zenon_intro zenon_Hcf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hc5. zenon_intro zenon_Hd0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H2d | zenon_intro zenon_H87 ]. % 0.77/0.94 apply (zenon_L31_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6c | zenon_intro zenon_H80 ]. % 0.77/0.94 apply (zenon_L61_); trivial. % 0.77/0.94 exact (zenon_H7f zenon_H80). % 0.77/0.94 (* end of lemma zenon_L62_ *) % 0.77/0.94 assert (zenon_L63_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(c0_1 (a573))) -> (~(c1_1 (a573))) -> (~(c3_1 (a573))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H89 zenon_Hd1 zenon_H82 zenon_H54 zenon_H29 zenon_H56 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H7f zenon_Hc3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.77/0.94 apply (zenon_L60_); trivial. % 0.77/0.94 apply (zenon_L62_); trivial. % 0.77/0.94 (* end of lemma zenon_L63_ *) % 0.77/0.94 assert (zenon_L64_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(c0_1 (a573))) -> (~(c1_1 (a573))) -> (~(c3_1 (a573))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H95 zenon_Hd1 zenon_H82 zenon_H54 zenon_H29 zenon_H56 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H7f zenon_Hc3 zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 apply (zenon_L63_); trivial. % 0.77/0.94 (* end of lemma zenon_L64_ *) % 0.77/0.94 assert (zenon_L65_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hd2 zenon_H95 zenon_Hd1 zenon_H82 zenon_H54 zenon_H29 zenon_H56 zenon_H7f zenon_Hc3 zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.77/0.94 apply (zenon_L64_); trivial. % 0.77/0.94 (* end of lemma zenon_L65_ *) % 0.77/0.94 assert (zenon_L66_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hd5 zenon_Hd6 zenon_Hd1 zenon_H82 zenon_H7f zenon_Hc3 zenon_H95 zenon_H8b zenon_H41 zenon_H3d zenon_H47 zenon_Ha5 zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a zenon_H24 zenon_H20 zenon_H1d zenon_H1b zenon_Hb zenon_Hd zenon_Hb5 zenon_Hb3 zenon_Hd7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.94 apply (zenon_L51_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.77/0.94 apply (zenon_L57_); trivial. % 0.77/0.94 apply (zenon_L65_); trivial. % 0.77/0.94 (* end of lemma zenon_L66_ *) % 0.77/0.94 assert (zenon_L67_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hdd zenon_Hd6 zenon_Hd1 zenon_Hc3 zenon_Ha5 zenon_H98 zenon_Hb5 zenon_Hb3 zenon_Hd7 zenon_H24 zenon_H20 zenon_H1d zenon_H1b zenon_Hb zenon_Hd zenon_H2b zenon_H29 zenon_H25 zenon_H47 zenon_H3d zenon_H41 zenon_H4f zenon_H4b zenon_H56 zenon_H54 zenon_H83 zenon_H7f zenon_H82 zenon_H8c zenon_H8b zenon_H8a zenon_H95. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.77/0.94 apply (zenon_L40_); trivial. % 0.77/0.94 apply (zenon_L66_); trivial. % 0.77/0.94 (* end of lemma zenon_L67_ *) % 0.77/0.94 assert (zenon_L68_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hde zenon_H10 zenon_H2e zenon_H30 zenon_H38. % 0.77/0.94 generalize (zenon_Hde (a584)). zenon_intro zenon_Hdf. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_Hf | zenon_intro zenon_He0 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ]. % 0.77/0.94 exact (zenon_H2e zenon_H34). % 0.77/0.94 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H35 | zenon_intro zenon_H3c ]. % 0.77/0.94 exact (zenon_H30 zenon_H35). % 0.77/0.94 exact (zenon_H3c zenon_H38). % 0.77/0.94 (* end of lemma zenon_L68_ *) % 0.77/0.94 assert (zenon_L69_ : (~(hskp29)) -> (hskp29) -> False). % 0.77/0.94 do 0 intro. intros zenon_He2 zenon_He3. % 0.77/0.94 exact (zenon_He2 zenon_He3). % 0.77/0.94 (* end of lemma zenon_L69_ *) % 0.77/0.94 assert (zenon_L70_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp11)) -> False). % 0.77/0.94 do 0 intro. intros zenon_He4 zenon_H38 zenon_H30 zenon_H2e zenon_H10 zenon_He2 zenon_Hb3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hde | zenon_intro zenon_He5 ]. % 0.77/0.94 apply (zenon_L68_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He3 | zenon_intro zenon_Hb4 ]. % 0.77/0.94 exact (zenon_He2 zenon_He3). % 0.77/0.94 exact (zenon_Hb3 zenon_Hb4). % 0.77/0.94 (* end of lemma zenon_L70_ *) % 0.77/0.94 assert (zenon_L71_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c0_1 (a552)) -> (c2_1 (a552)) -> (c3_1 (a552)) -> False). % 0.77/0.94 do 0 intro. intros zenon_He6 zenon_H10 zenon_He7 zenon_He8 zenon_He9. % 0.77/0.94 generalize (zenon_He6 (a552)). zenon_intro zenon_Hea. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hea); [ zenon_intro zenon_Hf | zenon_intro zenon_Heb ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ]. % 0.77/0.94 exact (zenon_Hed zenon_He7). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ]. % 0.77/0.94 exact (zenon_Hef zenon_He8). % 0.77/0.94 exact (zenon_Hee zenon_He9). % 0.77/0.94 (* end of lemma zenon_L71_ *) % 0.77/0.94 assert (zenon_L72_ : (~(hskp10)) -> (hskp10) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hf0 zenon_Hf1. % 0.77/0.94 exact (zenon_Hf0 zenon_Hf1). % 0.77/0.94 (* end of lemma zenon_L72_ *) % 0.77/0.94 assert (zenon_L73_ : ((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp14)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hf2 zenon_Hf3 zenon_Hf0 zenon_H4d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf6 ]. % 0.77/0.94 apply (zenon_L71_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H4e ]. % 0.77/0.94 exact (zenon_Hf0 zenon_Hf1). % 0.77/0.94 exact (zenon_H4d zenon_H4e). % 0.77/0.94 (* end of lemma zenon_L73_ *) % 0.77/0.94 assert (zenon_L74_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H10 zenon_H2e zenon_H30 zenon_H38 zenon_Hb3 zenon_He4. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.77/0.94 apply (zenon_L70_); trivial. % 0.77/0.94 apply (zenon_L73_); trivial. % 0.77/0.94 (* end of lemma zenon_L74_ *) % 0.77/0.94 assert (zenon_L75_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H62 zenon_H10 zenon_Hf8 zenon_Hf9 zenon_Hfa. % 0.77/0.94 generalize (zenon_H62 (a582)). zenon_intro zenon_Hfb. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_Hf | zenon_intro zenon_Hfc ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ]. % 0.77/0.94 exact (zenon_Hf8 zenon_Hfe). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.77/0.94 exact (zenon_H100 zenon_Hf9). % 0.77/0.94 exact (zenon_Hff zenon_Hfa). % 0.77/0.94 (* end of lemma zenon_L75_ *) % 0.77/0.94 assert (zenon_L76_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.77/0.94 do 0 intro. intros zenon_He6 zenon_H10 zenon_H62 zenon_Hf9 zenon_Hfa. % 0.77/0.94 generalize (zenon_He6 (a582)). zenon_intro zenon_H101. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H101); [ zenon_intro zenon_Hf | zenon_intro zenon_H102 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hfd ]. % 0.77/0.94 apply (zenon_L75_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.77/0.94 exact (zenon_H100 zenon_Hf9). % 0.77/0.94 exact (zenon_Hff zenon_Hfa). % 0.77/0.94 (* end of lemma zenon_L76_ *) % 0.77/0.94 assert (zenon_L77_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp14)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hf3 zenon_Hfa zenon_Hf9 zenon_H62 zenon_H10 zenon_Hf0 zenon_H4d. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf6 ]. % 0.77/0.94 apply (zenon_L76_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H4e ]. % 0.77/0.94 exact (zenon_Hf0 zenon_Hf1). % 0.77/0.94 exact (zenon_H4d zenon_H4e). % 0.77/0.94 (* end of lemma zenon_L77_ *) % 0.77/0.94 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (~(hskp14)) -> (~(hskp10)) -> (c2_1 (a582)) -> (c3_1 (a582)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H81 zenon_H83 zenon_H5b zenon_H5a zenon_H59 zenon_H4d zenon_Hf0 zenon_Hf9 zenon_Hfa zenon_Hf3 zenon_H56 zenon_H54 zenon_H29. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.77/0.94 apply (zenon_L77_); trivial. % 0.77/0.94 apply (zenon_L36_); trivial. % 0.77/0.94 (* end of lemma zenon_L78_ *) % 0.77/0.94 assert (zenon_L79_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp20)) -> (~(hskp22)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H8f zenon_H8c zenon_H83 zenon_H54 zenon_H29 zenon_H56 zenon_Hf9 zenon_Hfa zenon_Hf0 zenon_H4d zenon_Hf3 zenon_H96 zenon_H3 zenon_H98. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.77/0.94 apply (zenon_L42_); trivial. % 0.77/0.94 apply (zenon_L78_); trivial. % 0.77/0.94 (* end of lemma zenon_L79_ *) % 0.77/0.94 assert (zenon_L80_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H89 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_Hb3 zenon_He4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.77/0.94 apply (zenon_L74_); trivial. % 0.77/0.94 (* end of lemma zenon_L80_ *) % 0.77/0.94 assert (zenon_L81_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (c3_1 (a582)) -> (c2_1 (a582)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H95 zenon_Hf7 zenon_Hb3 zenon_He4 zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H96 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_Hfa zenon_Hf9 zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.94 apply (zenon_L17_); trivial. % 0.77/0.94 apply (zenon_L79_); trivial. % 0.77/0.94 apply (zenon_L80_); trivial. % 0.77/0.94 (* end of lemma zenon_L81_ *) % 0.77/0.94 assert (zenon_L82_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H103 zenon_H10 zenon_H104 zenon_H105 zenon_H106. % 0.77/0.94 generalize (zenon_H103 (a565)). zenon_intro zenon_H107. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_Hf | zenon_intro zenon_H108 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.77/0.94 exact (zenon_H104 zenon_H10a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 0.77/0.94 exact (zenon_H10c zenon_H105). % 0.77/0.94 exact (zenon_H10b zenon_H106). % 0.77/0.94 (* end of lemma zenon_L82_ *) % 0.77/0.94 assert (zenon_L83_ : (~(hskp15)) -> (hskp15) -> False). % 0.77/0.94 do 0 intro. intros zenon_H10d zenon_H10e. % 0.77/0.94 exact (zenon_H10d zenon_H10e). % 0.77/0.94 (* end of lemma zenon_L83_ *) % 0.77/0.94 assert (zenon_L84_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H10f zenon_H106 zenon_H105 zenon_H104 zenon_H10 zenon_H10d zenon_H3d. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H103 | zenon_intro zenon_H110 ]. % 0.77/0.94 apply (zenon_L82_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10e | zenon_intro zenon_H3e ]. % 0.77/0.94 exact (zenon_H10d zenon_H10e). % 0.77/0.94 exact (zenon_H3d zenon_H3e). % 0.77/0.94 (* end of lemma zenon_L84_ *) % 0.77/0.94 assert (zenon_L85_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15))))) -> (ndr1_0) -> (~(c0_1 (a587))) -> (~(c2_1 (a587))) -> (~(c3_1 (a587))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H111 zenon_H10 zenon_H112 zenon_H113 zenon_H114. % 0.77/0.94 generalize (zenon_H111 (a587)). zenon_intro zenon_H115. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_Hf | zenon_intro zenon_H116 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 0.77/0.94 exact (zenon_H112 zenon_H118). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 0.77/0.94 exact (zenon_H113 zenon_H11a). % 0.77/0.94 exact (zenon_H114 zenon_H119). % 0.77/0.94 (* end of lemma zenon_L85_ *) % 0.77/0.94 assert (zenon_L86_ : (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H11b zenon_H10 zenon_H11c zenon_H11d zenon_H11e. % 0.77/0.94 generalize (zenon_H11b (a567)). zenon_intro zenon_H11f. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H11f); [ zenon_intro zenon_Hf | zenon_intro zenon_H120 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.77/0.94 exact (zenon_H11c zenon_H122). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ]. % 0.77/0.94 exact (zenon_H124 zenon_H11d). % 0.77/0.94 exact (zenon_H123 zenon_H11e). % 0.77/0.94 (* end of lemma zenon_L86_ *) % 0.77/0.94 assert (zenon_L87_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H125 zenon_H10 zenon_H126 zenon_H105 zenon_H106 zenon_H104. % 0.77/0.94 generalize (zenon_H125 (a565)). zenon_intro zenon_H127. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_Hf | zenon_intro zenon_H128 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ]. % 0.77/0.94 generalize (zenon_H126 (a565)). zenon_intro zenon_H12b. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H12b); [ zenon_intro zenon_Hf | zenon_intro zenon_H12c ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H10c | zenon_intro zenon_H12d ]. % 0.77/0.94 exact (zenon_H10c zenon_H105). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12e | zenon_intro zenon_H10b ]. % 0.77/0.94 exact (zenon_H12e zenon_H12a). % 0.77/0.94 exact (zenon_H10b zenon_H106). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H10a | zenon_intro zenon_H10c ]. % 0.77/0.94 exact (zenon_H104 zenon_H10a). % 0.77/0.94 exact (zenon_H10c zenon_H105). % 0.77/0.94 (* end of lemma zenon_L87_ *) % 0.77/0.94 assert (zenon_L88_ : (~(hskp17)) -> (hskp17) -> False). % 0.77/0.94 do 0 intro. intros zenon_H12f zenon_H130. % 0.77/0.94 exact (zenon_H12f zenon_H130). % 0.77/0.94 (* end of lemma zenon_L88_ *) % 0.77/0.94 assert (zenon_L89_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H131 zenon_H104 zenon_H106 zenon_H105 zenon_H126 zenon_H11e zenon_H11d zenon_H11c zenon_H10 zenon_H12f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.77/0.94 apply (zenon_L87_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11b | zenon_intro zenon_H130 ]. % 0.77/0.94 apply (zenon_L86_); trivial. % 0.77/0.94 exact (zenon_H12f zenon_H130). % 0.77/0.94 (* end of lemma zenon_L89_ *) % 0.77/0.94 assert (zenon_L90_ : ((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp17)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H133 zenon_H134 zenon_H131 zenon_H104 zenon_H106 zenon_H105 zenon_H11e zenon_H11d zenon_H11c zenon_H12f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H10. zenon_intro zenon_H135. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H112. zenon_intro zenon_H136. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H111 | zenon_intro zenon_H137 ]. % 0.77/0.94 apply (zenon_L85_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11b | zenon_intro zenon_H126 ]. % 0.77/0.94 apply (zenon_L86_); trivial. % 0.77/0.94 apply (zenon_L89_); trivial. % 0.77/0.94 (* end of lemma zenon_L90_ *) % 0.77/0.94 assert (zenon_L91_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp22)\/(hskp23))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H138 zenon_H134 zenon_H105 zenon_H106 zenon_H104 zenon_H12f zenon_H131 zenon_H11e zenon_H11d zenon_H11c zenon_H1 zenon_H3 zenon_H7. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H5 | zenon_intro zenon_H133 ]. % 0.77/0.94 apply (zenon_L4_); trivial. % 0.77/0.94 apply (zenon_L90_); trivial. % 0.77/0.94 (* end of lemma zenon_L91_ *) % 0.77/0.94 assert (zenon_L92_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a584))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H139 zenon_H38 zenon_H30 zenon_H2d zenon_H2e zenon_H11e zenon_H11d zenon_H11c zenon_H10 zenon_H29. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H37 | zenon_intro zenon_H13a ]. % 0.77/0.94 apply (zenon_L19_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11b | zenon_intro zenon_H2a ]. % 0.77/0.94 apply (zenon_L86_); trivial. % 0.77/0.94 exact (zenon_H29 zenon_H2a). % 0.77/0.94 (* end of lemma zenon_L92_ *) % 0.77/0.94 assert (zenon_L93_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp6)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> (~(hskp0)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H89 zenon_H47 zenon_H29 zenon_H11c zenon_H11d zenon_H11e zenon_H139 zenon_H3d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.77/0.94 apply (zenon_L92_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H37 | zenon_intro zenon_H13a ]. % 0.77/0.94 apply (zenon_L23_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11b | zenon_intro zenon_H2a ]. % 0.77/0.94 apply (zenon_L86_); trivial. % 0.77/0.94 exact (zenon_H29 zenon_H2a). % 0.77/0.94 exact (zenon_H3d zenon_H3e). % 0.77/0.94 (* end of lemma zenon_L93_ *) % 0.77/0.94 assert (zenon_L94_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H95 zenon_H47 zenon_H3d zenon_H29 zenon_H139 zenon_H7 zenon_H1 zenon_H11c zenon_H11d zenon_H11e zenon_H131 zenon_H12f zenon_H104 zenon_H106 zenon_H105 zenon_H134 zenon_H138. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.94 apply (zenon_L91_); trivial. % 0.77/0.94 apply (zenon_L93_); trivial. % 0.77/0.94 (* end of lemma zenon_L94_ *) % 0.77/0.94 assert (zenon_L95_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a582))) -> (~(c1_1 (a582))) -> (c3_1 (a582)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H43 zenon_H10 zenon_Hf8 zenon_H13b zenon_Hfa. % 0.77/0.94 generalize (zenon_H43 (a582)). zenon_intro zenon_H13c. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_Hf | zenon_intro zenon_H13d ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hfe | zenon_intro zenon_H13e ]. % 0.77/0.94 exact (zenon_Hf8 zenon_Hfe). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H13f | zenon_intro zenon_Hff ]. % 0.77/0.94 exact (zenon_H13b zenon_H13f). % 0.77/0.94 exact (zenon_Hff zenon_Hfa). % 0.77/0.94 (* end of lemma zenon_L95_ *) % 0.77/0.94 assert (zenon_L96_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a582))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H140 zenon_H10 zenon_H13b zenon_H43 zenon_Hfa zenon_Hf9. % 0.77/0.94 generalize (zenon_H140 (a582)). zenon_intro zenon_H141. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H141); [ zenon_intro zenon_Hf | zenon_intro zenon_H142 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H13f | zenon_intro zenon_H143 ]. % 0.77/0.94 exact (zenon_H13b zenon_H13f). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H100 ]. % 0.77/0.94 apply (zenon_L95_); trivial. % 0.77/0.94 exact (zenon_H100 zenon_Hf9). % 0.77/0.94 (* end of lemma zenon_L96_ *) % 0.77/0.94 assert (zenon_L97_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (ndr1_0) -> (forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72)))))) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H125 zenon_H10 zenon_H51 zenon_H104 zenon_H106 zenon_H105. % 0.77/0.94 generalize (zenon_H125 (a565)). zenon_intro zenon_H127. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_Hf | zenon_intro zenon_H128 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ]. % 0.77/0.94 generalize (zenon_H51 (a565)). zenon_intro zenon_H144. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H144); [ zenon_intro zenon_Hf | zenon_intro zenon_H145 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H10a | zenon_intro zenon_H12d ]. % 0.77/0.94 exact (zenon_H104 zenon_H10a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12e | zenon_intro zenon_H10b ]. % 0.77/0.94 exact (zenon_H12e zenon_H12a). % 0.77/0.94 exact (zenon_H10b zenon_H106). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H10a | zenon_intro zenon_H10c ]. % 0.77/0.94 exact (zenon_H104 zenon_H10a). % 0.77/0.94 exact (zenon_H10c zenon_H105). % 0.77/0.94 (* end of lemma zenon_L97_ *) % 0.77/0.94 assert (zenon_L98_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a582))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (~(hskp3)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H146 zenon_Hf9 zenon_Hfa zenon_H43 zenon_H13b zenon_H105 zenon_H106 zenon_H104 zenon_H10 zenon_H125 zenon_H54. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.77/0.94 apply (zenon_L96_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.77/0.94 apply (zenon_L97_); trivial. % 0.77/0.94 exact (zenon_H54 zenon_H55). % 0.77/0.94 (* end of lemma zenon_L98_ *) % 0.77/0.94 assert (zenon_L99_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c1_1 (a582))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp12)) -> (~(hskp11)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H148 zenon_H54 zenon_H10 zenon_H104 zenon_H106 zenon_H105 zenon_H13b zenon_H43 zenon_Hfa zenon_Hf9 zenon_H146 zenon_H4b zenon_Hb3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H125 | zenon_intro zenon_H149 ]. % 0.77/0.94 apply (zenon_L98_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H4c | zenon_intro zenon_Hb4 ]. % 0.77/0.94 exact (zenon_H4b zenon_H4c). % 0.77/0.94 exact (zenon_Hb3 zenon_Hb4). % 0.77/0.94 (* end of lemma zenon_L99_ *) % 0.77/0.94 assert (zenon_L100_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp3)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> (~(hskp5)) -> (~(hskp2)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H14a zenon_H14b zenon_Hb3 zenon_H4b zenon_H146 zenon_H105 zenon_H106 zenon_H104 zenon_H54 zenon_H148 zenon_H1b zenon_H7f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H43 | zenon_intro zenon_H14e ]. % 0.77/0.94 apply (zenon_L99_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H80 ]. % 0.77/0.94 exact (zenon_H1b zenon_H1c). % 0.77/0.94 exact (zenon_H7f zenon_H80). % 0.77/0.94 (* end of lemma zenon_L100_ *) % 0.77/0.94 assert (zenon_L101_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> (~(hskp2)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H14f zenon_H14b zenon_H7f zenon_H1b zenon_H146 zenon_H54 zenon_H4b zenon_Hb3 zenon_H148 zenon_H138 zenon_H134 zenon_H105 zenon_H106 zenon_H104 zenon_H12f zenon_H131 zenon_H11e zenon_H11d zenon_H11c zenon_H7 zenon_H139 zenon_H29 zenon_H3d zenon_H47 zenon_H95. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.94 apply (zenon_L94_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 (* end of lemma zenon_L101_ *) % 0.77/0.94 assert (zenon_L102_ : (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (c0_1 (a563)) -> (c1_1 (a563)) -> (c3_1 (a563)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H126 zenon_H10 zenon_H86 zenon_H73 zenon_H74. % 0.77/0.94 generalize (zenon_H126 (a563)). zenon_intro zenon_H150. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_Hf | zenon_intro zenon_H151 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H152 | zenon_intro zenon_H77 ]. % 0.77/0.94 exact (zenon_H152 zenon_H86). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H7c | zenon_intro zenon_H7d ]. % 0.77/0.94 exact (zenon_H7c zenon_H73). % 0.77/0.94 exact (zenon_H7d zenon_H74). % 0.77/0.94 (* end of lemma zenon_L102_ *) % 0.77/0.94 assert (zenon_L103_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (~(c3_1 (a587))) -> (~(c2_1 (a587))) -> (~(c0_1 (a587))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H81 zenon_H134 zenon_H114 zenon_H113 zenon_H112 zenon_H11e zenon_H11d zenon_H11c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H111 | zenon_intro zenon_H137 ]. % 0.77/0.94 apply (zenon_L85_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11b | zenon_intro zenon_H126 ]. % 0.77/0.94 apply (zenon_L86_); trivial. % 0.77/0.94 apply (zenon_L102_); trivial. % 0.77/0.94 (* end of lemma zenon_L103_ *) % 0.77/0.94 assert (zenon_L104_ : ((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp20)) -> (~(hskp22)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H133 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H96 zenon_H3 zenon_H98. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H10. zenon_intro zenon_H135. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H112. zenon_intro zenon_H136. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.77/0.94 apply (zenon_L42_); trivial. % 0.77/0.94 apply (zenon_L103_); trivial. % 0.77/0.94 (* end of lemma zenon_L104_ *) % 0.77/0.94 assert (zenon_L105_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp20)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp22)\/(hskp23))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H138 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H96 zenon_H98 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H5 | zenon_intro zenon_H133 ]. % 0.77/0.94 apply (zenon_L4_); trivial. % 0.77/0.94 apply (zenon_L104_); trivial. % 0.77/0.94 (* end of lemma zenon_L105_ *) % 0.77/0.94 assert (zenon_L106_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H95 zenon_H47 zenon_H3d zenon_H29 zenon_H139 zenon_H7 zenon_H1 zenon_H98 zenon_H96 zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.94 apply (zenon_L105_); trivial. % 0.77/0.94 apply (zenon_L93_); trivial. % 0.77/0.94 (* end of lemma zenon_L106_ *) % 0.77/0.94 assert (zenon_L107_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H125 zenon_H10 zenon_H153 zenon_H154 zenon_H155. % 0.77/0.94 generalize (zenon_H125 (a571)). zenon_intro zenon_H156. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H156); [ zenon_intro zenon_Hf | zenon_intro zenon_H157 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H159 | zenon_intro zenon_H158 ]. % 0.77/0.94 exact (zenon_H153 zenon_H159). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ]. % 0.77/0.94 exact (zenon_H154 zenon_H15b). % 0.77/0.94 exact (zenon_H15a zenon_H155). % 0.77/0.94 (* end of lemma zenon_L107_ *) % 0.77/0.94 assert (zenon_L108_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (~(hskp18)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1f zenon_H15c zenon_H155 zenon_H154 zenon_H153 zenon_Ha3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H125 | zenon_intro zenon_H15d ]. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha4 ]. % 0.77/0.94 apply (zenon_L9_); trivial. % 0.77/0.94 exact (zenon_Ha3 zenon_Ha4). % 0.77/0.94 (* end of lemma zenon_L108_ *) % 0.77/0.94 assert (zenon_L109_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (~(hskp7)) -> (~(hskp22)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H24 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_Hb zenon_H3 zenon_Hd. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.77/0.95 apply (zenon_L7_); trivial. % 0.77/0.95 apply (zenon_L108_); trivial. % 0.77/0.95 (* end of lemma zenon_L109_ *) % 0.77/0.95 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hda zenon_H95 zenon_H8a zenon_H8b zenon_H83 zenon_Hb3 zenon_Hb5 zenon_H41 zenon_H3d zenon_H47 zenon_H54 zenon_Ha5 zenon_Hd zenon_Hb zenon_H153 zenon_H154 zenon_H155 zenon_Ha3 zenon_H15c zenon_H24. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L109_); trivial. % 0.77/0.95 apply (zenon_L56_); trivial. % 0.77/0.95 (* end of lemma zenon_L110_ *) % 0.77/0.95 assert (zenon_L111_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp4)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd2 zenon_H15e zenon_H106 zenon_H105 zenon_H104 zenon_H1d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H15f ]. % 0.77/0.95 apply (zenon_L58_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H103 | zenon_intro zenon_H1e ]. % 0.77/0.95 apply (zenon_L82_); trivial. % 0.77/0.95 exact (zenon_H1d zenon_H1e). % 0.77/0.95 (* end of lemma zenon_L111_ *) % 0.77/0.95 assert (zenon_L112_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp5)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H160 zenon_H161 zenon_Hd6 zenon_H15e zenon_H1d zenon_H8c zenon_H98 zenon_H24 zenon_H15c zenon_Hb zenon_Hd zenon_Ha5 zenon_H41 zenon_Hb5 zenon_H83 zenon_H8b zenon_H8a zenon_Hd7 zenon_H95 zenon_H47 zenon_H29 zenon_H139 zenon_H7 zenon_H131 zenon_H134 zenon_H138 zenon_H148 zenon_Hb3 zenon_H4b zenon_H54 zenon_H146 zenon_H1b zenon_H7f zenon_H14b zenon_H14f zenon_H10 zenon_H104 zenon_H105 zenon_H106 zenon_H3d zenon_H10f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L84_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.77/0.95 apply (zenon_L101_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.95 apply (zenon_L106_); trivial. % 0.77/0.95 apply (zenon_L100_); trivial. % 0.77/0.95 apply (zenon_L110_); trivial. % 0.77/0.95 apply (zenon_L111_); trivial. % 0.77/0.95 (* end of lemma zenon_L112_ *) % 0.77/0.95 assert (zenon_L113_ : (forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (~(c3_1 (a604))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (c2_1 (a604)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H168 zenon_H10 zenon_H12 zenon_H169 zenon_H14. % 0.77/0.95 generalize (zenon_H168 (a604)). zenon_intro zenon_H16a. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H16a); [ zenon_intro zenon_Hf | zenon_intro zenon_H16b ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H18 | zenon_intro zenon_H16c ]. % 0.77/0.95 exact (zenon_H12 zenon_H18). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H16d | zenon_intro zenon_H19 ]. % 0.77/0.95 generalize (zenon_H169 (a604)). zenon_intro zenon_H16e. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H16e); [ zenon_intro zenon_Hf | zenon_intro zenon_H16f ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H171 | zenon_intro zenon_H170 ]. % 0.77/0.95 exact (zenon_H16d zenon_H171). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ]. % 0.77/0.95 exact (zenon_H12 zenon_H18). % 0.77/0.95 exact (zenon_H19 zenon_H14). % 0.77/0.95 exact (zenon_H19 zenon_H14). % 0.77/0.95 (* end of lemma zenon_L113_ *) % 0.77/0.95 assert (zenon_L114_ : ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (c2_1 (a604)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (~(c3_1 (a604))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp21)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H172 zenon_H14 zenon_H169 zenon_H12 zenon_H10 zenon_H4d zenon_H1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H168 | zenon_intro zenon_H173 ]. % 0.77/0.95 apply (zenon_L113_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H4e | zenon_intro zenon_H2 ]. % 0.77/0.95 exact (zenon_H4d zenon_H4e). % 0.77/0.95 exact (zenon_H1 zenon_H2). % 0.77/0.95 (* end of lemma zenon_L114_ *) % 0.77/0.95 assert (zenon_L115_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c0_1 (a564)) -> (c2_1 (a564)) -> (c3_1 (a564)) -> False). % 0.77/0.95 do 0 intro. intros zenon_He6 zenon_H10 zenon_H174 zenon_H175 zenon_H176. % 0.77/0.95 generalize (zenon_He6 (a564)). zenon_intro zenon_H177. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H177); [ zenon_intro zenon_Hf | zenon_intro zenon_H178 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H17a | zenon_intro zenon_H179 ]. % 0.77/0.95 exact (zenon_H17a zenon_H174). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 0.77/0.95 exact (zenon_H17c zenon_H175). % 0.77/0.95 exact (zenon_H17b zenon_H176). % 0.77/0.95 (* end of lemma zenon_L115_ *) % 0.77/0.95 assert (zenon_L116_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H103 zenon_H10 zenon_He6 zenon_H174 zenon_H176. % 0.77/0.95 generalize (zenon_H103 (a564)). zenon_intro zenon_H17d. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_Hf | zenon_intro zenon_H17e ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H175 | zenon_intro zenon_H17f ]. % 0.77/0.95 apply (zenon_L115_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ]. % 0.77/0.95 exact (zenon_H17a zenon_H174). % 0.77/0.95 exact (zenon_H17b zenon_H176). % 0.77/0.95 (* end of lemma zenon_L116_ *) % 0.77/0.95 assert (zenon_L117_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H10f zenon_H176 zenon_H174 zenon_He6 zenon_H10 zenon_H10d zenon_H3d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H103 | zenon_intro zenon_H110 ]. % 0.77/0.95 apply (zenon_L116_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10e | zenon_intro zenon_H3e ]. % 0.77/0.95 exact (zenon_H10d zenon_H10e). % 0.77/0.95 exact (zenon_H3d zenon_H3e). % 0.77/0.95 (* end of lemma zenon_L117_ *) % 0.77/0.95 assert (zenon_L118_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp14)) -> (~(hskp21)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp7)) -> (~(hskp22)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H24 zenon_H180 zenon_H174 zenon_H176 zenon_H10d zenon_H3d zenon_H10f zenon_H4d zenon_H1 zenon_H172 zenon_Hb zenon_H3 zenon_Hd. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.77/0.95 apply (zenon_L7_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.77/0.95 apply (zenon_L114_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.77/0.95 apply (zenon_L117_); trivial. % 0.77/0.95 exact (zenon_H3d zenon_H3e). % 0.77/0.95 (* end of lemma zenon_L118_ *) % 0.77/0.95 assert (zenon_L119_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H182 zenon_H10 zenon_H183 zenon_H174 zenon_H176. % 0.77/0.95 generalize (zenon_H182 (a564)). zenon_intro zenon_H184. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H184); [ zenon_intro zenon_Hf | zenon_intro zenon_H185 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H186 | zenon_intro zenon_H17f ]. % 0.77/0.95 exact (zenon_H183 zenon_H186). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ]. % 0.77/0.95 exact (zenon_H17a zenon_H174). % 0.77/0.95 exact (zenon_H17b zenon_H176). % 0.77/0.95 (* end of lemma zenon_L119_ *) % 0.77/0.95 assert (zenon_L120_ : (~(hskp1)) -> (hskp1) -> False). % 0.77/0.95 do 0 intro. intros zenon_H187 zenon_H188. % 0.77/0.95 exact (zenon_H187 zenon_H188). % 0.77/0.95 (* end of lemma zenon_L120_ *) % 0.77/0.95 assert (zenon_L121_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp1)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H89 zenon_H189 zenon_H29 zenon_H54 zenon_H56 zenon_H176 zenon_H174 zenon_H183 zenon_H187. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H2d | zenon_intro zenon_H18a ]. % 0.77/0.95 apply (zenon_L31_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H182 | zenon_intro zenon_H188 ]. % 0.77/0.95 apply (zenon_L119_); trivial. % 0.77/0.95 exact (zenon_H187 zenon_H188). % 0.77/0.95 (* end of lemma zenon_L121_ *) % 0.77/0.95 assert (zenon_L122_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a564))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp21)) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H95 zenon_H189 zenon_H187 zenon_H183 zenon_H54 zenon_H29 zenon_H56 zenon_Hd zenon_Hb zenon_H172 zenon_H1 zenon_H4d zenon_H10f zenon_H3d zenon_H10d zenon_H176 zenon_H174 zenon_H180 zenon_H24. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L118_); trivial. % 0.77/0.95 apply (zenon_L121_); trivial. % 0.77/0.95 (* end of lemma zenon_L122_ *) % 0.77/0.95 assert (zenon_L123_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp20)) -> (~(hskp22)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8a zenon_H8c zenon_H83 zenon_H29 zenon_H56 zenon_Hf9 zenon_Hfa zenon_Hf0 zenon_H4d zenon_Hf3 zenon_H96 zenon_H3 zenon_H98 zenon_H54 zenon_Ha3 zenon_Ha5. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.95 apply (zenon_L47_); trivial. % 0.77/0.95 apply (zenon_L79_); trivial. % 0.77/0.95 (* end of lemma zenon_L123_ *) % 0.77/0.95 assert (zenon_L124_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (~(hskp3)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14a zenon_H95 zenon_Hf7 zenon_Hb3 zenon_He4 zenon_Ha5 zenon_Ha3 zenon_H54 zenon_H98 zenon_H96 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H56 zenon_H29 zenon_H83 zenon_H8c zenon_H8a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L123_); trivial. % 0.77/0.95 apply (zenon_L80_); trivial. % 0.77/0.95 (* end of lemma zenon_L124_ *) % 0.77/0.95 assert (zenon_L125_ : (~(hskp9)) -> (hskp9) -> False). % 0.77/0.95 do 0 intro. intros zenon_H18b zenon_H18c. % 0.77/0.95 exact (zenon_H18b zenon_H18c). % 0.77/0.95 (* end of lemma zenon_L125_ *) % 0.77/0.95 assert (zenon_L126_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp11)) -> (~(hskp9)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hda zenon_H18d zenon_Hb3 zenon_H18b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H18e ]. % 0.77/0.95 apply (zenon_L52_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hb4 | zenon_intro zenon_H18c ]. % 0.77/0.95 exact (zenon_Hb3 zenon_Hb4). % 0.77/0.95 exact (zenon_H18b zenon_H18c). % 0.77/0.95 (* end of lemma zenon_L126_ *) % 0.77/0.95 assert (zenon_L127_ : ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (~(hskp10)) -> (~(hskp14)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hf3 zenon_H176 zenon_H174 zenon_H10 zenon_H103 zenon_Hf0 zenon_H4d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf6 ]. % 0.77/0.95 apply (zenon_L116_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H4e ]. % 0.77/0.95 exact (zenon_Hf0 zenon_Hf1). % 0.77/0.95 exact (zenon_H4d zenon_H4e). % 0.77/0.95 (* end of lemma zenon_L127_ *) % 0.77/0.95 assert (zenon_L128_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp14)) -> (~(hskp10)) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp4)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd2 zenon_H15e zenon_H4d zenon_Hf0 zenon_H174 zenon_H176 zenon_Hf3 zenon_H1d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H15f ]. % 0.77/0.95 apply (zenon_L58_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H103 | zenon_intro zenon_H1e ]. % 0.77/0.95 apply (zenon_L127_); trivial. % 0.77/0.95 exact (zenon_H1d zenon_H1e). % 0.77/0.95 (* end of lemma zenon_L128_ *) % 0.77/0.95 assert (zenon_L129_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H95 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H7 zenon_H1 zenon_H98 zenon_H96 zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L105_); trivial. % 0.77/0.95 apply (zenon_L80_); trivial. % 0.77/0.95 (* end of lemma zenon_L129_ *) % 0.77/0.95 assert (zenon_L130_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp20)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14f zenon_Ha5 zenon_Ha3 zenon_H54 zenon_H56 zenon_H29 zenon_H83 zenon_H8a zenon_H138 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H96 zenon_H98 zenon_H7 zenon_He4 zenon_Hb3 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7 zenon_H95. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_L124_); trivial. % 0.77/0.95 (* end of lemma zenon_L130_ *) % 0.77/0.95 assert (zenon_L131_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd7 zenon_H18d zenon_H18b zenon_H95 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H7 zenon_H98 zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138 zenon_H8a zenon_H83 zenon_H29 zenon_H56 zenon_H54 zenon_Ha3 zenon_Ha5 zenon_H14f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.95 apply (zenon_L130_); trivial. % 0.77/0.95 apply (zenon_L126_); trivial. % 0.77/0.95 (* end of lemma zenon_L131_ *) % 0.77/0.95 assert (zenon_L132_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H162 zenon_Hd6 zenon_H15e zenon_H1d zenon_H174 zenon_H176 zenon_H14f zenon_Ha5 zenon_H54 zenon_H56 zenon_H29 zenon_H83 zenon_H8a zenon_H138 zenon_H8c zenon_H134 zenon_H98 zenon_H7 zenon_He4 zenon_Hb3 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7 zenon_H95 zenon_H18b zenon_H18d zenon_Hd7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_L131_); trivial. % 0.77/0.95 apply (zenon_L128_); trivial. % 0.77/0.95 (* end of lemma zenon_L132_ *) % 0.77/0.95 assert (zenon_L133_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H160 zenon_Hd6 zenon_H15e zenon_H1d zenon_H14f zenon_Ha5 zenon_H54 zenon_H56 zenon_H29 zenon_H83 zenon_H8a zenon_H138 zenon_H8c zenon_H134 zenon_H98 zenon_H7 zenon_He4 zenon_Hb3 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7 zenon_H95 zenon_H18b zenon_H18d zenon_Hd7 zenon_H10 zenon_H104 zenon_H105 zenon_H106 zenon_H3d zenon_H10f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L84_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_L131_); trivial. % 0.77/0.95 apply (zenon_L111_); trivial. % 0.77/0.95 (* end of lemma zenon_L133_ *) % 0.77/0.95 assert (zenon_L134_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (ndr1_0) -> (~(c3_1 (a604))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (c2_1 (a604)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H18f zenon_H176 zenon_H174 zenon_H183 zenon_H106 zenon_H105 zenon_H104 zenon_H10 zenon_H12 zenon_H169 zenon_H14. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H182 | zenon_intro zenon_H190 ]. % 0.77/0.95 apply (zenon_L119_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H103 | zenon_intro zenon_H168 ]. % 0.77/0.95 apply (zenon_L82_); trivial. % 0.77/0.95 apply (zenon_L113_); trivial. % 0.77/0.95 (* end of lemma zenon_L134_ *) % 0.77/0.95 assert (zenon_L135_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a564))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H125 zenon_H10 zenon_H183 zenon_He6 zenon_H174 zenon_H176. % 0.77/0.95 generalize (zenon_H125 (a564)). zenon_intro zenon_H191. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H191); [ zenon_intro zenon_Hf | zenon_intro zenon_H192 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H186 | zenon_intro zenon_H193 ]. % 0.77/0.95 exact (zenon_H183 zenon_H186). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H175 | zenon_intro zenon_H17a ]. % 0.77/0.95 apply (zenon_L115_); trivial. % 0.77/0.95 exact (zenon_H17a zenon_H174). % 0.77/0.95 (* end of lemma zenon_L135_ *) % 0.77/0.95 assert (zenon_L136_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a564))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H131 zenon_H176 zenon_H174 zenon_He6 zenon_H183 zenon_H11e zenon_H11d zenon_H11c zenon_H10 zenon_H12f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.77/0.95 apply (zenon_L135_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11b | zenon_intro zenon_H130 ]. % 0.77/0.95 apply (zenon_L86_); trivial. % 0.77/0.95 exact (zenon_H12f zenon_H130). % 0.77/0.95 (* end of lemma zenon_L136_ *) % 0.77/0.95 assert (zenon_L137_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(hskp17)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp0)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1f zenon_H180 zenon_H104 zenon_H105 zenon_H106 zenon_H18f zenon_H12f zenon_H11c zenon_H11d zenon_H11e zenon_H183 zenon_H174 zenon_H176 zenon_H131 zenon_H3d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.77/0.95 apply (zenon_L134_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.77/0.95 apply (zenon_L136_); trivial. % 0.77/0.95 exact (zenon_H3d zenon_H3e). % 0.77/0.95 (* end of lemma zenon_L137_ *) % 0.77/0.95 assert (zenon_L138_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(hskp7)) -> (~(hskp22)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H24 zenon_H180 zenon_H3d zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H183 zenon_H174 zenon_H176 zenon_H104 zenon_H105 zenon_H106 zenon_H18f zenon_Hb zenon_H3 zenon_Hd. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.77/0.95 apply (zenon_L7_); trivial. % 0.77/0.95 apply (zenon_L137_); trivial. % 0.77/0.95 (* end of lemma zenon_L138_ *) % 0.77/0.95 assert (zenon_L139_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp6)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp1)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H89 zenon_H189 zenon_H29 zenon_H11c zenon_H11d zenon_H11e zenon_H139 zenon_H176 zenon_H174 zenon_H183 zenon_H187. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H2d | zenon_intro zenon_H18a ]. % 0.77/0.95 apply (zenon_L92_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H182 | zenon_intro zenon_H188 ]. % 0.77/0.95 apply (zenon_L119_); trivial. % 0.77/0.95 exact (zenon_H187 zenon_H188). % 0.77/0.95 (* end of lemma zenon_L139_ *) % 0.77/0.95 assert (zenon_L140_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a564))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H194 zenon_H161 zenon_H15c zenon_H139 zenon_H8b zenon_H41 zenon_H47 zenon_H18f zenon_H131 zenon_H160 zenon_H138 zenon_H134 zenon_H7 zenon_Hd7 zenon_H18d zenon_H18b zenon_H95 zenon_H189 zenon_H187 zenon_H183 zenon_H54 zenon_H29 zenon_H56 zenon_Hd zenon_Hb zenon_H172 zenon_H10f zenon_H3d zenon_H176 zenon_H174 zenon_H180 zenon_H24 zenon_H8a zenon_H8c zenon_H83 zenon_Hf0 zenon_Hf3 zenon_H98 zenon_Ha5 zenon_He4 zenon_Hb3 zenon_Hf7 zenon_H14f zenon_H1d zenon_H15e zenon_Hd6 zenon_H2b zenon_Hdd. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.95 apply (zenon_L122_); trivial. % 0.77/0.95 apply (zenon_L124_); trivial. % 0.77/0.95 apply (zenon_L126_); trivial. % 0.77/0.95 apply (zenon_L128_); trivial. % 0.77/0.95 apply (zenon_L132_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L45_); trivial. % 0.77/0.95 apply (zenon_L121_); trivial. % 0.77/0.95 apply (zenon_L126_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.77/0.95 apply (zenon_L133_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L84_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L138_); trivial. % 0.77/0.95 apply (zenon_L50_); trivial. % 0.77/0.95 apply (zenon_L111_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L109_); trivial. % 0.77/0.95 apply (zenon_L139_); trivial. % 0.77/0.95 apply (zenon_L111_); trivial. % 0.77/0.95 (* end of lemma zenon_L140_ *) % 0.77/0.95 assert (zenon_L141_ : (forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72)))))) -> (ndr1_0) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H51 zenon_H10 zenon_H198 zenon_H199 zenon_H19a. % 0.77/0.95 generalize (zenon_H51 (a553)). zenon_intro zenon_H19b. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H19b); [ zenon_intro zenon_Hf | zenon_intro zenon_H19c ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H19e | zenon_intro zenon_H19d ]. % 0.77/0.95 exact (zenon_H198 zenon_H19e). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ]. % 0.77/0.95 exact (zenon_H1a0 zenon_H199). % 0.77/0.95 exact (zenon_H19f zenon_H19a). % 0.77/0.95 (* end of lemma zenon_L141_ *) % 0.77/0.95 assert (zenon_L142_ : ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H56 zenon_H19a zenon_H199 zenon_H198 zenon_H10 zenon_H54 zenon_H29. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H51 | zenon_intro zenon_H57 ]. % 0.77/0.95 apply (zenon_L141_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H2a ]. % 0.77/0.95 exact (zenon_H54 zenon_H55). % 0.77/0.95 exact (zenon_H29 zenon_H2a). % 0.77/0.95 (* end of lemma zenon_L142_ *) % 0.77/0.95 assert (zenon_L143_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H37 zenon_H10 zenon_H1a1 zenon_H1a2 zenon_H1a3. % 0.77/0.95 generalize (zenon_H37 (a551)). zenon_intro zenon_H1a4. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1a4); [ zenon_intro zenon_Hf | zenon_intro zenon_H1a5 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a6 ]. % 0.77/0.95 exact (zenon_H1a1 zenon_H1a7). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a8 ]. % 0.77/0.95 exact (zenon_H1a9 zenon_H1a2). % 0.77/0.95 exact (zenon_H1a8 zenon_H1a3). % 0.77/0.95 (* end of lemma zenon_L143_ *) % 0.77/0.95 assert (zenon_L144_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp30)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H41 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H10 zenon_H3d zenon_H3f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H37 | zenon_intro zenon_H42 ]. % 0.77/0.95 apply (zenon_L143_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ]. % 0.77/0.95 exact (zenon_H3d zenon_H3e). % 0.77/0.95 exact (zenon_H3f zenon_H40). % 0.77/0.95 (* end of lemma zenon_L144_ *) % 0.77/0.95 assert (zenon_L145_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8f zenon_H8b zenon_H83 zenon_H9c zenon_H9b zenon_H9a zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.77/0.95 apply (zenon_L144_); trivial. % 0.77/0.95 apply (zenon_L49_); trivial. % 0.77/0.95 (* end of lemma zenon_L145_ *) % 0.77/0.95 assert (zenon_L146_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd5 zenon_H8a zenon_H8b zenon_H83 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H25 zenon_H29 zenon_H2b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.95 apply (zenon_L17_); trivial. % 0.77/0.95 apply (zenon_L145_); trivial. % 0.77/0.95 (* end of lemma zenon_L146_ *) % 0.77/0.95 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp6)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H162 zenon_H139 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H29. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H37 | zenon_intro zenon_H13a ]. % 0.77/0.95 apply (zenon_L143_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H11b | zenon_intro zenon_H2a ]. % 0.77/0.95 apply (zenon_L86_); trivial. % 0.77/0.95 exact (zenon_H29 zenon_H2a). % 0.77/0.95 (* end of lemma zenon_L147_ *) % 0.77/0.95 assert (zenon_L148_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H195 zenon_H160 zenon_H139 zenon_H29 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H3d zenon_H10f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L84_); trivial. % 0.77/0.95 apply (zenon_L147_); trivial. % 0.77/0.95 (* end of lemma zenon_L148_ *) % 0.77/0.95 assert (zenon_L149_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H194 zenon_H160 zenon_H139 zenon_H10f zenon_H95 zenon_H8a zenon_H8b zenon_H8c zenon_H82 zenon_H7f zenon_H83 zenon_H54 zenon_H56 zenon_H4b zenon_H4f zenon_H41 zenon_H3d zenon_H47 zenon_H29 zenon_H2b zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_Hdd. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.77/0.95 apply (zenon_L40_); trivial. % 0.77/0.95 apply (zenon_L146_); trivial. % 0.77/0.95 apply (zenon_L148_); trivial. % 0.77/0.95 (* end of lemma zenon_L149_ *) % 0.77/0.95 assert (zenon_L150_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a582))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H140 zenon_H10 zenon_H13b zenon_H62 zenon_Hf9 zenon_Hfa. % 0.77/0.95 generalize (zenon_H140 (a582)). zenon_intro zenon_H141. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H141); [ zenon_intro zenon_Hf | zenon_intro zenon_H142 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H13f | zenon_intro zenon_H143 ]. % 0.77/0.95 exact (zenon_H13b zenon_H13f). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H100 ]. % 0.77/0.95 apply (zenon_L75_); trivial. % 0.77/0.95 exact (zenon_H100 zenon_Hf9). % 0.77/0.95 (* end of lemma zenon_L150_ *) % 0.77/0.95 assert (zenon_L151_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a551))) -> (c2_1 (a551)) -> (c3_1 (a551)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H62 zenon_H10 zenon_H1a1 zenon_H1aa zenon_H1a3. % 0.77/0.95 generalize (zenon_H62 (a551)). zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_Hf | zenon_intro zenon_H1ac ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ad ]. % 0.77/0.95 exact (zenon_H1a1 zenon_H1a7). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1a8 ]. % 0.77/0.95 exact (zenon_H1ae zenon_H1aa). % 0.77/0.95 exact (zenon_H1a8 zenon_H1a3). % 0.77/0.95 (* end of lemma zenon_L151_ *) % 0.77/0.95 assert (zenon_L152_ : (forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H51 zenon_H10 zenon_H62 zenon_H1a1 zenon_H1a3 zenon_H1a2. % 0.77/0.95 generalize (zenon_H51 (a551)). zenon_intro zenon_H1af. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_Hf | zenon_intro zenon_H1b0 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a6 ]. % 0.77/0.95 apply (zenon_L151_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a8 ]. % 0.77/0.95 exact (zenon_H1a9 zenon_H1a2). % 0.77/0.95 exact (zenon_H1a8 zenon_H1a3). % 0.77/0.95 (* end of lemma zenon_L152_ *) % 0.77/0.95 assert (zenon_L153_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H146 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H62 zenon_H10 zenon_H54. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.77/0.95 apply (zenon_L150_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.77/0.95 apply (zenon_L152_); trivial. % 0.77/0.95 exact (zenon_H54 zenon_H55). % 0.77/0.95 (* end of lemma zenon_L153_ *) % 0.77/0.95 assert (zenon_L154_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H92 zenon_H83 zenon_H5b zenon_H5a zenon_H59 zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H146. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.77/0.95 apply (zenon_L153_); trivial. % 0.77/0.95 apply (zenon_L48_); trivial. % 0.77/0.95 (* end of lemma zenon_L154_ *) % 0.77/0.95 assert (zenon_L155_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8f zenon_H8b zenon_H83 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H54 zenon_H146 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.77/0.95 apply (zenon_L144_); trivial. % 0.77/0.95 apply (zenon_L154_); trivial. % 0.77/0.95 (* end of lemma zenon_L155_ *) % 0.77/0.95 assert (zenon_L156_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14a zenon_H8a zenon_H8b zenon_H83 zenon_H54 zenon_H146 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H25 zenon_H29 zenon_H2b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.95 apply (zenon_L17_); trivial. % 0.77/0.95 apply (zenon_L155_); trivial. % 0.77/0.95 (* end of lemma zenon_L156_ *) % 0.77/0.95 assert (zenon_L157_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H160 zenon_H139 zenon_H95 zenon_H189 zenon_H187 zenon_H54 zenon_H29 zenon_H56 zenon_Hd zenon_Hb zenon_H172 zenon_H10f zenon_H3d zenon_H180 zenon_H24 zenon_H2b zenon_H41 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H146 zenon_H83 zenon_H8b zenon_H8a zenon_H14f zenon_Hdd. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.95 apply (zenon_L122_); trivial. % 0.77/0.95 apply (zenon_L156_); trivial. % 0.77/0.95 apply (zenon_L147_); trivial. % 0.77/0.95 apply (zenon_L146_); trivial. % 0.77/0.95 apply (zenon_L148_); trivial. % 0.77/0.95 (* end of lemma zenon_L157_ *) % 0.77/0.95 assert (zenon_L158_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b4 zenon_H189 zenon_H187 zenon_H172 zenon_H180 zenon_H146 zenon_H14f zenon_Hdd zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H24 zenon_H20 zenon_H1d zenon_H1b zenon_Hb zenon_Hd zenon_H2b zenon_H29 zenon_H47 zenon_H3d zenon_H41 zenon_H4f zenon_H56 zenon_H54 zenon_H83 zenon_H7f zenon_H82 zenon_H8c zenon_H8b zenon_H8a zenon_H95 zenon_H10f zenon_H139 zenon_H160 zenon_H194. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.77/0.95 apply (zenon_L149_); trivial. % 0.77/0.95 apply (zenon_L157_); trivial. % 0.77/0.95 (* end of lemma zenon_L158_ *) % 0.77/0.95 assert (zenon_L159_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H194 zenon_H160 zenon_H161 zenon_H15e zenon_H15c zenon_H139 zenon_H7 zenon_H131 zenon_H134 zenon_H138 zenon_H148 zenon_H146 zenon_H14b zenon_H14f zenon_H10f zenon_H95 zenon_H8a zenon_H8b zenon_H8c zenon_H82 zenon_H7f zenon_H83 zenon_H54 zenon_H56 zenon_H4b zenon_H4f zenon_H41 zenon_H3d zenon_H47 zenon_H29 zenon_H2b zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24 zenon_Hd7 zenon_Hb3 zenon_Hb5 zenon_H98 zenon_Ha5 zenon_Hc3 zenon_Hd1 zenon_Hd6 zenon_Hdd. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.77/0.95 apply (zenon_L67_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.77/0.95 apply (zenon_L112_); trivial. % 0.77/0.95 (* end of lemma zenon_L159_ *) % 0.77/0.95 assert (zenon_L160_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a549))) -> (~(c1_1 (a549))) -> (~(c2_1 (a549))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H2d zenon_H10 zenon_H1b5 zenon_H1b6 zenon_H1b7. % 0.77/0.95 generalize (zenon_H2d (a549)). zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_Hf | zenon_intro zenon_H1b9 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 0.77/0.95 exact (zenon_H1b5 zenon_H1bb). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 0.77/0.95 exact (zenon_H1b6 zenon_H1bd). % 0.77/0.95 exact (zenon_H1b7 zenon_H1bc). % 0.77/0.95 (* end of lemma zenon_L160_ *) % 0.77/0.95 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(c2_1 (a549))) -> (~(c1_1 (a549))) -> (~(c0_1 (a549))) -> (~(hskp1)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b1 zenon_H189 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H187. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H2d | zenon_intro zenon_H18a ]. % 0.77/0.95 apply (zenon_L160_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H182 | zenon_intro zenon_H188 ]. % 0.77/0.95 apply (zenon_L119_); trivial. % 0.77/0.95 exact (zenon_H187 zenon_H188). % 0.77/0.95 (* end of lemma zenon_L161_ *) % 0.77/0.95 assert (zenon_L162_ : ((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1be zenon_H56 zenon_H54 zenon_H29. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.77/0.95 apply (zenon_L142_); trivial. % 0.77/0.95 (* end of lemma zenon_L162_ *) % 0.77/0.95 assert (zenon_L163_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> (~(c0_1 (a549))) -> (~(c1_1 (a549))) -> (~(c2_1 (a549))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1c1 zenon_H194 zenon_H160 zenon_H161 zenon_H15e zenon_H15c zenon_H139 zenon_H7 zenon_H131 zenon_H134 zenon_H138 zenon_H148 zenon_H146 zenon_H14b zenon_H14f zenon_H10f zenon_H95 zenon_H8a zenon_H8b zenon_H8c zenon_H82 zenon_H7f zenon_H83 zenon_H54 zenon_H56 zenon_H4f zenon_H41 zenon_H3d zenon_H47 zenon_H29 zenon_H2b zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24 zenon_Hd7 zenon_Hb5 zenon_H98 zenon_Ha5 zenon_Hc3 zenon_Hd1 zenon_Hd6 zenon_Hdd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H187 zenon_H189 zenon_H1b4. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.77/0.95 apply (zenon_L159_); trivial. % 0.77/0.95 apply (zenon_L161_); trivial. % 0.77/0.95 apply (zenon_L162_); trivial. % 0.77/0.95 (* end of lemma zenon_L163_ *) % 0.77/0.95 assert (zenon_L164_ : (forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58)))))) -> (ndr1_0) -> (~(c3_1 (a547))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (c2_1 (a547)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H11 zenon_H10 zenon_H1c2 zenon_H1c3 zenon_H1c4. % 0.77/0.95 generalize (zenon_H11 (a547)). zenon_intro zenon_H1c5. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1c5); [ zenon_intro zenon_Hf | zenon_intro zenon_H1c6 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1c7 ]. % 0.77/0.95 exact (zenon_H1c2 zenon_H1c8). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1c9 ]. % 0.77/0.95 generalize (zenon_H1c3 (a547)). zenon_intro zenon_H1cb. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_Hf | zenon_intro zenon_H1cc ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ]. % 0.77/0.95 exact (zenon_H1ca zenon_H1ce). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1c9 ]. % 0.77/0.95 exact (zenon_H1c2 zenon_H1c8). % 0.77/0.95 exact (zenon_H1c9 zenon_H1c4). % 0.77/0.95 exact (zenon_H1c9 zenon_H1c4). % 0.77/0.95 (* end of lemma zenon_L164_ *) % 0.77/0.95 assert (zenon_L165_ : ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (c2_1 (a547)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(c3_1 (a547))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H20 zenon_H1c4 zenon_H1c3 zenon_H1c2 zenon_H10 zenon_H1b zenon_H1d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H11 | zenon_intro zenon_H23 ]. % 0.77/0.95 apply (zenon_L164_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H1c | zenon_intro zenon_H1e ]. % 0.77/0.95 exact (zenon_H1b zenon_H1c). % 0.77/0.95 exact (zenon_H1d zenon_H1e). % 0.77/0.95 (* end of lemma zenon_L165_ *) % 0.77/0.95 assert (zenon_L166_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp4)) -> (~(hskp5)) -> (ndr1_0) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1cf zenon_H1d zenon_H1b zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H20 zenon_He2 zenon_H1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 0.77/0.95 apply (zenon_L165_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.77/0.95 exact (zenon_He2 zenon_He3). % 0.77/0.95 exact (zenon_H1 zenon_H2). % 0.77/0.95 (* end of lemma zenon_L166_ *) % 0.77/0.95 assert (zenon_L167_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H169 zenon_H10 zenon_H1d1 zenon_H1c2 zenon_H1c4. % 0.77/0.95 generalize (zenon_H169 (a547)). zenon_intro zenon_H1d2. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d3 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1cd ]. % 0.77/0.95 exact (zenon_H1d1 zenon_H1d4). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1c9 ]. % 0.77/0.95 exact (zenon_H1c2 zenon_H1c8). % 0.77/0.95 exact (zenon_H1c9 zenon_H1c4). % 0.77/0.95 (* end of lemma zenon_L167_ *) % 0.77/0.95 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (~(hskp0)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hf2 zenon_H180 zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H3d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.77/0.95 apply (zenon_L167_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.77/0.95 apply (zenon_L71_); trivial. % 0.77/0.95 exact (zenon_H3d zenon_H3e). % 0.77/0.95 (* end of lemma zenon_L168_ *) % 0.77/0.95 assert (zenon_L169_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a547))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (ndr1_0) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hf7 zenon_H180 zenon_H3d zenon_H1d1 zenon_H20 zenon_H1d zenon_H1b zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H1 zenon_H1cf. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.77/0.95 apply (zenon_L166_); trivial. % 0.77/0.95 apply (zenon_L168_); trivial. % 0.77/0.95 (* end of lemma zenon_L169_ *) % 0.77/0.95 assert (zenon_L170_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14a zenon_H95 zenon_Hf7 zenon_Hb3 zenon_He4 zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H96 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.77/0.95 apply (zenon_L81_); trivial. % 0.77/0.95 (* end of lemma zenon_L170_ *) % 0.77/0.95 assert (zenon_L171_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (ndr1_0) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(c0_1 (a547))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14f zenon_H95 zenon_Hb3 zenon_He4 zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H96 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a zenon_H1cf zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1b zenon_H1d zenon_H20 zenon_H1d1 zenon_H3d zenon_H180 zenon_Hf7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.95 apply (zenon_L169_); trivial. % 0.77/0.95 apply (zenon_L170_); trivial. % 0.77/0.95 (* end of lemma zenon_L171_ *) % 0.77/0.95 assert (zenon_L172_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a582))) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1d5 zenon_H10 zenon_Hf8 zenon_H13b zenon_Hf9. % 0.77/0.95 generalize (zenon_H1d5 (a582)). zenon_intro zenon_H1d6. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1d6); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d7 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hfe | zenon_intro zenon_H1d8 ]. % 0.77/0.95 exact (zenon_Hf8 zenon_Hfe). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H100 ]. % 0.77/0.95 exact (zenon_H13b zenon_H13f). % 0.77/0.95 exact (zenon_H100 zenon_Hf9). % 0.77/0.95 (* end of lemma zenon_L172_ *) % 0.77/0.95 assert (zenon_L173_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_He6 zenon_H10 zenon_H1d5 zenon_H13b zenon_Hf9 zenon_Hfa. % 0.77/0.95 generalize (zenon_He6 (a582)). zenon_intro zenon_H101. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H101); [ zenon_intro zenon_Hf | zenon_intro zenon_H102 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hfd ]. % 0.77/0.95 apply (zenon_L172_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.77/0.95 exact (zenon_H100 zenon_Hf9). % 0.77/0.95 exact (zenon_Hff zenon_Hfa). % 0.77/0.95 (* end of lemma zenon_L173_ *) % 0.77/0.95 assert (zenon_L174_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (c3_1 (a563)) -> (c1_1 (a563)) -> (c0_1 (a563)) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H74 zenon_H73 zenon_H86 zenon_H10 zenon_H1d5 zenon_H13b zenon_Hf9 zenon_Hfa. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H1da ]. % 0.77/0.95 apply (zenon_L52_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H126 | zenon_intro zenon_He6 ]. % 0.77/0.95 apply (zenon_L102_); trivial. % 0.77/0.95 apply (zenon_L173_); trivial. % 0.77/0.95 (* end of lemma zenon_L174_ *) % 0.77/0.95 assert (zenon_L175_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a582))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_He6 zenon_H10 zenon_H43 zenon_H13b zenon_Hfa zenon_Hf9. % 0.77/0.95 generalize (zenon_He6 (a582)). zenon_intro zenon_H101. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H101); [ zenon_intro zenon_Hf | zenon_intro zenon_H102 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hfd ]. % 0.77/0.95 apply (zenon_L95_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.77/0.95 exact (zenon_H100 zenon_Hf9). % 0.77/0.95 exact (zenon_Hff zenon_Hfa). % 0.77/0.95 (* end of lemma zenon_L175_ *) % 0.77/0.95 assert (zenon_L176_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (c3_1 (a563)) -> (c1_1 (a563)) -> (c0_1 (a563)) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a582))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H74 zenon_H73 zenon_H86 zenon_H10 zenon_H43 zenon_H13b zenon_Hfa zenon_Hf9. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H1da ]. % 0.77/0.95 apply (zenon_L52_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H126 | zenon_intro zenon_He6 ]. % 0.77/0.95 apply (zenon_L102_); trivial. % 0.77/0.95 apply (zenon_L175_); trivial. % 0.77/0.95 (* end of lemma zenon_L176_ *) % 0.77/0.95 assert (zenon_L177_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (c3_1 (a563)) -> (c1_1 (a563)) -> (c0_1 (a563)) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H74 zenon_H73 zenon_H86 zenon_H10 zenon_H62 zenon_Hf9 zenon_Hfa. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H1da ]. % 0.77/0.95 apply (zenon_L52_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H126 | zenon_intro zenon_He6 ]. % 0.77/0.95 apply (zenon_L102_); trivial. % 0.77/0.95 apply (zenon_L76_); trivial. % 0.77/0.95 (* end of lemma zenon_L177_ *) % 0.77/0.95 assert (zenon_L178_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a582))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H81 zenon_H1db zenon_H13b zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_Hf9 zenon_Hfa. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.77/0.95 apply (zenon_L174_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.77/0.95 apply (zenon_L176_); trivial. % 0.77/0.95 apply (zenon_L177_); trivial. % 0.77/0.95 (* end of lemma zenon_L178_ *) % 0.77/0.95 assert (zenon_L179_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14a zenon_H8c zenon_H1db zenon_Haa zenon_Hab zenon_Hac zenon_H1d9 zenon_H4b zenon_H4d zenon_H4f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.77/0.95 apply (zenon_L28_); trivial. % 0.77/0.95 apply (zenon_L178_); trivial. % 0.77/0.95 (* end of lemma zenon_L179_ *) % 0.77/0.95 assert (zenon_L180_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(c0_1 (a547))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1db zenon_H1d9 zenon_H4b zenon_H4d zenon_H4f zenon_H1cf zenon_H1c2 zenon_H1c4 zenon_H1b zenon_H1d zenon_H20 zenon_H1d1 zenon_H3d zenon_H180 zenon_Hf7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.95 apply (zenon_L169_); trivial. % 0.77/0.95 apply (zenon_L179_); trivial. % 0.77/0.95 (* end of lemma zenon_L180_ *) % 0.77/0.95 assert (zenon_L181_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a582))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (c2_1 (a582)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H140 zenon_H10 zenon_H13b zenon_H1d5 zenon_Hf9. % 0.77/0.95 generalize (zenon_H140 (a582)). zenon_intro zenon_H141. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H141); [ zenon_intro zenon_Hf | zenon_intro zenon_H142 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H13f | zenon_intro zenon_H143 ]. % 0.77/0.95 exact (zenon_H13b zenon_H13f). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H100 ]. % 0.77/0.95 apply (zenon_L172_); trivial. % 0.77/0.95 exact (zenon_H100 zenon_Hf9). % 0.77/0.95 (* end of lemma zenon_L181_ *) % 0.77/0.95 assert (zenon_L182_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (c2_1 (a582)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a582))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1dd zenon_H9c zenon_H9b zenon_H9a zenon_Hf9 zenon_H1d5 zenon_H13b zenon_H10 zenon_H49. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.77/0.95 apply (zenon_L43_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.77/0.95 apply (zenon_L181_); trivial. % 0.77/0.95 exact (zenon_H49 zenon_H4a). % 0.77/0.95 (* end of lemma zenon_L182_ *) % 0.77/0.95 assert (zenon_L183_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp31)) -> (~(c1_1 (a582))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (ndr1_0) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1db zenon_H49 zenon_H13b zenon_Hfa zenon_Hf9 zenon_H1dd zenon_H10 zenon_H9a zenon_H9b zenon_H9c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.77/0.95 apply (zenon_L182_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.77/0.95 apply (zenon_L43_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.77/0.95 apply (zenon_L96_); trivial. % 0.77/0.95 exact (zenon_H49 zenon_H4a). % 0.77/0.95 apply (zenon_L43_); trivial. % 0.77/0.95 (* end of lemma zenon_L183_ *) % 0.77/0.95 assert (zenon_L184_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14a zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H1dd zenon_H9c zenon_H9b zenon_H9a zenon_H1db zenon_H25 zenon_H29 zenon_H2b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.77/0.95 apply (zenon_L17_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.77/0.95 apply (zenon_L183_); trivial. % 0.77/0.95 apply (zenon_L44_); trivial. % 0.77/0.95 (* end of lemma zenon_L184_ *) % 0.77/0.95 assert (zenon_L185_ : ((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H133 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H4b zenon_H4d zenon_H4f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H10. zenon_intro zenon_H135. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H112. zenon_intro zenon_H136. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.77/0.95 apply (zenon_L28_); trivial. % 0.77/0.95 apply (zenon_L103_); trivial. % 0.77/0.95 (* end of lemma zenon_L185_ *) % 0.77/0.95 assert (zenon_L186_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp22)\/(hskp23))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H138 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H4b zenon_H4d zenon_H4f zenon_H1 zenon_H3 zenon_H7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H5 | zenon_intro zenon_H133 ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_L185_); trivial. % 0.77/0.95 (* end of lemma zenon_L186_ *) % 0.77/0.95 assert (zenon_L187_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H95 zenon_Hf7 zenon_Hf3 zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H7 zenon_H1 zenon_H4f zenon_H4d zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L186_); trivial. % 0.77/0.95 apply (zenon_L80_); trivial. % 0.77/0.95 (* end of lemma zenon_L187_ *) % 0.77/0.95 assert (zenon_L188_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hda zenon_H14f zenon_H1db zenon_H1d9 zenon_H138 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H4b zenon_H4d zenon_H4f zenon_H7 zenon_He4 zenon_Hb3 zenon_Hf0 zenon_Hf3 zenon_Hf7 zenon_H95. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.95 apply (zenon_L187_); trivial. % 0.77/0.95 apply (zenon_L179_); trivial. % 0.77/0.95 (* end of lemma zenon_L188_ *) % 0.77/0.95 assert (zenon_L189_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd7 zenon_H1db zenon_H1d9 zenon_H4b zenon_H4f zenon_H95 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H7 zenon_H98 zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138 zenon_H8a zenon_H83 zenon_H29 zenon_H56 zenon_H54 zenon_Ha3 zenon_Ha5 zenon_H14f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.95 apply (zenon_L130_); trivial. % 0.77/0.95 apply (zenon_L188_); trivial. % 0.77/0.95 (* end of lemma zenon_L189_ *) % 0.77/0.95 assert (zenon_L190_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (c2_1 (a547)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(c3_1 (a547))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H15c zenon_H155 zenon_H154 zenon_H153 zenon_H1c4 zenon_H1c3 zenon_H1c2 zenon_H10 zenon_Ha3. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H125 | zenon_intro zenon_H15d ]. % 0.77/0.95 apply (zenon_L107_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha4 ]. % 0.77/0.95 apply (zenon_L164_); trivial. % 0.77/0.95 exact (zenon_Ha3 zenon_Ha4). % 0.77/0.95 (* end of lemma zenon_L190_ *) % 0.77/0.95 assert (zenon_L191_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1df zenon_H9c zenon_H9b zenon_H9a zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H153 zenon_H154 zenon_H155 zenon_H15c zenon_H10 zenon_H104 zenon_H105 zenon_H106. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.77/0.95 apply (zenon_L43_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.77/0.95 apply (zenon_L190_); trivial. % 0.77/0.95 apply (zenon_L82_); trivial. % 0.77/0.95 (* end of lemma zenon_L191_ *) % 0.77/0.95 assert (zenon_L192_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a547))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H194 zenon_H161 zenon_H15c zenon_H1df zenon_H47 zenon_H139 zenon_H131 zenon_H148 zenon_H146 zenon_H7f zenon_H14b zenon_H10f zenon_H7 zenon_H134 zenon_H138 zenon_Ha5 zenon_H15e zenon_Hd6 zenon_H160 zenon_Hd7 zenon_H1db zenon_H1d9 zenon_H4b zenon_H4f zenon_Hf7 zenon_H180 zenon_H3d zenon_H1d1 zenon_H20 zenon_H1d zenon_H1b zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H1cf zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_Hf0 zenon_Hf3 zenon_H98 zenon_H29 zenon_H2b zenon_He4 zenon_Hb3 zenon_H95 zenon_H14f zenon_H1dd zenon_Hdd. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.95 apply (zenon_L171_); trivial. % 0.77/0.95 apply (zenon_L180_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.77/0.95 apply (zenon_L169_); trivial. % 0.77/0.95 apply (zenon_L184_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L84_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_L189_); trivial. % 0.77/0.95 apply (zenon_L111_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L84_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.77/0.95 apply (zenon_L101_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_L191_); trivial. % 0.77/0.95 apply (zenon_L111_); trivial. % 0.77/0.95 (* end of lemma zenon_L192_ *) % 0.77/0.95 assert (zenon_L193_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (~(hskp15)) -> (ndr1_0) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H180 zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H10d zenon_H10 zenon_H174 zenon_H176 zenon_H10f zenon_H3d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.77/0.95 apply (zenon_L167_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.77/0.95 apply (zenon_L117_); trivial. % 0.77/0.95 exact (zenon_H3d zenon_H3e). % 0.77/0.95 (* end of lemma zenon_L193_ *) % 0.77/0.95 assert (zenon_L194_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> (ndr1_0) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H160 zenon_Hd6 zenon_H15e zenon_H1d zenon_H14f zenon_Ha5 zenon_H54 zenon_H56 zenon_H29 zenon_H83 zenon_H8a zenon_H138 zenon_H8c zenon_H134 zenon_H98 zenon_H7 zenon_He4 zenon_Hb3 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7 zenon_H95 zenon_H18b zenon_H18d zenon_Hd7 zenon_H10 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H10f zenon_H3d zenon_H176 zenon_H174 zenon_H180. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L193_); trivial. % 0.77/0.95 apply (zenon_L132_); trivial. % 0.77/0.95 (* end of lemma zenon_L194_ *) % 0.77/0.95 assert (zenon_L195_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(c0_1 (a573))) -> (~(c1_1 (a573))) -> (~(c3_1 (a573))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H95 zenon_Hd1 zenon_H82 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H7f zenon_Hc3 zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H96 zenon_H9a zenon_H9b zenon_H9c zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.77/0.95 apply (zenon_L45_); trivial. % 0.77/0.95 apply (zenon_L63_); trivial. % 0.77/0.95 (* end of lemma zenon_L195_ *) % 0.77/0.95 assert (zenon_L196_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd2 zenon_Hd7 zenon_H18d zenon_H18b zenon_Hb3 zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H9c zenon_H9b zenon_H9a zenon_H98 zenon_H25 zenon_H29 zenon_H2b zenon_Hc3 zenon_H7f zenon_H82 zenon_Hd1 zenon_H95. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.96 apply (zenon_L195_); trivial. % 0.77/0.96 apply (zenon_L126_); trivial. % 0.77/0.96 (* end of lemma zenon_L196_ *) % 0.77/0.96 assert (zenon_L197_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hd5 zenon_Hd6 zenon_Hc3 zenon_H7f zenon_H82 zenon_Hd1 zenon_H95 zenon_H8b zenon_H41 zenon_H3d zenon_H47 zenon_Ha5 zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a zenon_Hb3 zenon_H18b zenon_H18d zenon_Hd7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.77/0.96 apply (zenon_L51_); trivial. % 0.77/0.96 apply (zenon_L126_); trivial. % 0.77/0.96 apply (zenon_L196_); trivial. % 0.77/0.96 (* end of lemma zenon_L197_ *) % 0.77/0.96 assert (zenon_L198_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp0)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H180 zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H12f zenon_H10 zenon_H11c zenon_H11d zenon_H11e zenon_H183 zenon_H174 zenon_H176 zenon_H131 zenon_H3d. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.77/0.96 apply (zenon_L167_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.77/0.96 apply (zenon_L136_); trivial. % 0.77/0.96 exact (zenon_H3d zenon_H3e). % 0.77/0.96 (* end of lemma zenon_L198_ *) % 0.77/0.96 assert (zenon_L199_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(c0_1 (a547))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp18)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp0)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H180 zenon_H1d1 zenon_H176 zenon_H174 zenon_H10 zenon_H15c zenon_H155 zenon_H154 zenon_H153 zenon_H1c4 zenon_H1c2 zenon_Ha3 zenon_H9a zenon_H9b zenon_H9c zenon_H1df zenon_H3d. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.77/0.96 apply (zenon_L167_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.80/0.96 apply (zenon_L43_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.80/0.96 apply (zenon_L190_); trivial. % 0.80/0.96 apply (zenon_L116_); trivial. % 0.80/0.96 exact (zenon_H3d zenon_H3e). % 0.80/0.96 (* end of lemma zenon_L199_ *) % 0.80/0.96 assert (zenon_L200_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd5 zenon_H160 zenon_H161 zenon_Hd6 zenon_H15e zenon_H1d zenon_H1df zenon_H15c zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H131 zenon_H176 zenon_H174 zenon_H183 zenon_H180 zenon_H104 zenon_H105 zenon_H106 zenon_H3d zenon_H10f. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.96 apply (zenon_L84_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.96 apply (zenon_L198_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.96 apply (zenon_L199_); trivial. % 0.80/0.96 apply (zenon_L111_); trivial. % 0.80/0.96 (* end of lemma zenon_L200_ *) % 0.80/0.96 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H161 zenon_H1df zenon_H15c zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H131 zenon_H176 zenon_H174 zenon_H183 zenon_H180 zenon_H10f zenon_H3d zenon_Hd7 zenon_H18d zenon_H18b zenon_H95 zenon_Hf7 zenon_Hf3 zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H7 zenon_H98 zenon_H134 zenon_H8c zenon_H138 zenon_H8a zenon_H83 zenon_H29 zenon_H56 zenon_H54 zenon_Ha5 zenon_H14f zenon_H1d zenon_H15e zenon_Hd6 zenon_H160. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.96 apply (zenon_L133_); trivial. % 0.80/0.96 apply (zenon_L200_); trivial. % 0.80/0.96 (* end of lemma zenon_L201_ *) % 0.80/0.96 assert (zenon_L202_ : (~(hskp25)) -> (hskp25) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1e1 zenon_H1e2. % 0.80/0.96 exact (zenon_H1e1 zenon_H1e2). % 0.80/0.96 (* end of lemma zenon_L202_ *) % 0.80/0.96 assert (zenon_L203_ : ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(hskp25)) -> (~(hskp22)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1e3 zenon_H25 zenon_H1e1 zenon_H3. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H26 | zenon_intro zenon_H1e4 ]. % 0.80/0.96 exact (zenon_H25 zenon_H26). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H4 ]. % 0.80/0.96 exact (zenon_H1e1 zenon_H1e2). % 0.80/0.96 exact (zenon_H3 zenon_H4). % 0.80/0.96 (* end of lemma zenon_L203_ *) % 0.80/0.96 assert (zenon_L204_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a594))) -> (~(c1_1 (a594))) -> (c2_1 (a594)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1d5 zenon_H10 zenon_H1e5 zenon_H1e6 zenon_H1e7. % 0.80/0.96 generalize (zenon_H1d5 (a594)). zenon_intro zenon_H1e8. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H1e8); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e9 ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ea ]. % 0.80/0.96 exact (zenon_H1e5 zenon_H1eb). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ec ]. % 0.80/0.96 exact (zenon_H1e6 zenon_H1ed). % 0.80/0.96 exact (zenon_H1ec zenon_H1e7). % 0.80/0.96 (* end of lemma zenon_L204_ *) % 0.80/0.96 assert (zenon_L205_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a594))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a594))) -> (c2_1 (a594)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1c3 zenon_H10 zenon_H1e6 zenon_H43 zenon_H1e5 zenon_H1e7. % 0.80/0.96 generalize (zenon_H1c3 (a594)). zenon_intro zenon_H1ee. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H1ee); [ zenon_intro zenon_Hf | zenon_intro zenon_H1ef ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1f0 ]. % 0.80/0.96 exact (zenon_H1e6 zenon_H1ed). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1ec ]. % 0.80/0.96 generalize (zenon_H43 (a594)). zenon_intro zenon_H1f2. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H1f2); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f3 ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1f4 ]. % 0.80/0.96 exact (zenon_H1e5 zenon_H1eb). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1f5 ]. % 0.80/0.96 exact (zenon_H1e6 zenon_H1ed). % 0.80/0.96 exact (zenon_H1f5 zenon_H1f1). % 0.80/0.96 exact (zenon_H1ec zenon_H1e7). % 0.80/0.96 (* end of lemma zenon_L205_ *) % 0.80/0.96 assert (zenon_L206_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a594)) -> (~(c0_1 (a594))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a594))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1cf zenon_H1e7 zenon_H1e5 zenon_H43 zenon_H1e6 zenon_H10 zenon_He2 zenon_H1. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 0.80/0.96 apply (zenon_L205_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.80/0.96 exact (zenon_He2 zenon_He3). % 0.80/0.96 exact (zenon_H1 zenon_H2). % 0.80/0.96 (* end of lemma zenon_L206_ *) % 0.80/0.96 assert (zenon_L207_ : ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (c1_1 (a562)) -> (c3_1 (a562)) -> (c2_1 (a562)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp14)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1f6 zenon_H6d zenon_H65 zenon_H64 zenon_H62 zenon_H10 zenon_H9 zenon_H4d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H6c | zenon_intro zenon_H1f7 ]. % 0.80/0.96 apply (zenon_L34_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Ha | zenon_intro zenon_H4e ]. % 0.80/0.96 exact (zenon_H9 zenon_Ha). % 0.80/0.96 exact (zenon_H4d zenon_H4e). % 0.80/0.96 (* end of lemma zenon_L207_ *) % 0.80/0.96 assert (zenon_L208_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp26)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp29)) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a594)) -> (~(c1_1 (a594))) -> (~(c0_1 (a594))) -> (ndr1_0) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H8b zenon_H1db zenon_H9 zenon_H4d zenon_H1f6 zenon_He2 zenon_H1 zenon_H1cf zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H10 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.96 apply (zenon_L144_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.96 apply (zenon_L204_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.96 apply (zenon_L206_); trivial. % 0.80/0.96 apply (zenon_L207_); trivial. % 0.80/0.96 (* end of lemma zenon_L208_ *) % 0.80/0.96 assert (zenon_L209_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c2_1 (a562)) -> (c3_1 (a562)) -> False). % 0.80/0.96 do 0 intro. intros zenon_He6 zenon_H10 zenon_H62 zenon_H64 zenon_H65. % 0.80/0.96 generalize (zenon_He6 (a562)). zenon_intro zenon_H1f8. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f9 ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H63 | zenon_intro zenon_H68 ]. % 0.80/0.96 apply (zenon_L33_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.80/0.96 exact (zenon_H6b zenon_H64). % 0.80/0.96 exact (zenon_H6a zenon_H65). % 0.80/0.96 (* end of lemma zenon_L209_ *) % 0.80/0.96 assert (zenon_L210_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp21)) -> (~(hskp14)) -> (~(c3_1 (a604))) -> (c2_1 (a604)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (c3_1 (a562)) -> (c2_1 (a562)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H180 zenon_H1 zenon_H4d zenon_H12 zenon_H14 zenon_H172 zenon_H65 zenon_H64 zenon_H62 zenon_H10 zenon_H3d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/0.96 apply (zenon_L114_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.96 apply (zenon_L209_); trivial. % 0.80/0.96 exact (zenon_H3d zenon_H3e). % 0.80/0.96 (* end of lemma zenon_L210_ *) % 0.80/0.96 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp29)) -> (~(c1_1 (a594))) -> (~(c0_1 (a594))) -> (c2_1 (a594)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp21)) -> (~(hskp14)) -> (~(c3_1 (a604))) -> (c2_1 (a604)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp0)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H92 zenon_H1db zenon_He2 zenon_H1e6 zenon_H1e5 zenon_H1e7 zenon_H1cf zenon_H180 zenon_H1 zenon_H4d zenon_H12 zenon_H14 zenon_H172 zenon_H3d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.96 apply (zenon_L204_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.96 apply (zenon_L206_); trivial. % 0.80/0.96 apply (zenon_L210_); trivial. % 0.80/0.96 (* end of lemma zenon_L211_ *) % 0.80/0.96 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp21)) -> (~(hskp14)) -> (~(c3_1 (a604))) -> (c2_1 (a604)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp0)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hf2 zenon_H180 zenon_H1 zenon_H4d zenon_H12 zenon_H14 zenon_H172 zenon_H3d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/0.96 apply (zenon_L114_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.96 apply (zenon_L71_); trivial. % 0.80/0.96 exact (zenon_H3d zenon_H3e). % 0.80/0.96 (* end of lemma zenon_L212_ *) % 0.80/0.96 assert (zenon_L213_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> (~(c0_1 (a594))) -> (~(c1_1 (a594))) -> (c2_1 (a594)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1f zenon_Hf7 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H1cf zenon_H1 zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.96 apply (zenon_L144_); trivial. % 0.80/0.96 apply (zenon_L211_); trivial. % 0.80/0.96 apply (zenon_L212_); trivial. % 0.80/0.96 (* end of lemma zenon_L213_ *) % 0.80/0.96 assert (zenon_L214_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1fa zenon_H24 zenon_H172 zenon_H8b zenon_H1db zenon_H4d zenon_H1f6 zenon_H1 zenon_H1cf zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H180 zenon_Hf7. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/0.96 apply (zenon_L208_); trivial. % 0.80/0.96 apply (zenon_L168_); trivial. % 0.80/0.96 apply (zenon_L213_); trivial. % 0.80/0.96 (* end of lemma zenon_L214_ *) % 0.80/0.96 assert (zenon_L215_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H89 zenon_Hf7 zenon_H180 zenon_H3d zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_Hb3 zenon_He4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/0.96 apply (zenon_L70_); trivial. % 0.80/0.96 apply (zenon_L168_); trivial. % 0.80/0.96 (* end of lemma zenon_L215_ *) % 0.80/0.96 assert (zenon_L216_ : ((ndr1_0)/\((c1_1 (a551))/\((c3_1 (a551))/\(~(c0_1 (a551)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1fd zenon_H1c1 zenon_H56 zenon_Hdd zenon_H95 zenon_He4 zenon_H1e3 zenon_Hf7 zenon_H180 zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H41 zenon_H3d zenon_H1cf zenon_H1f6 zenon_H1db zenon_H8b zenon_H172 zenon_H24 zenon_H1fe zenon_H2b zenon_H29 zenon_H146 zenon_H54 zenon_H83 zenon_H8a zenon_H14f zenon_H10f zenon_H139 zenon_H160 zenon_H194. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.96 apply (zenon_L203_); trivial. % 0.80/0.96 apply (zenon_L214_); trivial. % 0.80/0.96 apply (zenon_L215_); trivial. % 0.80/0.96 apply (zenon_L156_); trivial. % 0.80/0.96 apply (zenon_L146_); trivial. % 0.80/0.96 apply (zenon_L148_); trivial. % 0.80/0.96 apply (zenon_L162_); trivial. % 0.80/0.96 (* end of lemma zenon_L216_ *) % 0.80/0.96 assert (zenon_L217_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H43 zenon_H10 zenon_H201 zenon_H202 zenon_H203. % 0.80/0.96 generalize (zenon_H43 (a546)). zenon_intro zenon_H204. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H204); [ zenon_intro zenon_Hf | zenon_intro zenon_H205 ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ]. % 0.80/0.96 exact (zenon_H201 zenon_H207). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H209 | zenon_intro zenon_H208 ]. % 0.80/0.96 exact (zenon_H202 zenon_H209). % 0.80/0.96 exact (zenon_H208 zenon_H203). % 0.80/0.96 (* end of lemma zenon_L217_ *) % 0.80/0.96 assert (zenon_L218_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp2)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H14b zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H1b zenon_H7f. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H43 | zenon_intro zenon_H14e ]. % 0.80/0.96 apply (zenon_L217_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H80 ]. % 0.80/0.96 exact (zenon_H1b zenon_H1c). % 0.80/0.96 exact (zenon_H7f zenon_H80). % 0.80/0.96 (* end of lemma zenon_L218_ *) % 0.80/0.96 assert (zenon_L219_ : (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (c2_1 (a544)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H6c zenon_H10 zenon_H20a zenon_H20b zenon_H20c. % 0.80/0.96 generalize (zenon_H6c (a544)). zenon_intro zenon_H20d. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_Hf | zenon_intro zenon_H20e ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.80/0.96 exact (zenon_H210 zenon_H20a). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.80/0.96 exact (zenon_H212 zenon_H20b). % 0.80/0.96 exact (zenon_H211 zenon_H20c). % 0.80/0.96 (* end of lemma zenon_L219_ *) % 0.80/0.96 assert (zenon_L220_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp29)) -> (~(c1_1 (a594))) -> (~(c0_1 (a594))) -> (c2_1 (a594)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp22)) -> (~(hskp21)) -> (ndr1_0) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H213 zenon_He2 zenon_H1e6 zenon_H1e5 zenon_H1e7 zenon_H1cf zenon_H3 zenon_H1 zenon_H10 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H187. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.96 apply (zenon_L206_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H218 | zenon_intro zenon_H217 ]. % 0.80/0.96 generalize (zenon_H218 (a544)). zenon_intro zenon_H219. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_Hf | zenon_intro zenon_H21a ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H20c | zenon_intro zenon_H21b ]. % 0.80/0.96 apply (zenon_L219_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21c | zenon_intro zenon_H210 ]. % 0.80/0.96 exact (zenon_H214 zenon_H21c). % 0.80/0.96 exact (zenon_H210 zenon_H20a). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 0.80/0.96 exact (zenon_H1 zenon_H2). % 0.80/0.96 exact (zenon_H3 zenon_H4). % 0.80/0.96 exact (zenon_H187 zenon_H188). % 0.80/0.96 (* end of lemma zenon_L220_ *) % 0.80/0.96 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a594)) -> (~(c0_1 (a594))) -> (~(c1_1 (a594))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1f zenon_Hf7 zenon_H180 zenon_H3d zenon_H4d zenon_H172 zenon_H1cf zenon_H1 zenon_H1e7 zenon_H1e5 zenon_H1e6 zenon_H215 zenon_H3 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/0.96 apply (zenon_L220_); trivial. % 0.80/0.96 apply (zenon_L212_); trivial. % 0.80/0.96 (* end of lemma zenon_L221_ *) % 0.80/0.96 assert (zenon_L222_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp13)) -> (~(hskp22)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1fe zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H4d zenon_H172 zenon_H1cf zenon_H1 zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_Hb zenon_Hd zenon_H25 zenon_H3 zenon_H1e3. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.96 apply (zenon_L203_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.96 apply (zenon_L7_); trivial. % 0.80/0.96 apply (zenon_L221_); trivial. % 0.80/0.96 (* end of lemma zenon_L222_ *) % 0.80/0.96 assert (zenon_L223_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp14)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H95 zenon_H8a zenon_H8b zenon_H8c zenon_H82 zenon_H7f zenon_H83 zenon_H54 zenon_H56 zenon_H4b zenon_H4f zenon_H41 zenon_H47 zenon_H29 zenon_H2b zenon_H1e3 zenon_H25 zenon_Hd zenon_Hb zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1 zenon_H1cf zenon_H172 zenon_H4d zenon_H3d zenon_H180 zenon_Hf7 zenon_H24 zenon_H1fe. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.96 apply (zenon_L222_); trivial. % 0.80/0.96 apply (zenon_L39_); trivial. % 0.80/0.96 (* end of lemma zenon_L223_ *) % 0.80/0.96 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1db zenon_H1d9 zenon_H4b zenon_H4f zenon_H1fe zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H4d zenon_H172 zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_Hb zenon_Hd zenon_H25 zenon_H1e3 zenon_Ha5 zenon_Ha3 zenon_H54 zenon_H47 zenon_H41 zenon_Hb5 zenon_Hb3 zenon_H83 zenon_H8b zenon_H8a zenon_H95. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.96 apply (zenon_L222_); trivial. % 0.80/0.96 apply (zenon_L56_); trivial. % 0.80/0.96 apply (zenon_L179_); trivial. % 0.80/0.96 (* end of lemma zenon_L224_ *) % 0.80/0.96 assert (zenon_L225_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(c0_1 (a573))) -> (~(c1_1 (a573))) -> (~(c3_1 (a573))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp14)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H95 zenon_Hd1 zenon_H82 zenon_H54 zenon_H29 zenon_H56 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H7f zenon_Hc3 zenon_H1e3 zenon_H25 zenon_Hd zenon_Hb zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1 zenon_H1cf zenon_H172 zenon_H4d zenon_H3d zenon_H180 zenon_Hf7 zenon_H24 zenon_H1fe. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.96 apply (zenon_L222_); trivial. % 0.80/0.96 apply (zenon_L63_); trivial. % 0.80/0.96 (* end of lemma zenon_L225_ *) % 0.80/0.96 assert (zenon_L226_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a573))) -> (~(c1_1 (a573))) -> (~(c0_1 (a573))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H14f zenon_Hb3 zenon_He4 zenon_H2b zenon_H98 zenon_H96 zenon_Hf3 zenon_Hf0 zenon_H83 zenon_H8c zenon_H8a zenon_H1fe zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H4d zenon_H172 zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_Hb zenon_Hd zenon_H25 zenon_H1e3 zenon_Hc3 zenon_H7f zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H56 zenon_H29 zenon_H54 zenon_H82 zenon_Hd1 zenon_H95. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L225_); trivial. % 0.80/0.96 apply (zenon_L170_); trivial. % 0.80/0.96 (* end of lemma zenon_L226_ *) % 0.80/0.96 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a573))) -> (~(c1_1 (a573))) -> (~(c0_1 (a573))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1db zenon_H1d9 zenon_H4b zenon_H4f zenon_H1fe zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H4d zenon_H172 zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_Hb zenon_Hd zenon_H25 zenon_H1e3 zenon_Hc3 zenon_H7f zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H56 zenon_H29 zenon_H54 zenon_H82 zenon_Hd1 zenon_H95. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L225_); trivial. % 0.80/0.96 apply (zenon_L179_); trivial. % 0.80/0.96 (* end of lemma zenon_L227_ *) % 0.80/0.96 assert (zenon_L228_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd6 zenon_Hd1 zenon_Hc3 zenon_H14f zenon_Hb3 zenon_He4 zenon_H98 zenon_Hf3 zenon_Hf0 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H4d zenon_H172 zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_Hb zenon_Hd zenon_H25 zenon_H1e3 zenon_H2b zenon_H29 zenon_H47 zenon_H41 zenon_H4f zenon_H4b zenon_H56 zenon_H54 zenon_H83 zenon_H7f zenon_H82 zenon_H8c zenon_H8b zenon_H8a zenon_H95 zenon_Hb5 zenon_Ha5 zenon_H1d9 zenon_H1db zenon_Hd7. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L223_); trivial. % 0.80/0.96 apply (zenon_L170_); trivial. % 0.80/0.96 apply (zenon_L224_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.96 apply (zenon_L226_); trivial. % 0.80/0.96 apply (zenon_L227_); trivial. % 0.80/0.96 (* end of lemma zenon_L228_ *) % 0.80/0.96 assert (zenon_L229_ : (forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56)))))) -> (ndr1_0) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H21d zenon_H10 zenon_H214 zenon_H20a zenon_H20b. % 0.80/0.96 generalize (zenon_H21d (a544)). zenon_intro zenon_H21e. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H21e); [ zenon_intro zenon_Hf | zenon_intro zenon_H21f ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21c | zenon_intro zenon_H220 ]. % 0.80/0.96 exact (zenon_H214 zenon_H21c). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H210 | zenon_intro zenon_H212 ]. % 0.80/0.96 exact (zenon_H210 zenon_H20a). % 0.80/0.96 exact (zenon_H212 zenon_H20b). % 0.80/0.96 (* end of lemma zenon_L229_ *) % 0.80/0.96 assert (zenon_L230_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (~(hskp12)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H165 zenon_H221 zenon_H20b zenon_H20a zenon_H214 zenon_H4b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H125 | zenon_intro zenon_H222 ]. % 0.80/0.96 apply (zenon_L107_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H21d | zenon_intro zenon_H4c ]. % 0.80/0.96 apply (zenon_L229_); trivial. % 0.80/0.96 exact (zenon_H4b zenon_H4c). % 0.80/0.96 (* end of lemma zenon_L230_ *) % 0.80/0.96 assert (zenon_L231_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a582)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a582))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (~(hskp3)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H146 zenon_Hf9 zenon_H1d5 zenon_H13b zenon_H105 zenon_H106 zenon_H104 zenon_H10 zenon_H125 zenon_H54. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_L181_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.80/0.96 apply (zenon_L97_); trivial. % 0.80/0.96 exact (zenon_H54 zenon_H55). % 0.80/0.96 (* end of lemma zenon_L231_ *) % 0.80/0.96 assert (zenon_L232_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (~(hskp3)) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c1_1 (a582))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (c2_1 (a582)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H221 zenon_H54 zenon_H104 zenon_H106 zenon_H105 zenon_H13b zenon_H1d5 zenon_Hf9 zenon_H146 zenon_H20b zenon_H20a zenon_H214 zenon_H10 zenon_H4b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H125 | zenon_intro zenon_H222 ]. % 0.80/0.96 apply (zenon_L231_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H21d | zenon_intro zenon_H4c ]. % 0.80/0.96 apply (zenon_L229_); trivial. % 0.80/0.96 exact (zenon_H4b zenon_H4c). % 0.80/0.96 (* end of lemma zenon_L232_ *) % 0.80/0.96 assert (zenon_L233_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (~(hskp3)) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c1_1 (a582))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H221 zenon_H54 zenon_H104 zenon_H106 zenon_H105 zenon_H13b zenon_H43 zenon_Hfa zenon_Hf9 zenon_H146 zenon_H20b zenon_H20a zenon_H214 zenon_H10 zenon_H4b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H125 | zenon_intro zenon_H222 ]. % 0.80/0.96 apply (zenon_L98_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H21d | zenon_intro zenon_H4c ]. % 0.80/0.96 apply (zenon_L229_); trivial. % 0.80/0.96 exact (zenon_H4b zenon_H4c). % 0.80/0.96 (* end of lemma zenon_L233_ *) % 0.80/0.96 assert (zenon_L234_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp12)) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp3)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H14a zenon_H1db zenon_H4b zenon_H214 zenon_H20a zenon_H20b zenon_H146 zenon_H105 zenon_H106 zenon_H104 zenon_H54 zenon_H221 zenon_H9a zenon_H9b zenon_H9c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.96 apply (zenon_L232_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.96 apply (zenon_L233_); trivial. % 0.80/0.96 apply (zenon_L43_); trivial. % 0.80/0.96 (* end of lemma zenon_L234_ *) % 0.80/0.96 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H146 zenon_H10f zenon_H3d zenon_Hd6 zenon_H15e zenon_H1d zenon_H14f zenon_Ha5 zenon_H54 zenon_H56 zenon_H29 zenon_H83 zenon_H8a zenon_H138 zenon_H8c zenon_H134 zenon_H98 zenon_H7 zenon_He4 zenon_Hb3 zenon_Hf0 zenon_Hf3 zenon_Hf7 zenon_H95 zenon_H47 zenon_H139 zenon_H131 zenon_H4f zenon_H4b zenon_H1d9 zenon_H1db zenon_Hd7 zenon_H214 zenon_H20a zenon_H20b zenon_H221 zenon_H161 zenon_H160. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.96 apply (zenon_L84_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.96 apply (zenon_L130_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L94_); trivial. % 0.80/0.96 apply (zenon_L179_); trivial. % 0.80/0.96 apply (zenon_L111_); trivial. % 0.80/0.96 apply (zenon_L230_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.96 apply (zenon_L84_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L94_); trivial. % 0.80/0.96 apply (zenon_L234_); trivial. % 0.80/0.96 apply (zenon_L230_); trivial. % 0.80/0.96 (* end of lemma zenon_L235_ *) % 0.80/0.96 assert (zenon_L236_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H161 zenon_H15c zenon_H139 zenon_H8b zenon_H41 zenon_H47 zenon_H18f zenon_H131 zenon_H160 zenon_H138 zenon_H134 zenon_H7 zenon_Hd7 zenon_H18d zenon_H18b zenon_H95 zenon_H189 zenon_H187 zenon_H54 zenon_H29 zenon_H56 zenon_Hd zenon_Hb zenon_H172 zenon_H10f zenon_H3d zenon_H180 zenon_H24 zenon_H8a zenon_H8c zenon_H83 zenon_Hf0 zenon_Hf3 zenon_H98 zenon_Ha5 zenon_He4 zenon_Hb3 zenon_Hf7 zenon_H14f zenon_H1d zenon_H15e zenon_Hd6 zenon_H2b zenon_Hdd. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.80/0.96 apply (zenon_L140_); trivial. % 0.80/0.96 (* end of lemma zenon_L236_ *) % 0.80/0.96 assert (zenon_L237_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H14a zenon_H8a zenon_H8b zenon_H83 zenon_H146 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H54 zenon_Ha3 zenon_Ha5. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/0.96 apply (zenon_L47_); trivial. % 0.80/0.96 apply (zenon_L155_); trivial. % 0.80/0.96 (* end of lemma zenon_L237_ *) % 0.80/0.96 assert (zenon_L238_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd2 zenon_H14f zenon_H8a zenon_H8b zenon_H83 zenon_H146 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H41 zenon_H2b zenon_H1fe zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H4d zenon_H172 zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_Hb zenon_Hd zenon_H25 zenon_H1e3 zenon_Hc3 zenon_H7f zenon_H56 zenon_H29 zenon_H54 zenon_H82 zenon_Hd1 zenon_H95. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L225_); trivial. % 0.80/0.96 apply (zenon_L156_); trivial. % 0.80/0.96 (* end of lemma zenon_L238_ *) % 0.80/0.96 assert (zenon_L239_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H194 zenon_H160 zenon_H139 zenon_H10f zenon_Hd6 zenon_Hc3 zenon_Hd1 zenon_H95 zenon_H8a zenon_H8b zenon_H8c zenon_H82 zenon_H7f zenon_H83 zenon_H54 zenon_H56 zenon_H4b zenon_H4f zenon_H41 zenon_H47 zenon_H29 zenon_H2b zenon_H1e3 zenon_Hd zenon_Hb zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1cf zenon_H172 zenon_H3d zenon_H180 zenon_Hf7 zenon_H24 zenon_H1fe zenon_Ha5 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H146 zenon_H14f zenon_Hdd. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L223_); trivial. % 0.80/0.96 apply (zenon_L237_); trivial. % 0.80/0.96 apply (zenon_L238_); trivial. % 0.80/0.96 apply (zenon_L146_); trivial. % 0.80/0.96 apply (zenon_L148_); trivial. % 0.80/0.96 (* end of lemma zenon_L239_ *) % 0.80/0.96 assert (zenon_L240_ : (forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H223 zenon_H10 zenon_H6c zenon_H20a zenon_H20b zenon_H214. % 0.80/0.96 generalize (zenon_H223 (a544)). zenon_intro zenon_H224. % 0.80/0.96 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_Hf | zenon_intro zenon_H225 ]. % 0.80/0.96 exact (zenon_Hf zenon_H10). % 0.80/0.96 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H20c | zenon_intro zenon_H226 ]. % 0.80/0.96 apply (zenon_L219_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21c | zenon_intro zenon_H212 ]. % 0.80/0.96 exact (zenon_H214 zenon_H21c). % 0.80/0.96 exact (zenon_H212 zenon_H20b). % 0.80/0.96 (* end of lemma zenon_L240_ *) % 0.80/0.96 assert (zenon_L241_ : ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp4)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H227 zenon_H214 zenon_H20b zenon_H20a zenon_H6c zenon_H10 zenon_H1e1 zenon_H1d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H223 | zenon_intro zenon_H228 ]. % 0.80/0.96 apply (zenon_L240_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e ]. % 0.80/0.96 exact (zenon_H1e1 zenon_H1e2). % 0.80/0.96 exact (zenon_H1d zenon_H1e). % 0.80/0.96 (* end of lemma zenon_L241_ *) % 0.80/0.96 assert (zenon_L242_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp4)) -> (~(hskp25)) -> (ndr1_0) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp12)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H229 zenon_H9c zenon_H9b zenon_H9a zenon_H1d zenon_H1e1 zenon_H10 zenon_H20a zenon_H20b zenon_H214 zenon_H227 zenon_H4b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H62 | zenon_intro zenon_H22a ]. % 0.80/0.96 apply (zenon_L43_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H6c | zenon_intro zenon_H4c ]. % 0.80/0.96 apply (zenon_L241_); trivial. % 0.80/0.96 exact (zenon_H4b zenon_H4c). % 0.80/0.96 (* end of lemma zenon_L242_ *) % 0.80/0.96 assert (zenon_L243_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a549))) -> (~(c1_1 (a549))) -> (~(c0_1 (a549))) -> (~(hskp21)) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a594))) -> (~(c0_1 (a594))) -> (c2_1 (a594)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp0)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H47 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1 zenon_He2 zenon_H10 zenon_H1e6 zenon_H1e5 zenon_H1e7 zenon_H1cf zenon_H3d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.80/0.96 apply (zenon_L160_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.80/0.96 apply (zenon_L206_); trivial. % 0.80/0.96 exact (zenon_H3d zenon_H3e). % 0.80/0.96 (* end of lemma zenon_L243_ *) % 0.80/0.96 assert (zenon_L244_ : ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (c2_1 (a604)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37)))))) -> (~(c3_1 (a604))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp21)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H22b zenon_H14 zenon_H169 zenon_H12 zenon_H10 zenon_H4b zenon_H1. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H168 | zenon_intro zenon_H22c ]. % 0.80/0.96 apply (zenon_L113_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H4c | zenon_intro zenon_H2 ]. % 0.80/0.96 exact (zenon_H4b zenon_H4c). % 0.80/0.96 exact (zenon_H1 zenon_H2). % 0.80/0.96 (* end of lemma zenon_L244_ *) % 0.80/0.96 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp21)) -> (~(hskp12)) -> (~(c3_1 (a604))) -> (c2_1 (a604)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp0)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hf2 zenon_H180 zenon_H1 zenon_H4b zenon_H12 zenon_H14 zenon_H22b zenon_H3d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/0.96 apply (zenon_L244_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.96 apply (zenon_L71_); trivial. % 0.80/0.96 exact (zenon_H3d zenon_H3e). % 0.80/0.96 (* end of lemma zenon_L245_ *) % 0.80/0.96 assert (zenon_L246_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(c0_1 (a549))) -> (~(c1_1 (a549))) -> (~(c2_1 (a549))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a594)) -> (~(c0_1 (a594))) -> (~(c1_1 (a594))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1f zenon_Hf7 zenon_H180 zenon_H4b zenon_H22b zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1cf zenon_H1 zenon_H1e7 zenon_H1e5 zenon_H1e6 zenon_H3d zenon_H47. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/0.96 apply (zenon_L243_); trivial. % 0.80/0.96 apply (zenon_L245_); trivial. % 0.80/0.96 (* end of lemma zenon_L246_ *) % 0.80/0.96 assert (zenon_L247_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(c0_1 (a549))) -> (~(c1_1 (a549))) -> (~(c2_1 (a549))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp7)) -> (~(hskp22)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (ndr1_0) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H1fe zenon_H24 zenon_Hf7 zenon_H180 zenon_H22b zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1cf zenon_H1 zenon_H3d zenon_H47 zenon_Hb zenon_H3 zenon_Hd zenon_H10 zenon_H9a zenon_H9b zenon_H9c zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H4b zenon_H229. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.96 apply (zenon_L242_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.96 apply (zenon_L7_); trivial. % 0.80/0.96 apply (zenon_L246_); trivial. % 0.80/0.96 (* end of lemma zenon_L247_ *) % 0.80/0.96 assert (zenon_L248_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp13)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(c0_1 (a549))) -> (~(c1_1 (a549))) -> (~(c2_1 (a549))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd2 zenon_H14f zenon_H8a zenon_H8c zenon_H83 zenon_H1dd zenon_H1db zenon_H25 zenon_H2b zenon_H1fe zenon_H24 zenon_Hf7 zenon_H180 zenon_H22b zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1cf zenon_H3d zenon_H47 zenon_Hb zenon_Hd zenon_H9a zenon_H9b zenon_H9c zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H4b zenon_H229 zenon_Hc3 zenon_H7f zenon_H56 zenon_H29 zenon_H54 zenon_H82 zenon_Hd1 zenon_H95. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L247_); trivial. % 0.80/0.97 apply (zenon_L63_); trivial. % 0.80/0.97 apply (zenon_L184_); trivial. % 0.80/0.97 (* end of lemma zenon_L248_ *) % 0.80/0.97 assert (zenon_L249_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1fa zenon_Hf7 zenon_H180 zenon_H3d zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H1cf zenon_H1 zenon_H215 zenon_H3 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/0.97 apply (zenon_L220_); trivial. % 0.80/0.97 apply (zenon_L168_); trivial. % 0.80/0.97 (* end of lemma zenon_L249_ *) % 0.80/0.97 assert (zenon_L250_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp13)) -> (~(hskp22)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1fe zenon_Hf7 zenon_H180 zenon_H3d zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H1cf zenon_H1 zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H25 zenon_H3 zenon_H1e3. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.97 apply (zenon_L203_); trivial. % 0.80/0.97 apply (zenon_L249_); trivial. % 0.80/0.97 (* end of lemma zenon_L250_ *) % 0.80/0.97 assert (zenon_L251_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H95 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1 zenon_H1cf zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H3d zenon_H180 zenon_Hf7 zenon_H1fe. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L250_); trivial. % 0.80/0.97 apply (zenon_L80_); trivial. % 0.80/0.97 (* end of lemma zenon_L251_ *) % 0.80/0.97 assert (zenon_L252_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H14f zenon_H2b zenon_H29 zenon_H98 zenon_H96 zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a zenon_H1fe zenon_Hf7 zenon_H180 zenon_H3d zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H25 zenon_H1e3 zenon_He4 zenon_Hb3 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_H95. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_L251_); trivial. % 0.80/0.97 apply (zenon_L170_); trivial. % 0.80/0.97 (* end of lemma zenon_L252_ *) % 0.80/0.97 assert (zenon_L253_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H95 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1 zenon_H1cf zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H3d zenon_H180 zenon_Hf7 zenon_H1fe. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L250_); trivial. % 0.80/0.97 apply (zenon_L215_); trivial. % 0.80/0.97 (* end of lemma zenon_L253_ *) % 0.80/0.97 assert (zenon_L254_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd5 zenon_H14f zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H1dd zenon_H1db zenon_H29 zenon_H2b zenon_H1fe zenon_Hf7 zenon_H180 zenon_H3d zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H25 zenon_H1e3 zenon_He4 zenon_Hb3 zenon_H95. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_L253_); trivial. % 0.80/0.97 apply (zenon_L184_); trivial. % 0.80/0.97 (* end of lemma zenon_L254_ *) % 0.80/0.97 assert (zenon_L255_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H194 zenon_H146 zenon_H10f zenon_Hd6 zenon_H15e zenon_H1d zenon_Ha5 zenon_H138 zenon_H134 zenon_H7 zenon_H47 zenon_H139 zenon_H131 zenon_H221 zenon_H161 zenon_H160 zenon_Hd7 zenon_H1db zenon_H1d9 zenon_H4b zenon_H4f zenon_H95 zenon_Hf3 zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1cf zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H3d zenon_H180 zenon_Hf7 zenon_H1fe zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H98 zenon_H29 zenon_H2b zenon_H14f zenon_H1dd zenon_Hdd. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_L252_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_L251_); trivial. % 0.80/0.97 apply (zenon_L179_); trivial. % 0.80/0.97 apply (zenon_L254_); trivial. % 0.80/0.97 apply (zenon_L235_); trivial. % 0.80/0.97 (* end of lemma zenon_L255_ *) % 0.80/0.97 assert (zenon_L256_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(c0_1 (a573))) -> (~(c1_1 (a573))) -> (~(c3_1 (a573))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H95 zenon_Hd1 zenon_H82 zenon_H54 zenon_H29 zenon_H56 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H7f zenon_Hc3 zenon_H1e3 zenon_H25 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1 zenon_H1cf zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H3d zenon_H180 zenon_Hf7 zenon_H1fe. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L250_); trivial. % 0.80/0.97 apply (zenon_L63_); trivial. % 0.80/0.97 (* end of lemma zenon_L256_ *) % 0.80/0.97 assert (zenon_L257_ : ((ndr1_0)/\((c1_1 (a551))/\((c3_1 (a551))/\(~(c0_1 (a551)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1fd zenon_H1c1 zenon_Hd6 zenon_H2b zenon_Hc3 zenon_H7f zenon_H56 zenon_H29 zenon_H82 zenon_Hd1 zenon_H95 zenon_He4 zenon_H1e3 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1cf zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H3d zenon_H180 zenon_Hf7 zenon_H1fe zenon_Ha5 zenon_H54 zenon_H41 zenon_H146 zenon_H83 zenon_H8b zenon_H8a zenon_H14f zenon_H10f zenon_H139 zenon_H160 zenon_H194. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_L253_); trivial. % 0.80/0.97 apply (zenon_L237_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_L256_); trivial. % 0.80/0.97 apply (zenon_L156_); trivial. % 0.80/0.97 apply (zenon_L148_); trivial. % 0.80/0.97 apply (zenon_L162_); trivial. % 0.80/0.97 (* end of lemma zenon_L257_ *) % 0.80/0.97 assert (zenon_L258_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(hskp10)) -> (~(hskp14)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1fa zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_Hf3 zenon_Hfa zenon_Hf9 zenon_Hf0 zenon_H4d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.97 apply (zenon_L204_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_L77_); trivial. % 0.80/0.97 (* end of lemma zenon_L258_ *) % 0.80/0.97 assert (zenon_L259_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H14a zenon_H95 zenon_Hf7 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H1db zenon_H1fe. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.97 apply (zenon_L203_); trivial. % 0.80/0.97 apply (zenon_L258_); trivial. % 0.80/0.97 apply (zenon_L80_); trivial. % 0.80/0.97 (* end of lemma zenon_L259_ *) % 0.80/0.97 assert (zenon_L260_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1fa zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H9a zenon_H9b zenon_H9c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.97 apply (zenon_L204_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_L43_); trivial. % 0.80/0.97 (* end of lemma zenon_L260_ *) % 0.80/0.97 assert (zenon_L261_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp13)) -> (~(hskp22)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1fe zenon_H1db zenon_H9c zenon_H9b zenon_H9a zenon_H203 zenon_H202 zenon_H201 zenon_H25 zenon_H3 zenon_H1e3. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.97 apply (zenon_L203_); trivial. % 0.80/0.97 apply (zenon_L260_); trivial. % 0.80/0.97 (* end of lemma zenon_L261_ *) % 0.80/0.97 assert (zenon_L262_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp30)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H47 zenon_H3f zenon_H2e zenon_H30 zenon_H38 zenon_H41 zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H3d. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.80/0.97 apply (zenon_L22_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 exact (zenon_H3d zenon_H3e). % 0.80/0.97 (* end of lemma zenon_L262_ *) % 0.80/0.97 assert (zenon_L263_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H8f zenon_H8b zenon_H83 zenon_H9c zenon_H9b zenon_H9a zenon_H41 zenon_H3d zenon_H38 zenon_H30 zenon_H2e zenon_H201 zenon_H202 zenon_H203 zenon_H47. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.97 apply (zenon_L262_); trivial. % 0.80/0.97 apply (zenon_L49_); trivial. % 0.80/0.97 (* end of lemma zenon_L263_ *) % 0.80/0.97 assert (zenon_L264_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H89 zenon_H8a zenon_H8b zenon_H83 zenon_H9c zenon_H9b zenon_H9a zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H54 zenon_Ha3 zenon_Ha5. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/0.97 apply (zenon_L47_); trivial. % 0.80/0.97 apply (zenon_L263_); trivial. % 0.80/0.97 (* end of lemma zenon_L264_ *) % 0.80/0.97 assert (zenon_L265_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp1)) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hce zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H187. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H10. zenon_intro zenon_Hcf. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hc5. zenon_intro zenon_Hd0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.97 apply (zenon_L61_); trivial. % 0.80/0.97 exact (zenon_H187 zenon_H188). % 0.80/0.97 (* end of lemma zenon_L265_ *) % 0.80/0.97 assert (zenon_L266_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd2 zenon_Hd1 zenon_H213 zenon_H187 zenon_H203 zenon_H202 zenon_H201 zenon_H7f zenon_Hc3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.80/0.97 apply (zenon_L60_); trivial. % 0.80/0.97 apply (zenon_L265_); trivial. % 0.80/0.97 (* end of lemma zenon_L266_ *) % 0.80/0.97 assert (zenon_L267_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd5 zenon_Hd6 zenon_Hd1 zenon_H213 zenon_H187 zenon_H7f zenon_Hc3 zenon_H1fe zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H25 zenon_H1e3 zenon_Ha5 zenon_H54 zenon_H47 zenon_H3d zenon_H41 zenon_H83 zenon_H8b zenon_H8a zenon_H95. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L261_); trivial. % 0.80/0.97 apply (zenon_L264_); trivial. % 0.80/0.97 apply (zenon_L266_); trivial. % 0.80/0.97 (* end of lemma zenon_L267_ *) % 0.80/0.97 assert (zenon_L268_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hdd zenon_Hd6 zenon_Hd1 zenon_H7f zenon_Hc3 zenon_Ha5 zenon_H54 zenon_H47 zenon_H41 zenon_H83 zenon_H8b zenon_H8a zenon_H95 zenon_Hf3 zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_Hd zenon_Hb zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1cf zenon_H172 zenon_H3d zenon_H180 zenon_Hf7 zenon_H24 zenon_H1fe zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H14f. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L222_); trivial. % 0.80/0.97 apply (zenon_L80_); trivial. % 0.80/0.97 apply (zenon_L259_); trivial. % 0.80/0.97 apply (zenon_L267_); trivial. % 0.80/0.97 (* end of lemma zenon_L268_ *) % 0.80/0.97 assert (zenon_L269_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp12)) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp3)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp14)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H14a zenon_H1db zenon_H4b zenon_H214 zenon_H20a zenon_H20b zenon_H146 zenon_H105 zenon_H106 zenon_H104 zenon_H54 zenon_H221 zenon_H203 zenon_H202 zenon_H201 zenon_Hf3 zenon_Hf0 zenon_H4d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.97 apply (zenon_L232_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_L77_); trivial. % 0.80/0.97 (* end of lemma zenon_L269_ *) % 0.80/0.97 assert (zenon_L270_ : ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (~(hskp24)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H22d zenon_H214 zenon_H20b zenon_H20a zenon_H6c zenon_H104 zenon_H106 zenon_H105 zenon_H10 zenon_H125 zenon_H27. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H223 | zenon_intro zenon_H22e ]. % 0.80/0.97 apply (zenon_L240_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H126 | zenon_intro zenon_H28 ]. % 0.80/0.97 apply (zenon_L87_); trivial. % 0.80/0.97 exact (zenon_H27 zenon_H28). % 0.80/0.97 (* end of lemma zenon_L270_ *) % 0.80/0.97 assert (zenon_L271_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(hskp24)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp1)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H12f zenon_H10 zenon_H11c zenon_H11d zenon_H11e zenon_H22d zenon_H214 zenon_H20b zenon_H20a zenon_H104 zenon_H106 zenon_H105 zenon_H27 zenon_H131 zenon_H187. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.80/0.97 apply (zenon_L270_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11b | zenon_intro zenon_H130 ]. % 0.80/0.97 apply (zenon_L86_); trivial. % 0.80/0.97 exact (zenon_H12f zenon_H130). % 0.80/0.97 exact (zenon_H187 zenon_H188). % 0.80/0.97 (* end of lemma zenon_L271_ *) % 0.80/0.97 assert (zenon_L272_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H89 zenon_H8a zenon_H8b zenon_H83 zenon_H9c zenon_H9b zenon_H9a zenon_H41 zenon_H3d zenon_H47 zenon_H201 zenon_H202 zenon_H203 zenon_H131 zenon_H12f zenon_H11e zenon_H11d zenon_H11c zenon_H20a zenon_H20b zenon_H214 zenon_H105 zenon_H106 zenon_H104 zenon_H22d zenon_H187 zenon_H213. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/0.97 apply (zenon_L271_); trivial. % 0.80/0.97 apply (zenon_L263_); trivial. % 0.80/0.97 (* end of lemma zenon_L272_ *) % 0.80/0.97 assert (zenon_L273_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H95 zenon_H8a zenon_H8b zenon_H83 zenon_H9c zenon_H9b zenon_H9a zenon_H41 zenon_H3d zenon_H47 zenon_H201 zenon_H202 zenon_H203 zenon_H20a zenon_H20b zenon_H214 zenon_H22d zenon_H187 zenon_H213 zenon_H7 zenon_H1 zenon_H11c zenon_H11d zenon_H11e zenon_H131 zenon_H12f zenon_H104 zenon_H106 zenon_H105 zenon_H134 zenon_H138. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L91_); trivial. % 0.80/0.97 apply (zenon_L272_); trivial. % 0.80/0.97 (* end of lemma zenon_L273_ *) % 0.80/0.97 assert (zenon_L274_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd5 zenon_H160 zenon_H161 zenon_H95 zenon_H8a zenon_H8b zenon_H83 zenon_H41 zenon_H47 zenon_H201 zenon_H202 zenon_H203 zenon_H20a zenon_H20b zenon_H214 zenon_H22d zenon_H187 zenon_H213 zenon_H7 zenon_H131 zenon_H134 zenon_H138 zenon_H221 zenon_H4b zenon_H54 zenon_H146 zenon_H1db zenon_H14f zenon_H104 zenon_H105 zenon_H106 zenon_H3d zenon_H10f. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.97 apply (zenon_L84_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_L273_); trivial. % 0.80/0.97 apply (zenon_L234_); trivial. % 0.80/0.97 apply (zenon_L230_); trivial. % 0.80/0.97 (* end of lemma zenon_L274_ *) % 0.80/0.97 assert (zenon_L275_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H95 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_Hb3 zenon_He4 zenon_Hd zenon_Hb zenon_H18f zenon_H106 zenon_H105 zenon_H104 zenon_H176 zenon_H174 zenon_H183 zenon_H131 zenon_H12f zenon_H11e zenon_H11d zenon_H11c zenon_H3d zenon_H180 zenon_H24. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L138_); trivial. % 0.80/0.97 apply (zenon_L80_); trivial. % 0.80/0.97 (* end of lemma zenon_L275_ *) % 0.80/0.97 assert (zenon_L276_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp4)) -> (~(hskp25)) -> (ndr1_0) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp1)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H1d zenon_H1e1 zenon_H10 zenon_H20a zenon_H20b zenon_H214 zenon_H227 zenon_H187. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.97 apply (zenon_L241_); trivial. % 0.80/0.97 exact (zenon_H187 zenon_H188). % 0.80/0.97 (* end of lemma zenon_L276_ *) % 0.80/0.97 assert (zenon_L277_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp26)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (c2_1 (a594)) -> (~(c1_1 (a594))) -> (~(c0_1 (a594))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H8b zenon_H1db zenon_H9 zenon_H4d zenon_H1f6 zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H41 zenon_H3d zenon_H38 zenon_H30 zenon_H2e zenon_H10 zenon_H201 zenon_H202 zenon_H203 zenon_H47. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.97 apply (zenon_L262_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.97 apply (zenon_L204_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_L207_); trivial. % 0.80/0.97 (* end of lemma zenon_L277_ *) % 0.80/0.97 assert (zenon_L278_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H89 zenon_H1fe zenon_H24 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_H47 zenon_H3d zenon_H41 zenon_H1f6 zenon_H4d zenon_H1db zenon_H8b zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.97 apply (zenon_L276_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.97 apply (zenon_L277_); trivial. % 0.80/0.97 apply (zenon_L108_); trivial. % 0.80/0.97 (* end of lemma zenon_L278_ *) % 0.80/0.97 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H15e zenon_H174 zenon_H176 zenon_Hf0 zenon_Hf3 zenon_H24 zenon_H15c zenon_Hb zenon_Hd zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H1d zenon_H227 zenon_H203 zenon_H202 zenon_H201 zenon_H8b zenon_H1db zenon_H4d zenon_H1f6 zenon_H41 zenon_H3d zenon_H47 zenon_H1fe zenon_H95. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L109_); trivial. % 0.80/0.97 apply (zenon_L278_); trivial. % 0.80/0.97 apply (zenon_L128_); trivial. % 0.80/0.97 (* end of lemma zenon_L279_ *) % 0.80/0.97 assert (zenon_L280_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a553))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H103 zenon_H10 zenon_H198 zenon_H58 zenon_H199 zenon_H19a. % 0.80/0.97 generalize (zenon_H103 (a553)). zenon_intro zenon_H22f. % 0.80/0.97 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_Hf | zenon_intro zenon_H230 ]. % 0.80/0.97 exact (zenon_Hf zenon_H10). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H19e | zenon_intro zenon_H231 ]. % 0.80/0.97 exact (zenon_H198 zenon_H19e). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H232 | zenon_intro zenon_H19f ]. % 0.80/0.97 generalize (zenon_H58 (a553)). zenon_intro zenon_H233. % 0.80/0.97 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_Hf | zenon_intro zenon_H234 ]. % 0.80/0.97 exact (zenon_Hf zenon_H10). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.80/0.97 exact (zenon_H232 zenon_H236). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H19e | zenon_intro zenon_H1a0 ]. % 0.80/0.97 exact (zenon_H198 zenon_H19e). % 0.80/0.97 exact (zenon_H1a0 zenon_H199). % 0.80/0.97 exact (zenon_H19f zenon_H19a). % 0.80/0.97 (* end of lemma zenon_L280_ *) % 0.80/0.97 assert (zenon_L281_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (~(c2_1 (a553))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H10f zenon_H19a zenon_H199 zenon_H58 zenon_H198 zenon_H10 zenon_H10d zenon_H3d. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H103 | zenon_intro zenon_H110 ]. % 0.80/0.97 apply (zenon_L280_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10e | zenon_intro zenon_H3e ]. % 0.80/0.97 exact (zenon_H10d zenon_H10e). % 0.80/0.97 exact (zenon_H3d zenon_H3e). % 0.80/0.97 (* end of lemma zenon_L281_ *) % 0.80/0.97 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp1)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H92 zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H10f zenon_H19a zenon_H199 zenon_H198 zenon_H10d zenon_H3d zenon_H83 zenon_H187. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/0.97 apply (zenon_L281_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/0.97 apply (zenon_L34_); trivial. % 0.80/0.97 apply (zenon_L48_); trivial. % 0.80/0.97 exact (zenon_H187 zenon_H188). % 0.80/0.97 (* end of lemma zenon_L282_ *) % 0.80/0.97 assert (zenon_L283_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp15)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H89 zenon_H8b zenon_H213 zenon_H187 zenon_H10f zenon_H10d zenon_H19a zenon_H199 zenon_H198 zenon_H83 zenon_H203 zenon_H202 zenon_H201 zenon_H41 zenon_H3d zenon_H47. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.97 apply (zenon_L24_); trivial. % 0.80/0.97 apply (zenon_L282_); trivial. % 0.80/0.97 (* end of lemma zenon_L283_ *) % 0.80/0.97 assert (zenon_L284_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a582))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H146 zenon_Hf9 zenon_Hfa zenon_H43 zenon_H13b zenon_H19a zenon_H199 zenon_H198 zenon_H10 zenon_H54. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.80/0.97 apply (zenon_L96_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.80/0.97 apply (zenon_L141_); trivial. % 0.80/0.97 exact (zenon_H54 zenon_H55). % 0.80/0.97 (* end of lemma zenon_L284_ *) % 0.80/0.97 assert (zenon_L285_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (~(c1_1 (a582))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H146 zenon_Hfa zenon_Hf9 zenon_H62 zenon_H13b zenon_H19a zenon_H199 zenon_H198 zenon_H10 zenon_H54. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.80/0.97 apply (zenon_L150_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.80/0.97 apply (zenon_L141_); trivial. % 0.80/0.97 exact (zenon_H54 zenon_H55). % 0.80/0.97 (* end of lemma zenon_L285_ *) % 0.80/0.97 assert (zenon_L286_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (~(hskp3)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H14a zenon_H1db zenon_H146 zenon_H19a zenon_H199 zenon_H198 zenon_H54. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.80/0.97 apply (zenon_L181_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.80/0.97 apply (zenon_L141_); trivial. % 0.80/0.97 exact (zenon_H54 zenon_H55). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.97 apply (zenon_L284_); trivial. % 0.80/0.97 apply (zenon_L285_); trivial. % 0.80/0.97 (* end of lemma zenon_L286_ *) % 0.80/0.97 assert (zenon_L287_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H58 zenon_H10 zenon_H126 zenon_H199 zenon_H19a zenon_H198. % 0.80/0.97 generalize (zenon_H58 (a553)). zenon_intro zenon_H233. % 0.80/0.97 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_Hf | zenon_intro zenon_H234 ]. % 0.80/0.97 exact (zenon_Hf zenon_H10). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.80/0.97 generalize (zenon_H126 (a553)). zenon_intro zenon_H237. % 0.80/0.97 apply (zenon_imply_s _ _ zenon_H237); [ zenon_intro zenon_Hf | zenon_intro zenon_H238 ]. % 0.80/0.97 exact (zenon_Hf zenon_H10). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H232 | zenon_intro zenon_H19d ]. % 0.80/0.97 exact (zenon_H232 zenon_H236). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ]. % 0.80/0.97 exact (zenon_H1a0 zenon_H199). % 0.80/0.97 exact (zenon_H19f zenon_H19a). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H19e | zenon_intro zenon_H1a0 ]. % 0.80/0.97 exact (zenon_H198 zenon_H19e). % 0.80/0.97 exact (zenon_H1a0 zenon_H199). % 0.80/0.97 (* end of lemma zenon_L287_ *) % 0.80/0.97 assert (zenon_L288_ : (~(hskp27)) -> (hskp27) -> False). % 0.80/0.97 do 0 intro. intros zenon_H239 zenon_H23a. % 0.80/0.97 exact (zenon_H239 zenon_H23a). % 0.80/0.97 (* end of lemma zenon_L288_ *) % 0.80/0.97 assert (zenon_L289_ : ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H10 zenon_H58 zenon_H239 zenon_H9. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H126 | zenon_intro zenon_H23c ]. % 0.80/0.97 apply (zenon_L287_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23a | zenon_intro zenon_Ha ]. % 0.80/0.97 exact (zenon_H239 zenon_H23a). % 0.80/0.97 exact (zenon_H9 zenon_Ha). % 0.80/0.97 (* end of lemma zenon_L289_ *) % 0.80/0.97 assert (zenon_L290_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(hskp27)) -> (~(hskp26)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp1)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H92 zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H239 zenon_H9 zenon_H83 zenon_H187. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/0.97 apply (zenon_L289_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/0.97 apply (zenon_L34_); trivial. % 0.80/0.97 apply (zenon_L48_); trivial. % 0.80/0.97 exact (zenon_H187 zenon_H188). % 0.80/0.97 (* end of lemma zenon_L290_ *) % 0.80/0.97 assert (zenon_L291_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (~(hskp27)) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H9 zenon_H239 zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H38 zenon_H30 zenon_H2e zenon_H10 zenon_H201 zenon_H202 zenon_H203 zenon_H47. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.97 apply (zenon_L262_); trivial. % 0.80/0.97 apply (zenon_L290_); trivial. % 0.80/0.97 (* end of lemma zenon_L291_ *) % 0.80/0.97 assert (zenon_L292_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H140 zenon_H10 zenon_H23d zenon_H23e zenon_H23f. % 0.80/0.97 generalize (zenon_H140 (a615)). zenon_intro zenon_H240. % 0.80/0.97 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_Hf | zenon_intro zenon_H241 ]. % 0.80/0.97 exact (zenon_Hf zenon_H10). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H243 | zenon_intro zenon_H242 ]. % 0.80/0.97 exact (zenon_H23d zenon_H243). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H245 | zenon_intro zenon_H244 ]. % 0.80/0.97 exact (zenon_H245 zenon_H23e). % 0.80/0.97 exact (zenon_H244 zenon_H23f). % 0.80/0.97 (* end of lemma zenon_L292_ *) % 0.80/0.97 assert (zenon_L293_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (c3_1 (a584)) -> (~(c0_1 (a584))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a584))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H146 zenon_H23f zenon_H23e zenon_H23d zenon_H38 zenon_H2e zenon_H2d zenon_H30 zenon_H10 zenon_H54. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.80/0.97 apply (zenon_L292_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.80/0.97 apply (zenon_L29_); trivial. % 0.80/0.97 exact (zenon_H54 zenon_H55). % 0.80/0.97 (* end of lemma zenon_L293_ *) % 0.80/0.97 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp3)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (c3_1 (a584)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H246 zenon_H47 zenon_H54 zenon_H30 zenon_H2e zenon_H38 zenon_H146 zenon_H203 zenon_H202 zenon_H201 zenon_H3d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H10. zenon_intro zenon_H247. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H248. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H23f. zenon_intro zenon_H23d. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.80/0.97 apply (zenon_L293_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 exact (zenon_H3d zenon_H3e). % 0.80/0.97 (* end of lemma zenon_L294_ *) % 0.80/0.97 assert (zenon_L295_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> (~(hskp26)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H249 zenon_H54 zenon_H146 zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H2e zenon_H30 zenon_H38 zenon_H3d zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H9 zenon_H23b zenon_H187 zenon_H213 zenon_H8b. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H239 | zenon_intro zenon_H246 ]. % 0.80/0.97 apply (zenon_L291_); trivial. % 0.80/0.97 apply (zenon_L294_); trivial. % 0.80/0.97 (* end of lemma zenon_L295_ *) % 0.80/0.97 assert (zenon_L296_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1fa zenon_H24 zenon_Hf7 zenon_H4b zenon_H22b zenon_H1cf zenon_H1 zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H38 zenon_H30 zenon_H2e zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H54 zenon_H249. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.97 apply (zenon_L295_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.97 apply (zenon_L262_); trivial. % 0.80/0.97 apply (zenon_L211_); trivial. % 0.80/0.97 apply (zenon_L245_); trivial. % 0.80/0.97 (* end of lemma zenon_L296_ *) % 0.80/0.97 assert (zenon_L297_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H89 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H4b zenon_H22b zenon_H1cf zenon_H1 zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.97 apply (zenon_L276_); trivial. % 0.80/0.97 apply (zenon_L296_); trivial. % 0.80/0.97 (* end of lemma zenon_L297_ *) % 0.80/0.97 assert (zenon_L298_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H95 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H22b zenon_H1cf zenon_H180 zenon_H172 zenon_H1db zenon_H8b zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H7 zenon_H1 zenon_H4f zenon_H4d zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.97 apply (zenon_L186_); trivial. % 0.80/0.97 apply (zenon_L297_); trivial. % 0.80/0.97 (* end of lemma zenon_L298_ *) % 0.80/0.97 assert (zenon_L299_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H162 zenon_H14f zenon_H138 zenon_H8c zenon_H134 zenon_H4b zenon_H4d zenon_H4f zenon_H7 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H1d zenon_H227 zenon_H203 zenon_H202 zenon_H201 zenon_H249 zenon_H54 zenon_H146 zenon_H47 zenon_H3d zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H8b zenon_H1db zenon_H172 zenon_H180 zenon_H1cf zenon_H22b zenon_Hf7 zenon_H24 zenon_H1fe zenon_H95. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_L298_); trivial. % 0.80/0.97 apply (zenon_L286_); trivial. % 0.80/0.97 (* end of lemma zenon_L299_ *) % 0.80/0.97 assert (zenon_L300_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H54 zenon_H146 zenon_H138 zenon_H134 zenon_H105 zenon_H106 zenon_H104 zenon_H12f zenon_H131 zenon_H11e zenon_H11d zenon_H11c zenon_H7 zenon_H213 zenon_H187 zenon_H22d zenon_H214 zenon_H20b zenon_H20a zenon_H203 zenon_H202 zenon_H201 zenon_H47 zenon_H3d zenon_H41 zenon_H9a zenon_H9b zenon_H9c zenon_H83 zenon_H8b zenon_H8a zenon_H95. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.97 apply (zenon_L273_); trivial. % 0.80/0.97 apply (zenon_L286_); trivial. % 0.80/0.97 (* end of lemma zenon_L300_ *) % 0.80/0.97 assert (zenon_L301_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H161 zenon_H221 zenon_H8a zenon_H22d zenon_H131 zenon_H10f zenon_H3d zenon_H95 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H22b zenon_H1cf zenon_H180 zenon_H172 zenon_H1db zenon_H8b zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H7 zenon_H4f zenon_H4b zenon_H134 zenon_H8c zenon_H138 zenon_H14f zenon_H160. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.97 apply (zenon_L84_); trivial. % 0.80/0.97 apply (zenon_L299_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.97 apply (zenon_L84_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.97 apply (zenon_L300_); trivial. % 0.80/0.97 apply (zenon_L230_); trivial. % 0.80/0.97 (* end of lemma zenon_L301_ *) % 0.80/0.97 assert (zenon_L302_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp14)) -> (~(hskp21)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp7)) -> (~(hskp22)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H24 zenon_H180 zenon_H3d zenon_H183 zenon_H174 zenon_H176 zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H4d zenon_H1 zenon_H172 zenon_Hb zenon_H3 zenon_Hd. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.97 apply (zenon_L7_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/0.97 apply (zenon_L114_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.97 apply (zenon_L136_); trivial. % 0.80/0.97 exact (zenon_H3d zenon_H3e). % 0.80/0.97 (* end of lemma zenon_L302_ *) % 0.80/0.97 assert (zenon_L303_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp7)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H246 zenon_H24a zenon_H11e zenon_H11d zenon_H11c zenon_Hb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H10. zenon_intro zenon_H247. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H248. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H23f. zenon_intro zenon_H23d. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H140 | zenon_intro zenon_H24b ]. % 0.80/0.97 apply (zenon_L292_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H11b | zenon_intro zenon_Hc ]. % 0.80/0.97 apply (zenon_L86_); trivial. % 0.80/0.97 exact (zenon_Hb zenon_Hc). % 0.80/0.97 (* end of lemma zenon_L303_ *) % 0.80/0.97 assert (zenon_L304_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> (~(hskp26)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H249 zenon_H24a zenon_Hb zenon_H11e zenon_H11d zenon_H11c zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H2e zenon_H30 zenon_H38 zenon_H3d zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H9 zenon_H23b zenon_H187 zenon_H213 zenon_H8b. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H239 | zenon_intro zenon_H246 ]. % 0.80/0.97 apply (zenon_L291_); trivial. % 0.80/0.97 apply (zenon_L303_); trivial. % 0.80/0.97 (* end of lemma zenon_L304_ *) % 0.80/0.97 assert (zenon_L305_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c2_1 (a604)) -> (~(c3_1 (a604))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(hskp17)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp1)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H92 zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H180 zenon_H14 zenon_H12 zenon_H198 zenon_H199 zenon_H19a zenon_H18f zenon_H12f zenon_H11c zenon_H11d zenon_H11e zenon_H183 zenon_H174 zenon_H176 zenon_H131 zenon_H3d zenon_H83 zenon_H187. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.97 apply (zenon_L217_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H182 | zenon_intro zenon_H190 ]. % 0.80/0.97 apply (zenon_L119_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H103 | zenon_intro zenon_H168 ]. % 0.80/0.97 apply (zenon_L280_); trivial. % 0.80/0.97 apply (zenon_L113_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.97 apply (zenon_L136_); trivial. % 0.80/0.97 exact (zenon_H3d zenon_H3e). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/0.97 apply (zenon_L34_); trivial. % 0.80/0.97 apply (zenon_L48_); trivial. % 0.80/0.97 exact (zenon_H187 zenon_H188). % 0.80/0.97 (* end of lemma zenon_L305_ *) % 0.80/0.97 assert (zenon_L306_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H89 zenon_H24 zenon_H180 zenon_H12f zenon_H131 zenon_H183 zenon_H174 zenon_H176 zenon_H18f zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H11c zenon_H11d zenon_H11e zenon_Hb zenon_H24a zenon_H249. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.98 apply (zenon_L304_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.98 apply (zenon_L262_); trivial. % 0.80/0.98 apply (zenon_L305_); trivial. % 0.80/0.98 (* end of lemma zenon_L306_ *) % 0.80/0.98 assert (zenon_L307_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H89 zenon_H24 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H11c zenon_H11d zenon_H11e zenon_Hb zenon_H24a zenon_H249. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.98 apply (zenon_L304_); trivial. % 0.80/0.98 apply (zenon_L108_); trivial. % 0.80/0.98 (* end of lemma zenon_L307_ *) % 0.80/0.98 assert (zenon_L308_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H95 zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H11c zenon_H11d zenon_H11e zenon_H24a zenon_H249 zenon_Hd zenon_Hb zenon_H153 zenon_H154 zenon_H155 zenon_Ha3 zenon_H15c zenon_H24. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L109_); trivial. % 0.80/0.98 apply (zenon_L307_); trivial. % 0.80/0.98 (* end of lemma zenon_L308_ *) % 0.80/0.98 assert (zenon_L309_ : ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (~(hskp24)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H22d zenon_H214 zenon_H20b zenon_H20a zenon_H6c zenon_H198 zenon_H19a zenon_H199 zenon_H10 zenon_H58 zenon_H27. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H223 | zenon_intro zenon_H22e ]. % 0.80/0.98 apply (zenon_L240_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H126 | zenon_intro zenon_H28 ]. % 0.80/0.98 apply (zenon_L287_); trivial. % 0.80/0.98 exact (zenon_H27 zenon_H28). % 0.80/0.98 (* end of lemma zenon_L309_ *) % 0.80/0.98 assert (zenon_L310_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp1)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H92 zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H22d zenon_H214 zenon_H20b zenon_H20a zenon_H198 zenon_H19a zenon_H199 zenon_H27 zenon_H83 zenon_H187. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.98 apply (zenon_L217_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/0.98 apply (zenon_L309_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/0.98 apply (zenon_L34_); trivial. % 0.80/0.98 apply (zenon_L48_); trivial. % 0.80/0.98 exact (zenon_H187 zenon_H188). % 0.80/0.98 (* end of lemma zenon_L310_ *) % 0.80/0.98 assert (zenon_L311_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp24)) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H8b zenon_H213 zenon_H187 zenon_H22d zenon_H27 zenon_H198 zenon_H19a zenon_H199 zenon_H214 zenon_H20b zenon_H20a zenon_H83 zenon_H41 zenon_H3d zenon_H38 zenon_H30 zenon_H2e zenon_H10 zenon_H201 zenon_H202 zenon_H203 zenon_H47. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.98 apply (zenon_L262_); trivial. % 0.80/0.98 apply (zenon_L310_); trivial. % 0.80/0.98 (* end of lemma zenon_L311_ *) % 0.80/0.98 assert (zenon_L312_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H89 zenon_H8a zenon_H9c zenon_H9b zenon_H9a zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H3d zenon_H41 zenon_H83 zenon_H20a zenon_H20b zenon_H214 zenon_H199 zenon_H19a zenon_H198 zenon_H22d zenon_H187 zenon_H213 zenon_H8b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/0.98 apply (zenon_L311_); trivial. % 0.80/0.98 apply (zenon_L263_); trivial. % 0.80/0.98 (* end of lemma zenon_L312_ *) % 0.80/0.98 assert (zenon_L313_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hd5 zenon_H95 zenon_H8a zenon_H47 zenon_H3d zenon_H41 zenon_H83 zenon_H20a zenon_H20b zenon_H214 zenon_H199 zenon_H19a zenon_H198 zenon_H22d zenon_H187 zenon_H213 zenon_H8b zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1fe. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L261_); trivial. % 0.80/0.98 apply (zenon_L312_); trivial. % 0.80/0.98 (* end of lemma zenon_L313_ *) % 0.80/0.98 assert (zenon_L314_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp21)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H95 zenon_H1fe zenon_H104 zenon_H105 zenon_H106 zenon_H18f zenon_H47 zenon_H41 zenon_H1f6 zenon_H1db zenon_H8b zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_Hd zenon_Hb zenon_H172 zenon_H1 zenon_H4d zenon_H131 zenon_H12f zenon_H11e zenon_H11d zenon_H11c zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180 zenon_H24. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L302_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.98 apply (zenon_L276_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.98 apply (zenon_L277_); trivial. % 0.80/0.98 apply (zenon_L137_); trivial. % 0.80/0.98 (* end of lemma zenon_L314_ *) % 0.80/0.98 assert (zenon_L315_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H15e zenon_H1d zenon_H106 zenon_H105 zenon_H104 zenon_H24 zenon_H15c zenon_Hb zenon_Hd zenon_H249 zenon_H24a zenon_H11e zenon_H11d zenon_H11c zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H3d zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H187 zenon_H213 zenon_H8b zenon_H95. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.98 apply (zenon_L308_); trivial. % 0.80/0.98 apply (zenon_L111_); trivial. % 0.80/0.98 (* end of lemma zenon_L315_ *) % 0.80/0.98 assert (zenon_L316_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H89 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H1cf zenon_H1 zenon_H180 zenon_H172 zenon_H47 zenon_H3d zenon_H41 zenon_H1f6 zenon_H4d zenon_H1db zenon_H8b zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.98 apply (zenon_L276_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.98 apply (zenon_L277_); trivial. % 0.80/0.98 apply (zenon_L213_); trivial. % 0.80/0.98 (* end of lemma zenon_L316_ *) % 0.80/0.98 assert (zenon_L317_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H95 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H1cf zenon_H180 zenon_H172 zenon_H47 zenon_H3d zenon_H41 zenon_H1f6 zenon_H1db zenon_H8b zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H7 zenon_H1 zenon_H4f zenon_H4d zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L186_); trivial. % 0.80/0.98 apply (zenon_L316_); trivial. % 0.80/0.98 (* end of lemma zenon_L317_ *) % 0.80/0.98 assert (zenon_L318_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp12)) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H14a zenon_H1db zenon_H4b zenon_H214 zenon_H20a zenon_H20b zenon_H105 zenon_H106 zenon_H104 zenon_H221 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.98 apply (zenon_L232_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.98 apply (zenon_L217_); trivial. % 0.80/0.98 apply (zenon_L153_); trivial. % 0.80/0.98 (* end of lemma zenon_L318_ *) % 0.80/0.98 assert (zenon_L319_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hd7 zenon_H18d zenon_H18b zenon_Hb3 zenon_H95 zenon_H1fe zenon_H24 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_H47 zenon_H3d zenon_H41 zenon_H1f6 zenon_H4d zenon_H1db zenon_H8b zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H7 zenon_H98 zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138 zenon_Ha5 zenon_H54 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H146 zenon_H83 zenon_H8a zenon_H14f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L105_); trivial. % 0.80/0.98 apply (zenon_L278_); trivial. % 0.80/0.98 apply (zenon_L237_); trivial. % 0.80/0.98 apply (zenon_L126_); trivial. % 0.80/0.98 (* end of lemma zenon_L319_ *) % 0.80/0.98 assert (zenon_L320_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_Hd1 zenon_H7f zenon_Hc3 zenon_H14f zenon_H8a zenon_H83 zenon_H146 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H54 zenon_Ha5 zenon_H138 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H98 zenon_H7 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H1d zenon_H227 zenon_H203 zenon_H202 zenon_H201 zenon_H8b zenon_H1db zenon_H4d zenon_H1f6 zenon_H41 zenon_H3d zenon_H47 zenon_H15c zenon_H24 zenon_H1fe zenon_H95 zenon_Hb3 zenon_H18b zenon_H18d zenon_Hd7. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.98 apply (zenon_L319_); trivial. % 0.80/0.98 apply (zenon_L266_); trivial. % 0.80/0.98 (* end of lemma zenon_L320_ *) % 0.80/0.98 assert (zenon_L321_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H8a zenon_H8b zenon_H83 zenon_H9c zenon_H9b zenon_H9a zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H54 zenon_Ha3 zenon_Ha5. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/0.98 apply (zenon_L47_); trivial. % 0.80/0.98 apply (zenon_L145_); trivial. % 0.80/0.98 (* end of lemma zenon_L321_ *) % 0.80/0.98 assert (zenon_L322_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hd5 zenon_Hd6 zenon_Hd1 zenon_H213 zenon_H187 zenon_H203 zenon_H202 zenon_H201 zenon_H7f zenon_Hc3 zenon_Ha5 zenon_H54 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H83 zenon_H8b zenon_H8a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.98 apply (zenon_L321_); trivial. % 0.80/0.98 apply (zenon_L266_); trivial. % 0.80/0.98 (* end of lemma zenon_L322_ *) % 0.80/0.98 assert (zenon_L323_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp15)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H8b zenon_H213 zenon_H187 zenon_H10f zenon_H10d zenon_H19a zenon_H199 zenon_H198 zenon_H83 zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.98 apply (zenon_L144_); trivial. % 0.80/0.98 apply (zenon_L282_); trivial. % 0.80/0.98 (* end of lemma zenon_L323_ *) % 0.80/0.98 assert (zenon_L324_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (c1_1 (a562)) -> (c2_1 (a562)) -> (c3_1 (a562)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H83 zenon_H198 zenon_H19a zenon_H199 zenon_H126 zenon_H6c zenon_H10 zenon_H6d zenon_H64 zenon_H65. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/0.98 apply (zenon_L287_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/0.98 apply (zenon_L34_); trivial. % 0.80/0.98 apply (zenon_L48_); trivial. % 0.80/0.98 (* end of lemma zenon_L324_ *) % 0.80/0.98 assert (zenon_L325_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(c0_1 (a587))) -> (~(c2_1 (a587))) -> (~(c3_1 (a587))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp1)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H92 zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H199 zenon_H19a zenon_H198 zenon_H83 zenon_H11c zenon_H11d zenon_H11e zenon_H112 zenon_H113 zenon_H114 zenon_H134 zenon_H187. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.98 apply (zenon_L217_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H111 | zenon_intro zenon_H137 ]. % 0.80/0.98 apply (zenon_L85_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11b | zenon_intro zenon_H126 ]. % 0.80/0.98 apply (zenon_L86_); trivial. % 0.80/0.98 apply (zenon_L324_); trivial. % 0.80/0.98 exact (zenon_H187 zenon_H188). % 0.80/0.98 (* end of lemma zenon_L325_ *) % 0.80/0.98 assert (zenon_L326_ : ((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H133 zenon_H8b zenon_H213 zenon_H187 zenon_H11c zenon_H11d zenon_H11e zenon_H83 zenon_H198 zenon_H19a zenon_H199 zenon_H134 zenon_H203 zenon_H202 zenon_H201 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H10. zenon_intro zenon_H135. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H112. zenon_intro zenon_H136. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.98 apply (zenon_L144_); trivial. % 0.80/0.98 apply (zenon_L325_); trivial. % 0.80/0.98 (* end of lemma zenon_L326_ *) % 0.80/0.98 assert (zenon_L327_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp21)) -> (~(hskp22)) -> ((hskp21)\/((hskp22)\/(hskp23))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H138 zenon_H8b zenon_H213 zenon_H187 zenon_H11c zenon_H11d zenon_H11e zenon_H83 zenon_H198 zenon_H19a zenon_H199 zenon_H134 zenon_H203 zenon_H202 zenon_H201 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H1 zenon_H3 zenon_H7. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H5 | zenon_intro zenon_H133 ]. % 0.80/0.98 apply (zenon_L4_); trivial. % 0.80/0.98 apply (zenon_L326_); trivial. % 0.80/0.98 (* end of lemma zenon_L327_ *) % 0.80/0.98 assert (zenon_L328_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H95 zenon_H8a zenon_H9c zenon_H9b zenon_H9a zenon_H47 zenon_H20a zenon_H20b zenon_H214 zenon_H22d zenon_H7 zenon_H1 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H201 zenon_H202 zenon_H203 zenon_H134 zenon_H199 zenon_H19a zenon_H198 zenon_H83 zenon_H11e zenon_H11d zenon_H11c zenon_H187 zenon_H213 zenon_H8b zenon_H138. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L327_); trivial. % 0.80/0.98 apply (zenon_L312_); trivial. % 0.80/0.98 (* end of lemma zenon_L328_ *) % 0.80/0.98 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H162 zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H138 zenon_H8b zenon_H213 zenon_H187 zenon_H83 zenon_H198 zenon_H19a zenon_H199 zenon_H134 zenon_H203 zenon_H202 zenon_H201 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H7 zenon_H22d zenon_H214 zenon_H20b zenon_H20a zenon_H47 zenon_H9a zenon_H9b zenon_H9c zenon_H8a zenon_H95. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L328_); trivial. % 0.80/0.98 apply (zenon_L286_); trivial. % 0.80/0.98 (* end of lemma zenon_L329_ *) % 0.80/0.98 assert (zenon_L330_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hdd zenon_H22d zenon_H8a zenon_H8b zenon_H213 zenon_H187 zenon_H10f zenon_H19a zenon_H199 zenon_H198 zenon_H83 zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H95 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H22b zenon_H1cf zenon_H180 zenon_H172 zenon_H1db zenon_H23b zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H7 zenon_H4f zenon_H4b zenon_H134 zenon_H8c zenon_H138 zenon_H14f zenon_H160. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.98 apply (zenon_L323_); trivial. % 0.80/0.98 apply (zenon_L299_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.98 apply (zenon_L323_); trivial. % 0.80/0.98 apply (zenon_L329_); trivial. % 0.80/0.98 (* end of lemma zenon_L330_ *) % 0.80/0.98 assert (zenon_L331_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H198 zenon_H19a zenon_H199 zenon_H58 zenon_H131 zenon_H176 zenon_H174 zenon_H183 zenon_H11e zenon_H11d zenon_H11c zenon_H10 zenon_H12f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H1da ]. % 0.80/0.98 apply (zenon_L52_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H126 | zenon_intro zenon_He6 ]. % 0.80/0.98 apply (zenon_L287_); trivial. % 0.80/0.98 apply (zenon_L136_); trivial. % 0.80/0.98 (* end of lemma zenon_L331_ *) % 0.80/0.98 assert (zenon_L332_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp1)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H92 zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H198 zenon_H19a zenon_H199 zenon_H131 zenon_H176 zenon_H174 zenon_H183 zenon_H11e zenon_H11d zenon_H11c zenon_H12f zenon_H83 zenon_H187. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/0.98 apply (zenon_L217_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/0.98 apply (zenon_L331_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/0.98 apply (zenon_L34_); trivial. % 0.80/0.98 apply (zenon_L48_); trivial. % 0.80/0.98 exact (zenon_H187 zenon_H188). % 0.80/0.98 (* end of lemma zenon_L332_ *) % 0.80/0.98 assert (zenon_L333_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H89 zenon_H8b zenon_H213 zenon_H187 zenon_H1d9 zenon_H183 zenon_H174 zenon_H176 zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H198 zenon_H19a zenon_H199 zenon_Hac zenon_Hab zenon_Haa zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.98 apply (zenon_L262_); trivial. % 0.80/0.98 apply (zenon_L332_); trivial. % 0.80/0.98 (* end of lemma zenon_L333_ *) % 0.80/0.98 assert (zenon_L334_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (~(hskp7)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H138 zenon_H8b zenon_H213 zenon_H187 zenon_H11c zenon_H11d zenon_H11e zenon_H83 zenon_H198 zenon_H19a zenon_H199 zenon_H134 zenon_H203 zenon_H202 zenon_H201 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H7 zenon_H249 zenon_H24a zenon_Hb zenon_H47 zenon_H23b zenon_H153 zenon_H154 zenon_H155 zenon_Ha3 zenon_H15c zenon_H24 zenon_H95. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L327_); trivial. % 0.80/0.98 apply (zenon_L307_); trivial. % 0.80/0.98 apply (zenon_L286_); trivial. % 0.80/0.98 (* end of lemma zenon_L334_ *) % 0.80/0.98 assert (zenon_L335_ : ((ndr1_0)/\((~(c0_1 (a549)))/\((~(c1_1 (a549)))/\(~(c2_1 (a549)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H24c zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H3d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H10. zenon_intro zenon_H24d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H1b5. zenon_intro zenon_H24e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.80/0.98 apply (zenon_L160_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.80/0.98 apply (zenon_L217_); trivial. % 0.80/0.98 exact (zenon_H3d zenon_H3e). % 0.80/0.98 (* end of lemma zenon_L335_ *) % 0.80/0.98 assert (zenon_L336_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H180 zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H1d5 zenon_H10 zenon_H3d. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/0.98 apply (zenon_L167_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.98 apply (zenon_L173_); trivial. % 0.80/0.98 exact (zenon_H3d zenon_H3e). % 0.80/0.98 (* end of lemma zenon_L336_ *) % 0.80/0.98 assert (zenon_L337_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp0)) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp14)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H14a zenon_H1db zenon_H3d zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H180 zenon_H203 zenon_H202 zenon_H201 zenon_Hf3 zenon_Hf0 zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.98 apply (zenon_L336_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.98 apply (zenon_L217_); trivial. % 0.80/0.98 apply (zenon_L77_); trivial. % 0.80/0.98 (* end of lemma zenon_L337_ *) % 0.80/0.98 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H162 zenon_H14f zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H3d zenon_H180 zenon_H138 zenon_H8c zenon_H134 zenon_H4b zenon_H4d zenon_H4f zenon_H7 zenon_He4 zenon_Hb3 zenon_Hf0 zenon_Hf3 zenon_Hf7 zenon_H95. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L187_); trivial. % 0.80/0.98 apply (zenon_L337_); trivial. % 0.80/0.98 (* end of lemma zenon_L338_ *) % 0.80/0.98 assert (zenon_L339_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (ndr1_0) -> (forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58)))))) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1cf zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H11 zenon_He2 zenon_H1. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 0.80/0.98 apply (zenon_L164_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.80/0.98 exact (zenon_He2 zenon_He3). % 0.80/0.98 exact (zenon_H1 zenon_H2). % 0.80/0.98 (* end of lemma zenon_L339_ *) % 0.80/0.98 assert (zenon_L340_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (~(hskp21)) -> (~(hskp29)) -> (ndr1_0) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp18)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H15c zenon_H155 zenon_H154 zenon_H153 zenon_H1 zenon_He2 zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1cf zenon_Ha3. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H125 | zenon_intro zenon_H15d ]. % 0.80/0.98 apply (zenon_L107_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha4 ]. % 0.80/0.98 apply (zenon_L339_); trivial. % 0.80/0.98 exact (zenon_Ha3 zenon_Ha4). % 0.80/0.98 (* end of lemma zenon_L340_ *) % 0.80/0.98 assert (zenon_L341_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H10 zenon_H153 zenon_H154 zenon_H155 zenon_H1cf zenon_H1 zenon_H1c4 zenon_H1c2 zenon_Ha3 zenon_H15c. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/0.98 apply (zenon_L340_); trivial. % 0.80/0.98 apply (zenon_L73_); trivial. % 0.80/0.98 (* end of lemma zenon_L341_ *) % 0.80/0.98 assert (zenon_L342_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a547))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H14f zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H1d1 zenon_H3d zenon_H180 zenon_H15c zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H1cf zenon_H155 zenon_H154 zenon_H153 zenon_H10 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L341_); trivial. % 0.80/0.98 apply (zenon_L337_); trivial. % 0.80/0.98 (* end of lemma zenon_L342_ *) % 0.80/0.98 assert (zenon_L343_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a547))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_Hd1 zenon_H213 zenon_H187 zenon_H7f zenon_Hc3 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H1cf zenon_H1c4 zenon_H1c2 zenon_H15c zenon_H180 zenon_H3d zenon_H1d1 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H14f. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.98 apply (zenon_L342_); trivial. % 0.80/0.98 apply (zenon_L266_); trivial. % 0.80/0.98 (* end of lemma zenon_L343_ *) % 0.80/0.98 assert (zenon_L344_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a564))) -> (ndr1_0) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H160 zenon_H161 zenon_Hd6 zenon_Hd1 zenon_H213 zenon_H187 zenon_H7f zenon_Hc3 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H1cf zenon_H15c zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H14f zenon_H131 zenon_H183 zenon_H10 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H10f zenon_H3d zenon_H176 zenon_H174 zenon_H180. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.98 apply (zenon_L193_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.98 apply (zenon_L198_); trivial. % 0.80/0.98 apply (zenon_L343_); trivial. % 0.80/0.98 (* end of lemma zenon_L344_ *) % 0.80/0.98 assert (zenon_L345_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(c0_1 (a547))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp18)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp0)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H92 zenon_H180 zenon_H1d1 zenon_H176 zenon_H174 zenon_H15c zenon_H155 zenon_H154 zenon_H153 zenon_H1c4 zenon_H1c2 zenon_Ha3 zenon_H1df zenon_H3d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/0.98 apply (zenon_L167_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.80/0.98 apply (zenon_L209_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.80/0.98 apply (zenon_L190_); trivial. % 0.80/0.98 apply (zenon_L116_); trivial. % 0.80/0.98 exact (zenon_H3d zenon_H3e). % 0.80/0.98 (* end of lemma zenon_L345_ *) % 0.80/0.98 assert (zenon_L346_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H89 zenon_H8b zenon_H180 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_H174 zenon_H176 zenon_H1df zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.98 apply (zenon_L262_); trivial. % 0.80/0.98 apply (zenon_L345_); trivial. % 0.80/0.98 (* end of lemma zenon_L346_ *) % 0.80/0.98 assert (zenon_L347_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H95 zenon_H8b zenon_H180 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_H174 zenon_H176 zenon_H1df zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H41 zenon_H3d zenon_H47 zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H9a zenon_H9b zenon_H9c zenon_H1db zenon_H1fe. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L261_); trivial. % 0.80/0.98 apply (zenon_L346_); trivial. % 0.80/0.98 (* end of lemma zenon_L347_ *) % 0.80/0.98 assert (zenon_L348_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (ndr1_0) -> (~(c1_1 (a564))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hdd zenon_H1fe zenon_H25 zenon_H1e3 zenon_H47 zenon_H41 zenon_H1df zenon_H8b zenon_H95 zenon_H180 zenon_H174 zenon_H176 zenon_H3d zenon_H10f zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H10 zenon_H183 zenon_H131 zenon_H14f zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H15c zenon_H1cf zenon_Hf0 zenon_Hf3 zenon_Hf7 zenon_Hc3 zenon_H7f zenon_H187 zenon_H213 zenon_Hd1 zenon_Hd6 zenon_H161 zenon_H160. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.98 apply (zenon_L344_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.98 apply (zenon_L193_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.98 apply (zenon_L198_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.98 apply (zenon_L347_); trivial. % 0.80/0.98 apply (zenon_L266_); trivial. % 0.80/0.98 (* end of lemma zenon_L348_ *) % 0.80/0.98 assert (zenon_L349_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H54 zenon_H146 zenon_H15c zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H1cf zenon_H155 zenon_H154 zenon_H153 zenon_H10 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L341_); trivial. % 0.80/0.98 apply (zenon_L286_); trivial. % 0.80/0.98 (* end of lemma zenon_L349_ *) % 0.80/0.98 assert (zenon_L350_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (ndr1_0) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1fe zenon_H24 zenon_H172 zenon_H8b zenon_H1db zenon_H4d zenon_H1f6 zenon_H1 zenon_H1cf zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H180 zenon_Hf7 zenon_H10 zenon_H201 zenon_H202 zenon_H203 zenon_H227 zenon_H1d zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.98 apply (zenon_L276_); trivial. % 0.80/0.98 apply (zenon_L214_); trivial. % 0.80/0.98 (* end of lemma zenon_L350_ *) % 0.80/0.98 assert (zenon_L351_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H24f zenon_H10 zenon_H250 zenon_H251 zenon_H252. % 0.80/0.98 generalize (zenon_H24f (a540)). zenon_intro zenon_H253. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H253); [ zenon_intro zenon_Hf | zenon_intro zenon_H254 ]. % 0.80/0.98 exact (zenon_Hf zenon_H10). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H256 | zenon_intro zenon_H255 ]. % 0.80/0.98 exact (zenon_H250 zenon_H256). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 0.80/0.98 exact (zenon_H251 zenon_H258). % 0.80/0.98 exact (zenon_H257 zenon_H252). % 0.80/0.98 (* end of lemma zenon_L351_ *) % 0.80/0.98 assert (zenon_L352_ : (~(hskp19)) -> (hskp19) -> False). % 0.80/0.98 do 0 intro. intros zenon_H259 zenon_H25a. % 0.80/0.98 exact (zenon_H259 zenon_H25a). % 0.80/0.98 (* end of lemma zenon_L352_ *) % 0.80/0.98 assert (zenon_L353_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp9)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H25b zenon_H252 zenon_H251 zenon_H250 zenon_H10 zenon_H259 zenon_H18b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H24f | zenon_intro zenon_H25c ]. % 0.80/0.98 apply (zenon_L351_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25a | zenon_intro zenon_H18c ]. % 0.80/0.98 exact (zenon_H259 zenon_H25a). % 0.80/0.98 exact (zenon_H18b zenon_H18c). % 0.80/0.98 (* end of lemma zenon_L353_ *) % 0.80/0.98 assert (zenon_L354_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H25d zenon_H10 zenon_H25e zenon_H25f zenon_H260. % 0.80/0.98 generalize (zenon_H25d (a576)). zenon_intro zenon_H261. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_Hf | zenon_intro zenon_H262 ]. % 0.80/0.98 exact (zenon_Hf zenon_H10). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.80/0.98 exact (zenon_H25e zenon_H264). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H266 | zenon_intro zenon_H265 ]. % 0.80/0.98 exact (zenon_H25f zenon_H266). % 0.80/0.98 exact (zenon_H265 zenon_H260). % 0.80/0.98 (* end of lemma zenon_L354_ *) % 0.80/0.98 assert (zenon_L355_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp20)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H267 zenon_H260 zenon_H25f zenon_H25e zenon_H10 zenon_H25 zenon_H96. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H25d | zenon_intro zenon_H268 ]. % 0.80/0.98 apply (zenon_L354_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H26 | zenon_intro zenon_H97 ]. % 0.80/0.98 exact (zenon_H25 zenon_H26). % 0.80/0.98 exact (zenon_H96 zenon_H97). % 0.80/0.98 (* end of lemma zenon_L355_ *) % 0.80/0.98 assert (zenon_L356_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hd7 zenon_H18d zenon_H18b zenon_Hb3 zenon_H10 zenon_H25e zenon_H25f zenon_H260 zenon_H25 zenon_H267. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.98 apply (zenon_L355_); trivial. % 0.80/0.98 apply (zenon_L126_); trivial. % 0.80/0.98 (* end of lemma zenon_L356_ *) % 0.80/0.98 assert (zenon_L357_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H18d zenon_H18b zenon_Hb3 zenon_H25 zenon_H267. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.98 apply (zenon_L356_); trivial. % 0.80/0.98 (* end of lemma zenon_L357_ *) % 0.80/0.98 assert (zenon_L358_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp11)) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H26c zenon_Hd7 zenon_H18d zenon_Hb3 zenon_H25 zenon_H267 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.98 apply (zenon_L353_); trivial. % 0.80/0.98 apply (zenon_L357_); trivial. % 0.80/0.98 (* end of lemma zenon_L358_ *) % 0.80/0.98 assert (zenon_L359_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a576))) -> (forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H125 zenon_H10 zenon_H25e zenon_H168 zenon_H25f zenon_H260. % 0.80/0.98 generalize (zenon_H125 (a576)). zenon_intro zenon_H26d. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_Hf | zenon_intro zenon_H26e ]. % 0.80/0.98 exact (zenon_Hf zenon_H10). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H264 | zenon_intro zenon_H26f ]. % 0.80/0.98 exact (zenon_H25e zenon_H264). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H270 | zenon_intro zenon_H265 ]. % 0.80/0.98 generalize (zenon_H168 (a576)). zenon_intro zenon_H271. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_Hf | zenon_intro zenon_H272 ]. % 0.80/0.98 exact (zenon_Hf zenon_H10). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H266 | zenon_intro zenon_H273 ]. % 0.80/0.98 exact (zenon_H25f zenon_H266). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H265 | zenon_intro zenon_H274 ]. % 0.80/0.98 exact (zenon_H265 zenon_H260). % 0.80/0.98 exact (zenon_H274 zenon_H270). % 0.80/0.98 exact (zenon_H265 zenon_H260). % 0.80/0.98 (* end of lemma zenon_L359_ *) % 0.80/0.98 assert (zenon_L360_ : ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53)))))) -> (~(hskp12)) -> (~(hskp21)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H22b zenon_H260 zenon_H25f zenon_H25e zenon_H10 zenon_H125 zenon_H4b zenon_H1. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H168 | zenon_intro zenon_H22c ]. % 0.80/0.98 apply (zenon_L359_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H4c | zenon_intro zenon_H2 ]. % 0.80/0.98 exact (zenon_H4b zenon_H4c). % 0.80/0.98 exact (zenon_H1 zenon_H2). % 0.80/0.98 (* end of lemma zenon_L360_ *) % 0.80/0.98 assert (zenon_L361_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp21)) -> (~(hskp12)) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H131 zenon_H1 zenon_H4b zenon_H25e zenon_H25f zenon_H260 zenon_H22b zenon_H11e zenon_H11d zenon_H11c zenon_H10 zenon_H12f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.80/0.98 apply (zenon_L360_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11b | zenon_intro zenon_H130 ]. % 0.80/0.98 apply (zenon_L86_); trivial. % 0.80/0.98 exact (zenon_H12f zenon_H130). % 0.80/0.98 (* end of lemma zenon_L361_ *) % 0.80/0.98 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> (~(hskp2)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H269 zenon_H14f zenon_H14b zenon_H7f zenon_H1b zenon_H146 zenon_H54 zenon_H105 zenon_H106 zenon_H104 zenon_Hb3 zenon_H148 zenon_H22b zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L361_); trivial. % 0.80/0.98 apply (zenon_L100_); trivial. % 0.80/0.98 (* end of lemma zenon_L362_ *) % 0.80/0.98 assert (zenon_L363_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> (~(hskp2)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H26c zenon_H14f zenon_H14b zenon_H7f zenon_H1b zenon_H146 zenon_H54 zenon_H105 zenon_H106 zenon_H104 zenon_Hb3 zenon_H148 zenon_H22b zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.98 apply (zenon_L353_); trivial. % 0.80/0.98 apply (zenon_L362_); trivial. % 0.80/0.98 (* end of lemma zenon_L363_ *) % 0.80/0.98 assert (zenon_L364_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H8f zenon_H275 zenon_H38 zenon_H30 zenon_H2e zenon_H25e zenon_H25f zenon_H260. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/0.98 apply (zenon_L32_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/0.98 apply (zenon_L68_); trivial. % 0.80/0.98 apply (zenon_L354_); trivial. % 0.80/0.98 (* end of lemma zenon_L364_ *) % 0.80/0.98 assert (zenon_L365_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H89 zenon_H8a zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H54 zenon_Ha3 zenon_Ha5. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/0.98 apply (zenon_L47_); trivial. % 0.80/0.98 apply (zenon_L364_); trivial. % 0.80/0.98 (* end of lemma zenon_L365_ *) % 0.80/0.98 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H269 zenon_H95 zenon_H8a zenon_H275 zenon_H54 zenon_Ha5 zenon_Hd zenon_Hb zenon_H153 zenon_H154 zenon_H155 zenon_Ha3 zenon_H15c zenon_H24. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L109_); trivial. % 0.80/0.98 apply (zenon_L365_); trivial. % 0.80/0.98 (* end of lemma zenon_L366_ *) % 0.80/0.98 assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c3_1 (a573))) -> (~(c1_1 (a573))) -> (~(c0_1 (a573))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H269 zenon_H277 zenon_Hba zenon_Hb9 zenon_Hb8 zenon_H11c zenon_H11d zenon_H11e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H278 ]. % 0.80/0.98 apply (zenon_L58_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H25d | zenon_intro zenon_H11b ]. % 0.80/0.98 apply (zenon_L354_); trivial. % 0.80/0.98 apply (zenon_L86_); trivial. % 0.80/0.98 (* end of lemma zenon_L367_ *) % 0.80/0.98 assert (zenon_L368_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hd2 zenon_H26c zenon_H277 zenon_H11e zenon_H11d zenon_H11c zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.98 apply (zenon_L353_); trivial. % 0.80/0.98 apply (zenon_L367_); trivial. % 0.80/0.98 (* end of lemma zenon_L368_ *) % 0.80/0.98 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H277 zenon_H11e zenon_H11d zenon_H11c zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H24 zenon_H15c zenon_Hb zenon_Hd zenon_Ha5 zenon_H54 zenon_H275 zenon_H8a zenon_H95 zenon_H26c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.98 apply (zenon_L353_); trivial. % 0.80/0.98 apply (zenon_L366_); trivial. % 0.80/0.98 apply (zenon_L368_); trivial. % 0.80/0.98 (* end of lemma zenon_L369_ *) % 0.80/0.98 assert (zenon_L370_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H269 zenon_H95 zenon_H8a zenon_H275 zenon_H54 zenon_Ha3 zenon_Ha5 zenon_Hd zenon_Hb zenon_H18f zenon_H106 zenon_H105 zenon_H104 zenon_H176 zenon_H174 zenon_H183 zenon_H131 zenon_H12f zenon_H11e zenon_H11d zenon_H11c zenon_H3d zenon_H180 zenon_H24. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.98 apply (zenon_L138_); trivial. % 0.80/0.98 apply (zenon_L365_); trivial. % 0.80/0.98 (* end of lemma zenon_L370_ *) % 0.80/0.98 assert (zenon_L371_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H195 zenon_H160 zenon_H161 zenon_H15c zenon_H26c zenon_H95 zenon_H8a zenon_H275 zenon_H54 zenon_Ha5 zenon_Hd zenon_Hb zenon_H18f zenon_H176 zenon_H174 zenon_H183 zenon_H131 zenon_H180 zenon_H24 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H277 zenon_Hd6 zenon_H3d zenon_H10f. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.98 apply (zenon_L84_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.98 apply (zenon_L353_); trivial. % 0.80/0.98 apply (zenon_L370_); trivial. % 0.80/0.98 apply (zenon_L368_); trivial. % 0.80/0.98 apply (zenon_L369_); trivial. % 0.80/0.98 (* end of lemma zenon_L371_ *) % 0.80/0.98 assert (zenon_L372_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H160 zenon_H161 zenon_H15c zenon_H95 zenon_H8a zenon_H275 zenon_H54 zenon_Ha5 zenon_Hd zenon_Hb zenon_H18f zenon_H131 zenon_H180 zenon_H24 zenon_H277 zenon_Hd6 zenon_H3d zenon_H10f zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H267 zenon_Hb3 zenon_H18d zenon_Hd7 zenon_H26c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.98 apply (zenon_L358_); trivial. % 0.80/0.98 apply (zenon_L371_); trivial. % 0.80/0.98 (* end of lemma zenon_L372_ *) % 0.80/0.98 assert (zenon_L373_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a540)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H182 zenon_H10 zenon_H250 zenon_H43 zenon_H252. % 0.80/0.98 generalize (zenon_H182 (a540)). zenon_intro zenon_H279. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H279); [ zenon_intro zenon_Hf | zenon_intro zenon_H27a ]. % 0.80/0.98 exact (zenon_Hf zenon_H10). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H256 | zenon_intro zenon_H27b ]. % 0.80/0.98 exact (zenon_H250 zenon_H256). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H27c | zenon_intro zenon_H257 ]. % 0.80/0.98 generalize (zenon_H43 (a540)). zenon_intro zenon_H27d. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_Hf | zenon_intro zenon_H27e ]. % 0.80/0.98 exact (zenon_Hf zenon_H10). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H280 | zenon_intro zenon_H27f ]. % 0.80/0.98 exact (zenon_H27c zenon_H280). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 0.80/0.98 exact (zenon_H250 zenon_H256). % 0.80/0.98 exact (zenon_H257 zenon_H252). % 0.80/0.98 exact (zenon_H257 zenon_H252). % 0.80/0.98 (* end of lemma zenon_L373_ *) % 0.80/0.98 assert (zenon_L374_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(c2_1 (a549))) -> (~(c1_1 (a549))) -> (~(c0_1 (a549))) -> (c3_1 (a540)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a540))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H189 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H252 zenon_H43 zenon_H250 zenon_H10 zenon_H187. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H2d | zenon_intro zenon_H18a ]. % 0.80/0.98 apply (zenon_L160_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H182 | zenon_intro zenon_H188 ]. % 0.80/0.98 apply (zenon_L373_); trivial. % 0.80/0.98 exact (zenon_H187 zenon_H188). % 0.80/0.98 (* end of lemma zenon_L374_ *) % 0.80/0.98 assert (zenon_L375_ : ((ndr1_0)/\((~(c0_1 (a549)))/\((~(c1_1 (a549)))/\(~(c2_1 (a549)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> (~(c1_1 (a540))) -> (c3_1 (a540)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp0)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24c zenon_H47 zenon_H187 zenon_H250 zenon_H252 zenon_H189 zenon_H3d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H10. zenon_intro zenon_H24d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H1b5. zenon_intro zenon_H24e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.80/0.99 apply (zenon_L160_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.80/0.99 apply (zenon_L374_); trivial. % 0.80/0.99 exact (zenon_H3d zenon_H3e). % 0.80/0.99 (* end of lemma zenon_L375_ *) % 0.80/0.99 assert (zenon_L376_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (~(hskp3)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H14a zenon_H95 zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_Ha5 zenon_Ha3 zenon_H54 zenon_H98 zenon_H96 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H56 zenon_H29 zenon_H83 zenon_H8c zenon_H8a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.99 apply (zenon_L123_); trivial. % 0.80/0.99 apply (zenon_L365_); trivial. % 0.80/0.99 (* end of lemma zenon_L376_ *) % 0.80/0.99 assert (zenon_L377_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H14f zenon_H95 zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_Ha5 zenon_H54 zenon_H98 zenon_H96 zenon_H56 zenon_H29 zenon_H83 zenon_H8c zenon_H8a zenon_H15c zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H1cf zenon_H155 zenon_H154 zenon_H153 zenon_H10 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L341_); trivial. % 0.80/0.99 apply (zenon_L376_); trivial. % 0.80/0.99 (* end of lemma zenon_L377_ *) % 0.80/0.99 assert (zenon_L378_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H18d zenon_H18b zenon_Hb3 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H153 zenon_H154 zenon_H155 zenon_H1cf zenon_H1c4 zenon_H1c2 zenon_Ha3 zenon_H15c zenon_H8a zenon_H8c zenon_H83 zenon_H29 zenon_H56 zenon_H98 zenon_H54 zenon_Ha5 zenon_H275 zenon_H95 zenon_H14f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L377_); trivial. % 0.80/0.99 apply (zenon_L126_); trivial. % 0.80/0.99 (* end of lemma zenon_L378_ *) % 0.80/0.99 assert (zenon_L379_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H277 zenon_H11e zenon_H11d zenon_H11c zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H14f zenon_H95 zenon_H275 zenon_Ha5 zenon_H54 zenon_H98 zenon_H56 zenon_H29 zenon_H83 zenon_H8c zenon_H8a zenon_H15c zenon_H1c2 zenon_H1c4 zenon_H1cf zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7 zenon_Hb3 zenon_H18d zenon_Hd7 zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L378_); trivial. % 0.80/0.99 apply (zenon_L368_); trivial. % 0.80/0.99 (* end of lemma zenon_L379_ *) % 0.80/0.99 assert (zenon_L380_ : ((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> (~(hskp3)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd2 zenon_H281 zenon_H252 zenon_H251 zenon_H250 zenon_H54. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H10. zenon_intro zenon_Hd3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hb8. zenon_intro zenon_Hd4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H282 ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H24f | zenon_intro zenon_H55 ]. % 0.80/0.99 apply (zenon_L351_); trivial. % 0.80/0.99 exact (zenon_H54 zenon_H55). % 0.80/0.99 (* end of lemma zenon_L380_ *) % 0.80/0.99 assert (zenon_L381_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H281 zenon_H54 zenon_H252 zenon_H251 zenon_H250 zenon_H9a zenon_H9b zenon_H9c zenon_H15c zenon_H1c4 zenon_H1c2 zenon_H104 zenon_H105 zenon_H106 zenon_H1df. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_L191_); trivial. % 0.80/0.99 apply (zenon_L380_); trivial. % 0.80/0.99 (* end of lemma zenon_L381_ *) % 0.80/0.99 assert (zenon_L382_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd5 zenon_H160 zenon_H161 zenon_Hd6 zenon_H26c zenon_H277 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H1df zenon_H15c zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H131 zenon_H176 zenon_H174 zenon_H183 zenon_H180 zenon_H104 zenon_H105 zenon_H106 zenon_H3d zenon_H10f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_L84_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_L198_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_L199_); trivial. % 0.80/0.99 apply (zenon_L368_); trivial. % 0.80/0.99 (* end of lemma zenon_L382_ *) % 0.80/0.99 assert (zenon_L383_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_Hdd zenon_H1df zenon_H10f zenon_H3d zenon_H180 zenon_H131 zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_Hf7 zenon_Hf3 zenon_Hf0 zenon_H1cf zenon_H15c zenon_H8a zenon_H8c zenon_H83 zenon_H29 zenon_H56 zenon_H98 zenon_H54 zenon_Ha5 zenon_H275 zenon_H95 zenon_H14f zenon_H277 zenon_Hd6 zenon_H161 zenon_H160 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H267 zenon_Hb3 zenon_H18d zenon_Hd7 zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.99 apply (zenon_L358_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_L84_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_L198_); trivial. % 0.80/0.99 apply (zenon_L379_); trivial. % 0.80/0.99 apply (zenon_L382_); trivial. % 0.80/0.99 (* end of lemma zenon_L383_ *) % 0.80/0.99 assert (zenon_L384_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a551))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c3_1 (a551)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hde zenon_H10 zenon_H1a1 zenon_H62 zenon_H1a3. % 0.80/0.99 generalize (zenon_Hde (a551)). zenon_intro zenon_H283. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H283); [ zenon_intro zenon_Hf | zenon_intro zenon_H284 ]. % 0.80/0.99 exact (zenon_Hf zenon_H10). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H285 ]. % 0.80/0.99 exact (zenon_H1a1 zenon_H1a7). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a8 ]. % 0.80/0.99 apply (zenon_L151_); trivial. % 0.80/0.99 exact (zenon_H1a8 zenon_H1a3). % 0.80/0.99 (* end of lemma zenon_L384_ *) % 0.80/0.99 assert (zenon_L385_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H8f zenon_H8b zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H83 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/0.99 apply (zenon_L144_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/0.99 apply (zenon_L32_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/0.99 apply (zenon_L32_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/0.99 apply (zenon_L384_); trivial. % 0.80/0.99 apply (zenon_L48_); trivial. % 0.80/0.99 apply (zenon_L354_); trivial. % 0.80/0.99 (* end of lemma zenon_L385_ *) % 0.80/0.99 assert (zenon_L386_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H8a zenon_H8b zenon_H275 zenon_H83 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H54 zenon_Ha3 zenon_Ha5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/0.99 apply (zenon_L47_); trivial. % 0.80/0.99 apply (zenon_L385_); trivial. % 0.80/0.99 (* end of lemma zenon_L386_ *) % 0.80/0.99 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H162 zenon_Hd6 zenon_H277 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_Ha5 zenon_H54 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H83 zenon_H275 zenon_H8b zenon_H8a zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L386_); trivial. % 0.80/0.99 apply (zenon_L368_); trivial. % 0.80/0.99 (* end of lemma zenon_L387_ *) % 0.80/0.99 assert (zenon_L388_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H195 zenon_H160 zenon_Hd6 zenon_H277 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_Ha5 zenon_H54 zenon_H41 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H83 zenon_H275 zenon_H8b zenon_H8a zenon_H26c zenon_H3d zenon_H10f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_L84_); trivial. % 0.80/0.99 apply (zenon_L387_); trivial. % 0.80/0.99 (* end of lemma zenon_L388_ *) % 0.80/0.99 assert (zenon_L389_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H194 zenon_H160 zenon_Hd6 zenon_H277 zenon_Ha5 zenon_H54 zenon_H41 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H83 zenon_H275 zenon_H8b zenon_H8a zenon_H3d zenon_H10f zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H10 zenon_H267 zenon_Hb3 zenon_H18d zenon_Hd7 zenon_H26c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.99 apply (zenon_L358_); trivial. % 0.80/0.99 apply (zenon_L388_); trivial. % 0.80/0.99 (* end of lemma zenon_L389_ *) % 0.80/0.99 assert (zenon_L390_ : ((ndr1_0)/\((c1_1 (a551))/\((c3_1 (a551))/\(~(c0_1 (a551)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1fd zenon_H1c1 zenon_H56 zenon_H29 zenon_H26c zenon_Hd7 zenon_H18d zenon_H267 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H10f zenon_H3d zenon_H8a zenon_H8b zenon_H275 zenon_H83 zenon_H41 zenon_H54 zenon_Ha5 zenon_H277 zenon_Hd6 zenon_H160 zenon_H194. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/0.99 apply (zenon_L389_); trivial. % 0.80/0.99 apply (zenon_L162_); trivial. % 0.80/0.99 (* end of lemma zenon_L390_ *) % 0.80/0.99 assert (zenon_L391_ : ((ndr1_0)/\((c3_1 (a546))/\((~(c0_1 (a546)))/\(~(c1_1 (a546)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> (~(hskp5)) -> (~(hskp2)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H286 zenon_H14b zenon_H1b zenon_H7f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.80/0.99 apply (zenon_L218_); trivial. % 0.80/0.99 (* end of lemma zenon_L391_ *) % 0.80/0.99 assert (zenon_L392_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (~(hskp21)) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H221 zenon_H1 zenon_H25e zenon_H25f zenon_H260 zenon_H22b zenon_H20b zenon_H20a zenon_H214 zenon_H10 zenon_H4b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H125 | zenon_intro zenon_H222 ]. % 0.80/0.99 apply (zenon_L360_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H21d | zenon_intro zenon_H4c ]. % 0.80/0.99 apply (zenon_L229_); trivial. % 0.80/0.99 exact (zenon_H4b zenon_H4c). % 0.80/0.99 (* end of lemma zenon_L392_ *) % 0.80/0.99 assert (zenon_L393_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (~(hskp3)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (ndr1_0) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H14f zenon_H95 zenon_H275 zenon_Ha5 zenon_Ha3 zenon_H54 zenon_H98 zenon_H96 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H56 zenon_H29 zenon_H83 zenon_H8c zenon_H8a zenon_H22b zenon_H4b zenon_H260 zenon_H25f zenon_H25e zenon_H10 zenon_H214 zenon_H20a zenon_H20b zenon_H221. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L392_); trivial. % 0.80/0.99 apply (zenon_L376_); trivial. % 0.80/0.99 (* end of lemma zenon_L393_ *) % 0.80/0.99 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H9c zenon_H9b zenon_H9a zenon_H146 zenon_H54 zenon_H105 zenon_H106 zenon_H104 zenon_H214 zenon_H20a zenon_H20b zenon_H221 zenon_H22b zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L361_); trivial. % 0.80/0.99 apply (zenon_L234_); trivial. % 0.80/0.99 (* end of lemma zenon_L394_ *) % 0.80/0.99 assert (zenon_L395_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd5 zenon_H160 zenon_H161 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H131 zenon_H4b zenon_H22b zenon_H221 zenon_H20b zenon_H20a zenon_H214 zenon_H54 zenon_H146 zenon_H1db zenon_H14f zenon_H26c zenon_H104 zenon_H105 zenon_H106 zenon_H3d zenon_H10f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_L84_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L394_); trivial. % 0.80/0.99 apply (zenon_L230_); trivial. % 0.80/0.99 (* end of lemma zenon_L395_ *) % 0.80/0.99 assert (zenon_L396_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H194 zenon_Hdd zenon_H160 zenon_H161 zenon_H131 zenon_H146 zenon_H1db zenon_H3d zenon_H10f zenon_H221 zenon_H20b zenon_H20a zenon_H214 zenon_H4b zenon_H22b zenon_H8a zenon_H8c zenon_H83 zenon_H29 zenon_H56 zenon_Hf0 zenon_Hf3 zenon_H98 zenon_H54 zenon_Ha5 zenon_H275 zenon_H95 zenon_H14f zenon_H281 zenon_Hd6 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H10 zenon_H267 zenon_Hb3 zenon_H18d zenon_Hd7 zenon_H26c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.99 apply (zenon_L358_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L393_); trivial. % 0.80/0.99 apply (zenon_L126_); trivial. % 0.80/0.99 apply (zenon_L380_); trivial. % 0.80/0.99 apply (zenon_L395_); trivial. % 0.80/0.99 (* end of lemma zenon_L396_ *) % 0.80/0.99 assert (zenon_L397_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_Hf0 zenon_H4d zenon_Hf3 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H54 zenon_H105 zenon_H106 zenon_H104 zenon_H214 zenon_H20a zenon_H20b zenon_H221 zenon_H22b zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L361_); trivial. % 0.80/0.99 apply (zenon_L269_); trivial. % 0.80/0.99 (* end of lemma zenon_L397_ *) % 0.80/0.99 assert (zenon_L398_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H194 zenon_Hdd zenon_H10f zenon_H3d zenon_H14f zenon_H1db zenon_Hf0 zenon_Hf3 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H54 zenon_H214 zenon_H20a zenon_H20b zenon_H221 zenon_H22b zenon_H4b zenon_H131 zenon_H161 zenon_H160 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H10 zenon_H267 zenon_Hb3 zenon_H18d zenon_Hd7 zenon_H26c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.99 apply (zenon_L358_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_L84_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L397_); trivial. % 0.80/0.99 apply (zenon_L230_); trivial. % 0.80/0.99 apply (zenon_L395_); trivial. % 0.80/0.99 (* end of lemma zenon_L398_ *) % 0.80/0.99 assert (zenon_L399_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> (~(hskp11)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1b4 zenon_H15c zenon_H95 zenon_H8a zenon_H275 zenon_Ha5 zenon_Hd zenon_Hb zenon_H18f zenon_H180 zenon_H24 zenon_H277 zenon_Hd6 zenon_H26c zenon_Hd7 zenon_H18d zenon_Hb3 zenon_H267 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H160 zenon_H161 zenon_H131 zenon_H22b zenon_H221 zenon_H20b zenon_H20a zenon_H214 zenon_H54 zenon_H146 zenon_H201 zenon_H202 zenon_H203 zenon_Hf3 zenon_Hf0 zenon_H1db zenon_H14f zenon_H3d zenon_H10f zenon_Hdd zenon_H194. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.80/0.99 apply (zenon_L398_); trivial. % 0.80/0.99 apply (zenon_L372_); trivial. % 0.80/0.99 (* end of lemma zenon_L399_ *) % 0.80/0.99 assert (zenon_L400_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp0)) -> (~(hskp15)) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H89 zenon_H275 zenon_H3d zenon_H10d zenon_H198 zenon_H199 zenon_H19a zenon_H10f zenon_H25e zenon_H25f zenon_H260. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/0.99 apply (zenon_L281_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/0.99 apply (zenon_L68_); trivial. % 0.80/0.99 apply (zenon_L354_); trivial. % 0.80/0.99 (* end of lemma zenon_L400_ *) % 0.80/0.99 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H24 zenon_H15c zenon_Ha3 zenon_H4b zenon_H22b zenon_Hb zenon_Hd zenon_H10f zenon_H3d zenon_H10d zenon_H19a zenon_H199 zenon_H198 zenon_H275 zenon_H95. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/0.99 apply (zenon_L7_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H125 | zenon_intro zenon_H15d ]. % 0.80/0.99 apply (zenon_L360_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha4 ]. % 0.80/0.99 apply (zenon_L9_); trivial. % 0.80/0.99 exact (zenon_Ha3 zenon_Ha4). % 0.80/0.99 apply (zenon_L400_); trivial. % 0.80/0.99 apply (zenon_L286_); trivial. % 0.80/0.99 (* end of lemma zenon_L401_ *) % 0.80/0.99 assert (zenon_L402_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H26c zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H54 zenon_H146 zenon_H22b zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L361_); trivial. % 0.80/0.99 apply (zenon_L286_); trivial. % 0.80/0.99 (* end of lemma zenon_L402_ *) % 0.80/0.99 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H162 zenon_H161 zenon_Hd6 zenon_H277 zenon_H24 zenon_H15c zenon_Hb zenon_Hd zenon_Ha5 zenon_H275 zenon_H8a zenon_H95 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H131 zenon_H4b zenon_H22b zenon_H146 zenon_H54 zenon_H19a zenon_H199 zenon_H198 zenon_H1db zenon_H14f zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_L402_); trivial. % 0.80/0.99 apply (zenon_L369_); trivial. % 0.80/0.99 (* end of lemma zenon_L403_ *) % 0.80/0.99 assert (zenon_L404_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H160 zenon_H161 zenon_H277 zenon_Ha5 zenon_H8a zenon_H131 zenon_H26c zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H24 zenon_H15c zenon_H4b zenon_H22b zenon_Hb zenon_Hd zenon_H10f zenon_H3d zenon_H19a zenon_H199 zenon_H198 zenon_H275 zenon_H95 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H281 zenon_Hd6. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L401_); trivial. % 0.80/0.99 apply (zenon_L380_); trivial. % 0.80/0.99 apply (zenon_L403_); trivial. % 0.80/0.99 (* end of lemma zenon_L404_ *) % 0.80/0.99 assert (zenon_L405_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H24 zenon_H180 zenon_H174 zenon_H176 zenon_H10d zenon_H3d zenon_H10f zenon_H4d zenon_H172 zenon_Hb zenon_Hd zenon_H19a zenon_H199 zenon_H198 zenon_H275 zenon_H95. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.99 apply (zenon_L118_); trivial. % 0.80/0.99 apply (zenon_L400_); trivial. % 0.80/0.99 apply (zenon_L286_); trivial. % 0.80/0.99 (* end of lemma zenon_L405_ *) % 0.80/0.99 assert (zenon_L406_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H26c zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H24 zenon_H180 zenon_H174 zenon_H176 zenon_H10d zenon_H3d zenon_H10f zenon_H4d zenon_H172 zenon_Hb zenon_Hd zenon_H19a zenon_H199 zenon_H198 zenon_H275 zenon_H95 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L405_); trivial. % 0.80/0.99 (* end of lemma zenon_L406_ *) % 0.80/0.99 assert (zenon_L407_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp17)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H89 zenon_H275 zenon_H12f zenon_H11c zenon_H11d zenon_H11e zenon_H183 zenon_H174 zenon_H176 zenon_H131 zenon_H199 zenon_H19a zenon_H198 zenon_Haa zenon_Hab zenon_Hac zenon_H1d9 zenon_H25e zenon_H25f zenon_H260. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/0.99 apply (zenon_L331_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/0.99 apply (zenon_L68_); trivial. % 0.80/0.99 apply (zenon_L354_); trivial. % 0.80/0.99 (* end of lemma zenon_L407_ *) % 0.80/0.99 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H24 zenon_H180 zenon_H3d zenon_H183 zenon_H174 zenon_H176 zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H4d zenon_H172 zenon_Hb zenon_Hd zenon_H1d9 zenon_H198 zenon_H19a zenon_H199 zenon_H275 zenon_H95 zenon_H25 zenon_H267. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L355_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.99 apply (zenon_L302_); trivial. % 0.80/0.99 apply (zenon_L407_); trivial. % 0.80/0.99 apply (zenon_L286_); trivial. % 0.80/0.99 (* end of lemma zenon_L408_ *) % 0.80/0.99 assert (zenon_L409_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H26c zenon_Hd7 zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H24 zenon_H180 zenon_H3d zenon_H183 zenon_H174 zenon_H176 zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H4d zenon_H172 zenon_Hb zenon_Hd zenon_H1d9 zenon_H198 zenon_H19a zenon_H199 zenon_H275 zenon_H95 zenon_H25 zenon_H267 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L408_); trivial. % 0.80/0.99 (* end of lemma zenon_L409_ *) % 0.80/0.99 assert (zenon_L410_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H275 zenon_H198 zenon_H19a zenon_H199 zenon_H126 zenon_H38 zenon_H30 zenon_H2e zenon_H10 zenon_H25e zenon_H25f zenon_H260. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/0.99 apply (zenon_L287_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/0.99 apply (zenon_L68_); trivial. % 0.80/0.99 apply (zenon_L354_); trivial. % 0.80/0.99 (* end of lemma zenon_L410_ *) % 0.80/0.99 assert (zenon_L411_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(hskp15)) -> (~(hskp0)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H89 zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H260 zenon_H25f zenon_H25e zenon_H199 zenon_H19a zenon_H198 zenon_H275 zenon_H10f zenon_H176 zenon_H174 zenon_H10d zenon_H3d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H1da ]. % 0.80/0.99 apply (zenon_L52_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H126 | zenon_intro zenon_He6 ]. % 0.80/0.99 apply (zenon_L410_); trivial. % 0.80/0.99 apply (zenon_L117_); trivial. % 0.80/0.99 (* end of lemma zenon_L411_ *) % 0.80/0.99 assert (zenon_L412_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H26c zenon_Hd7 zenon_H95 zenon_H275 zenon_H199 zenon_H19a zenon_H198 zenon_H131 zenon_H12f zenon_H11e zenon_H11d zenon_H11c zenon_H176 zenon_H174 zenon_H183 zenon_H1d9 zenon_H1e3 zenon_H201 zenon_H202 zenon_H203 zenon_H9a zenon_H9b zenon_H9c zenon_H1db zenon_H1fe zenon_H25 zenon_H267 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L355_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.99 apply (zenon_L261_); trivial. % 0.80/0.99 apply (zenon_L407_); trivial. % 0.80/0.99 (* end of lemma zenon_L412_ *) % 0.80/0.99 assert (zenon_L413_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a551))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H58 zenon_H10 zenon_H1a1 zenon_H62 zenon_H1a3 zenon_H1a2. % 0.80/0.99 generalize (zenon_H58 (a551)). zenon_intro zenon_H289. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H289); [ zenon_intro zenon_Hf | zenon_intro zenon_H28a ]. % 0.80/0.99 exact (zenon_Hf zenon_H10). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H28b ]. % 0.80/0.99 exact (zenon_H1a1 zenon_H1a7). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a9 ]. % 0.80/0.99 apply (zenon_L151_); trivial. % 0.80/0.99 exact (zenon_H1a9 zenon_H1a2). % 0.80/0.99 (* end of lemma zenon_L413_ *) % 0.80/0.99 assert (zenon_L414_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (~(c0_1 (a551))) -> (ndr1_0) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H275 zenon_H1a2 zenon_H1a3 zenon_H62 zenon_H1a1 zenon_H10 zenon_H25e zenon_H25f zenon_H260. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/0.99 apply (zenon_L413_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/0.99 apply (zenon_L384_); trivial. % 0.80/0.99 apply (zenon_L354_); trivial. % 0.80/0.99 (* end of lemma zenon_L414_ *) % 0.80/0.99 assert (zenon_L415_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1fa zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H275 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H25e zenon_H25f zenon_H260. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/0.99 apply (zenon_L204_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/0.99 apply (zenon_L217_); trivial. % 0.80/0.99 apply (zenon_L414_); trivial. % 0.80/0.99 (* end of lemma zenon_L415_ *) % 0.80/0.99 assert (zenon_L416_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp13)) -> (~(hskp22)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1fe zenon_H1db zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H25e zenon_H25f zenon_H260 zenon_H275 zenon_H203 zenon_H202 zenon_H201 zenon_H25 zenon_H3 zenon_H1e3. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/0.99 apply (zenon_L203_); trivial. % 0.80/0.99 apply (zenon_L415_); trivial. % 0.80/0.99 (* end of lemma zenon_L416_ *) % 0.80/0.99 assert (zenon_L417_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H95 zenon_H198 zenon_H199 zenon_H19a zenon_H10d zenon_H3d zenon_H10f zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H275 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1db zenon_H1fe. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/0.99 apply (zenon_L416_); trivial. % 0.80/0.99 apply (zenon_L400_); trivial. % 0.80/0.99 (* end of lemma zenon_L417_ *) % 0.80/0.99 assert (zenon_L418_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H26c zenon_H95 zenon_H198 zenon_H199 zenon_H19a zenon_H10d zenon_H3d zenon_H10f zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H275 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1db zenon_H1fe zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L417_); trivial. % 0.80/0.99 (* end of lemma zenon_L418_ *) % 0.80/0.99 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a551))/\((c3_1 (a551))/\(~(c0_1 (a551)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1fd zenon_H1c1 zenon_H95 zenon_H1e3 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1fe zenon_H26c zenon_Hd7 zenon_H18d zenon_H267 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H10f zenon_H3d zenon_H8a zenon_H8b zenon_H275 zenon_H83 zenon_H41 zenon_H54 zenon_Ha5 zenon_H277 zenon_Hd6 zenon_H160 zenon_H194. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/0.99 apply (zenon_L389_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_L418_); trivial. % 0.80/0.99 apply (zenon_L387_); trivial. % 0.80/0.99 apply (zenon_L388_); trivial. % 0.80/0.99 (* end of lemma zenon_L419_ *) % 0.80/0.99 assert (zenon_L420_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H54 zenon_H146 zenon_H22b zenon_H4b zenon_H214 zenon_H20a zenon_H20b zenon_H221. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L392_); trivial. % 0.80/0.99 apply (zenon_L286_); trivial. % 0.80/0.99 (* end of lemma zenon_L420_ *) % 0.80/0.99 assert (zenon_L421_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H26c zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H54 zenon_H146 zenon_H22b zenon_H4b zenon_H214 zenon_H20a zenon_H20b zenon_H221 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L420_); trivial. % 0.80/0.99 (* end of lemma zenon_L421_ *) % 0.80/0.99 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H162 zenon_H161 zenon_Hd6 zenon_H26c zenon_H277 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H1cf zenon_H15c zenon_H146 zenon_H54 zenon_H19a zenon_H199 zenon_H198 zenon_H1db zenon_H14f zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H131 zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_L198_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_L349_); trivial. % 0.80/0.99 apply (zenon_L368_); trivial. % 0.80/0.99 (* end of lemma zenon_L422_ *) % 0.80/0.99 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a564))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd5 zenon_H160 zenon_H161 zenon_Hd6 zenon_H26c zenon_H277 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H1fe zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H25 zenon_H1e3 zenon_H47 zenon_H41 zenon_H1df zenon_H15c zenon_H8b zenon_H95 zenon_H131 zenon_H183 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H10f zenon_H3d zenon_H176 zenon_H174 zenon_H180. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_L193_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_L198_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_L347_); trivial. % 0.80/0.99 apply (zenon_L368_); trivial. % 0.80/0.99 (* end of lemma zenon_L423_ *) % 0.80/0.99 assert (zenon_L424_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H54 zenon_H105 zenon_H106 zenon_H104 zenon_H214 zenon_H20a zenon_H20b zenon_H221 zenon_H22b zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L361_); trivial. % 0.80/0.99 apply (zenon_L318_); trivial. % 0.80/0.99 (* end of lemma zenon_L424_ *) % 0.80/0.99 assert (zenon_L425_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H162 zenon_H161 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H131 zenon_H4b zenon_H22b zenon_H221 zenon_H20b zenon_H20a zenon_H214 zenon_H104 zenon_H106 zenon_H105 zenon_H54 zenon_H146 zenon_H201 zenon_H202 zenon_H203 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1db zenon_H14f zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L424_); trivial. % 0.80/0.99 apply (zenon_L230_); trivial. % 0.80/0.99 (* end of lemma zenon_L425_ *) % 0.80/0.99 assert (zenon_L426_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1df zenon_H1a3 zenon_H1a1 zenon_Hde zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H153 zenon_H154 zenon_H155 zenon_H15c zenon_H10 zenon_H104 zenon_H105 zenon_H106. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.80/0.99 apply (zenon_L384_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.80/0.99 apply (zenon_L190_); trivial. % 0.80/0.99 apply (zenon_L82_); trivial. % 0.80/0.99 (* end of lemma zenon_L426_ *) % 0.80/0.99 assert (zenon_L427_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp0)) -> (c1_1 (a551)) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c0_1 (a547))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp18)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H269 zenon_H275 zenon_H3d zenon_H1a2 zenon_H174 zenon_H176 zenon_H1d1 zenon_H180 zenon_H106 zenon_H105 zenon_H104 zenon_H15c zenon_H155 zenon_H154 zenon_H153 zenon_H1c4 zenon_H1c2 zenon_Ha3 zenon_H1a1 zenon_H1a3 zenon_H1df. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/0.99 apply (zenon_L167_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.80/0.99 apply (zenon_L413_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.80/0.99 apply (zenon_L190_); trivial. % 0.80/0.99 apply (zenon_L116_); trivial. % 0.80/0.99 exact (zenon_H3d zenon_H3e). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/0.99 apply (zenon_L426_); trivial. % 0.80/0.99 apply (zenon_L354_); trivial. % 0.80/0.99 (* end of lemma zenon_L427_ *) % 0.80/0.99 assert (zenon_L428_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a564))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H195 zenon_H160 zenon_H161 zenon_Hd6 zenon_H277 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H15c zenon_H1df zenon_H275 zenon_H26c zenon_H131 zenon_H183 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H10f zenon_H3d zenon_H176 zenon_H174 zenon_H180. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/0.99 apply (zenon_L193_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_L198_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_L427_); trivial. % 0.80/0.99 apply (zenon_L368_); trivial. % 0.80/0.99 (* end of lemma zenon_L428_ *) % 0.80/0.99 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H180 zenon_H3d zenon_H10f zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H131 zenon_H26c zenon_H95 zenon_H8b zenon_H15c zenon_H1df zenon_H41 zenon_H47 zenon_H1e3 zenon_H201 zenon_H202 zenon_H203 zenon_H275 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1db zenon_H1fe zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H277 zenon_Hd6 zenon_H161 zenon_H160. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L193_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_L198_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.00 apply (zenon_L353_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L416_); trivial. % 0.80/1.00 apply (zenon_L346_); trivial. % 0.80/1.00 apply (zenon_L368_); trivial. % 0.80/1.00 apply (zenon_L428_); trivial. % 0.80/1.00 (* end of lemma zenon_L429_ *) % 0.80/1.00 assert (zenon_L430_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H162 zenon_H161 zenon_H221 zenon_H20b zenon_H20a zenon_H214 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H131 zenon_H4b zenon_H22b zenon_H146 zenon_H54 zenon_H19a zenon_H199 zenon_H198 zenon_H1db zenon_H14f zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_L402_); trivial. % 0.80/1.00 apply (zenon_L230_); trivial. % 0.80/1.00 (* end of lemma zenon_L430_ *) % 0.80/1.00 assert (zenon_L431_ : ((ndr1_0)/\((c1_1 (a551))/\((c3_1 (a551))/\(~(c0_1 (a551)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1fd zenon_H1c1 zenon_H213 zenon_H187 zenon_H83 zenon_H194 zenon_H160 zenon_H161 zenon_H131 zenon_H22b zenon_H221 zenon_H20b zenon_H20a zenon_H214 zenon_H54 zenon_H146 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H14f zenon_H3d zenon_H10f zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H267 zenon_H18d zenon_Hd7 zenon_H26c zenon_Hd6 zenon_H277 zenon_H1fe zenon_H275 zenon_H1e3 zenon_H47 zenon_H41 zenon_H1df zenon_H15c zenon_H8b zenon_H95 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H180 zenon_H1b4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/1.00 apply (zenon_L358_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L84_); trivial. % 0.80/1.00 apply (zenon_L425_); trivial. % 0.80/1.00 apply (zenon_L429_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L323_); trivial. % 0.80/1.00 apply (zenon_L430_); trivial. % 0.80/1.00 apply (zenon_L429_); trivial. % 0.80/1.00 (* end of lemma zenon_L431_ *) % 0.80/1.00 assert (zenon_L432_ : (forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78)))))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H218 zenon_H10 zenon_H28c zenon_H28d zenon_H28e. % 0.80/1.00 generalize (zenon_H218 (a539)). zenon_intro zenon_H28f. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H28f); [ zenon_intro zenon_Hf | zenon_intro zenon_H290 ]. % 0.80/1.00 exact (zenon_Hf zenon_H10). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H292 | zenon_intro zenon_H291 ]. % 0.80/1.00 exact (zenon_H28c zenon_H292). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H294 | zenon_intro zenon_H293 ]. % 0.80/1.00 exact (zenon_H28d zenon_H294). % 0.80/1.00 exact (zenon_H293 zenon_H28e). % 0.80/1.00 (* end of lemma zenon_L432_ *) % 0.80/1.00 assert (zenon_L433_ : ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp22)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H10 zenon_H1 zenon_H3. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H218 | zenon_intro zenon_H217 ]. % 0.80/1.00 apply (zenon_L432_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 0.80/1.00 exact (zenon_H1 zenon_H2). % 0.80/1.00 exact (zenon_H3 zenon_H4). % 0.80/1.00 (* end of lemma zenon_L433_ *) % 0.80/1.00 assert (zenon_L434_ : ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c3_1 (a562)) -> (c2_1 (a562)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> False). % 0.80/1.00 do 0 intro. intros zenon_H295 zenon_H65 zenon_H64 zenon_H62 zenon_H28e zenon_H28d zenon_H28c zenon_H10. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H218 | zenon_intro zenon_He6 ]. % 0.80/1.00 apply (zenon_L432_); trivial. % 0.80/1.00 apply (zenon_L209_); trivial. % 0.80/1.00 (* end of lemma zenon_L434_ *) % 0.80/1.00 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H92 zenon_H83 zenon_H5b zenon_H5a zenon_H59 zenon_H28c zenon_H28d zenon_H28e zenon_H295. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/1.00 apply (zenon_L32_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/1.00 apply (zenon_L434_); trivial. % 0.80/1.00 apply (zenon_L48_); trivial. % 0.80/1.00 (* end of lemma zenon_L435_ *) % 0.80/1.00 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H8f zenon_H8b zenon_H83 zenon_H28c zenon_H28d zenon_H28e zenon_H295 zenon_H41 zenon_H3d zenon_H38 zenon_H30 zenon_H2e zenon_H47. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/1.00 apply (zenon_L24_); trivial. % 0.80/1.00 apply (zenon_L435_); trivial. % 0.80/1.00 (* end of lemma zenon_L436_ *) % 0.80/1.00 assert (zenon_L437_ : ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> False). % 0.80/1.00 do 0 intro. intros zenon_H295 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H1d5 zenon_H28e zenon_H28d zenon_H28c zenon_H10. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H218 | zenon_intro zenon_He6 ]. % 0.80/1.00 apply (zenon_L432_); trivial. % 0.80/1.00 apply (zenon_L173_); trivial. % 0.80/1.00 (* end of lemma zenon_L437_ *) % 0.80/1.00 assert (zenon_L438_ : ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (~(c1_1 (a582))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> False). % 0.80/1.00 do 0 intro. intros zenon_H295 zenon_Hf9 zenon_Hfa zenon_H13b zenon_H43 zenon_H28e zenon_H28d zenon_H28c zenon_H10. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H218 | zenon_intro zenon_He6 ]. % 0.80/1.00 apply (zenon_L432_); trivial. % 0.80/1.00 apply (zenon_L175_); trivial. % 0.80/1.00 (* end of lemma zenon_L438_ *) % 0.80/1.00 assert (zenon_L439_ : ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> False). % 0.80/1.00 do 0 intro. intros zenon_H295 zenon_Hfa zenon_Hf9 zenon_H62 zenon_H28e zenon_H28d zenon_H28c zenon_H10. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H218 | zenon_intro zenon_He6 ]. % 0.80/1.00 apply (zenon_L432_); trivial. % 0.80/1.00 apply (zenon_L76_); trivial. % 0.80/1.00 (* end of lemma zenon_L439_ *) % 0.80/1.00 assert (zenon_L440_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H14a zenon_H1db zenon_H295 zenon_H28e zenon_H28d zenon_H28c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/1.00 apply (zenon_L437_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/1.00 apply (zenon_L438_); trivial. % 0.80/1.00 apply (zenon_L439_); trivial. % 0.80/1.00 (* end of lemma zenon_L440_ *) % 0.80/1.00 assert (zenon_L441_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H162 zenon_H14f zenon_H1db zenon_H295 zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H139 zenon_H29 zenon_H3d zenon_H47 zenon_H95. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_L93_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L441_ *) % 0.80/1.00 assert (zenon_L442_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H194 zenon_H160 zenon_H139 zenon_H10f zenon_H95 zenon_H8a zenon_H8b zenon_H83 zenon_H295 zenon_H41 zenon_H3d zenon_H47 zenon_H29 zenon_H2b zenon_H10 zenon_H28c zenon_H28d zenon_H28e zenon_H215 zenon_H1db zenon_H14f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/1.00 apply (zenon_L17_); trivial. % 0.80/1.00 apply (zenon_L436_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L84_); trivial. % 0.80/1.00 apply (zenon_L441_); trivial. % 0.80/1.00 (* end of lemma zenon_L442_ *) % 0.80/1.00 assert (zenon_L443_ : ((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hf2 zenon_H295 zenon_H28e zenon_H28d zenon_H28c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H218 | zenon_intro zenon_He6 ]. % 0.80/1.00 apply (zenon_L432_); trivial. % 0.80/1.00 apply (zenon_L71_); trivial. % 0.80/1.00 (* end of lemma zenon_L443_ *) % 0.80/1.00 assert (zenon_L444_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H95 zenon_Hf7 zenon_H295 zenon_Hb3 zenon_He4 zenon_H10 zenon_H28c zenon_H28d zenon_H28e zenon_H1 zenon_H215. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/1.00 apply (zenon_L70_); trivial. % 0.80/1.00 apply (zenon_L443_); trivial. % 0.80/1.00 (* end of lemma zenon_L444_ *) % 0.80/1.00 assert (zenon_L445_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H14f zenon_H1db zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H10 zenon_He4 zenon_Hb3 zenon_H295 zenon_Hf7 zenon_H95. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L444_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L445_ *) % 0.80/1.00 assert (zenon_L446_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H95 zenon_H24 zenon_H20 zenon_H1d zenon_H1b zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H11c zenon_H11d zenon_H11e zenon_Hb zenon_H24a zenon_H249 zenon_H10 zenon_H28c zenon_H28d zenon_H28e zenon_H1 zenon_H215. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L304_); trivial. % 0.80/1.00 apply (zenon_L12_); trivial. % 0.80/1.00 (* end of lemma zenon_L446_ *) % 0.80/1.00 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (~(hskp7)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H162 zenon_H14f zenon_H1db zenon_H295 zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H249 zenon_H24a zenon_Hb zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H3d zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H187 zenon_H213 zenon_H8b zenon_H1b zenon_H1d zenon_H20 zenon_H24 zenon_H95. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L446_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L447_ *) % 0.80/1.00 assert (zenon_L448_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a562)) -> (c2_1 (a562)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a553))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1df zenon_H65 zenon_H64 zenon_He6 zenon_H1d zenon_H1b zenon_H1c2 zenon_H1c4 zenon_H20 zenon_H10 zenon_H198 zenon_H58 zenon_H199 zenon_H19a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.80/1.00 apply (zenon_L209_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.80/1.00 apply (zenon_L165_); trivial. % 0.80/1.00 apply (zenon_L280_); trivial. % 0.80/1.00 (* end of lemma zenon_L448_ *) % 0.80/1.00 assert (zenon_L449_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(c0_1 (a547))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp1)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H92 zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H180 zenon_H1d1 zenon_H19a zenon_H199 zenon_H198 zenon_H20 zenon_H1c4 zenon_H1c2 zenon_H1b zenon_H1d zenon_H1df zenon_H3d zenon_H83 zenon_H187. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.80/1.00 apply (zenon_L217_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/1.00 apply (zenon_L167_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/1.00 apply (zenon_L448_); trivial. % 0.80/1.00 exact (zenon_H3d zenon_H3e). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.80/1.00 apply (zenon_L34_); trivial. % 0.80/1.00 apply (zenon_L48_); trivial. % 0.80/1.00 exact (zenon_H187 zenon_H188). % 0.80/1.00 (* end of lemma zenon_L449_ *) % 0.80/1.00 assert (zenon_L450_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H8f zenon_H8b zenon_H83 zenon_H28c zenon_H28d zenon_H28e zenon_H295 zenon_H41 zenon_H3d zenon_H38 zenon_H30 zenon_H2e zenon_H201 zenon_H202 zenon_H203 zenon_H47. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/1.00 apply (zenon_L262_); trivial. % 0.80/1.00 apply (zenon_L435_); trivial. % 0.80/1.00 (* end of lemma zenon_L450_ *) % 0.80/1.00 assert (zenon_L451_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H95 zenon_H8a zenon_H295 zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H3d zenon_H41 zenon_H83 zenon_H20a zenon_H20b zenon_H214 zenon_H199 zenon_H19a zenon_H198 zenon_H22d zenon_H187 zenon_H213 zenon_H8b zenon_H10 zenon_H28c zenon_H28d zenon_H28e zenon_H1 zenon_H215. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/1.00 apply (zenon_L311_); trivial. % 0.80/1.00 apply (zenon_L450_); trivial. % 0.80/1.00 (* end of lemma zenon_L451_ *) % 0.80/1.00 assert (zenon_L452_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H95 zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H198 zenon_H199 zenon_H19a zenon_H10d zenon_H3d zenon_H10f zenon_H10 zenon_H28c zenon_H28d zenon_H28e zenon_H1 zenon_H215. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_L400_); trivial. % 0.80/1.00 (* end of lemma zenon_L452_ *) % 0.80/1.00 assert (zenon_L453_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H295 zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H10f zenon_H3d zenon_H10d zenon_H19a zenon_H199 zenon_H198 zenon_H275 zenon_H95. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L452_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L453_ *) % 0.80/1.00 assert (zenon_L454_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H26c zenon_H14f zenon_H1db zenon_H295 zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H10f zenon_H3d zenon_H10d zenon_H19a zenon_H199 zenon_H198 zenon_H275 zenon_H95 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.00 apply (zenon_L353_); trivial. % 0.80/1.00 apply (zenon_L453_); trivial. % 0.80/1.00 (* end of lemma zenon_L454_ *) % 0.80/1.00 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H28c zenon_H28d zenon_H28e zenon_H295 zenon_H22b zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L361_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L455_ *) % 0.80/1.00 assert (zenon_L456_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H26c zenon_H14f zenon_H1db zenon_H28c zenon_H28d zenon_H28e zenon_H295 zenon_H22b zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H10 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.00 apply (zenon_L353_); trivial. % 0.80/1.00 apply (zenon_L455_); trivial. % 0.80/1.00 (* end of lemma zenon_L456_ *) % 0.80/1.00 assert (zenon_L457_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H249 zenon_H24a zenon_Hb zenon_H11e zenon_H11d zenon_H11c zenon_H23b zenon_H9 zenon_H198 zenon_H19a zenon_H199 zenon_H10 zenon_H2e zenon_H30 zenon_H38 zenon_H25e zenon_H25f zenon_H260 zenon_H275. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H239 | zenon_intro zenon_H246 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/1.00 apply (zenon_L289_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/1.00 apply (zenon_L68_); trivial. % 0.80/1.00 apply (zenon_L354_); trivial. % 0.80/1.00 apply (zenon_L303_); trivial. % 0.80/1.00 (* end of lemma zenon_L457_ *) % 0.80/1.00 assert (zenon_L458_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H89 zenon_H24 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H11c zenon_H11d zenon_H11e zenon_Hb zenon_H24a zenon_H249. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L457_); trivial. % 0.80/1.00 apply (zenon_L108_); trivial. % 0.80/1.00 (* end of lemma zenon_L458_ *) % 0.80/1.00 assert (zenon_L459_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H95 zenon_H24 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H11c zenon_H11d zenon_H11e zenon_Hb zenon_H24a zenon_H249 zenon_H10 zenon_H28c zenon_H28d zenon_H28e zenon_H1 zenon_H215. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_L458_); trivial. % 0.80/1.00 (* end of lemma zenon_L459_ *) % 0.80/1.00 assert (zenon_L460_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H295 zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H249 zenon_H24a zenon_Hb zenon_H11e zenon_H11d zenon_H11c zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H275 zenon_H153 zenon_H154 zenon_H155 zenon_Ha3 zenon_H15c zenon_H24 zenon_H95. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L460_ *) % 0.80/1.00 assert (zenon_L461_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H277 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H95 zenon_H24 zenon_H15c zenon_H275 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H11c zenon_H11d zenon_H11e zenon_Hb zenon_H24a zenon_H249 zenon_H28c zenon_H28d zenon_H28e zenon_H215 zenon_H295 zenon_H1db zenon_H14f zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.00 apply (zenon_L353_); trivial. % 0.80/1.00 apply (zenon_L460_); trivial. % 0.80/1.00 apply (zenon_L368_); trivial. % 0.80/1.00 (* end of lemma zenon_L461_ *) % 0.80/1.00 assert (zenon_L462_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H162 zenon_H161 zenon_Hd6 zenon_H277 zenon_H95 zenon_H24 zenon_H15c zenon_H275 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_Hb zenon_H24a zenon_H249 zenon_H215 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H131 zenon_H4b zenon_H22b zenon_H295 zenon_H28e zenon_H28d zenon_H28c zenon_H1db zenon_H14f zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_L456_); trivial. % 0.80/1.00 apply (zenon_L461_); trivial. % 0.80/1.00 (* end of lemma zenon_L462_ *) % 0.80/1.00 assert (zenon_L463_ : ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> False). % 0.80/1.00 do 0 intro. intros zenon_H295 zenon_H174 zenon_H176 zenon_H10d zenon_H3d zenon_H10f zenon_H28e zenon_H28d zenon_H28c zenon_H10. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H218 | zenon_intro zenon_He6 ]. % 0.80/1.00 apply (zenon_L432_); trivial. % 0.80/1.00 apply (zenon_L117_); trivial. % 0.80/1.00 (* end of lemma zenon_L463_ *) % 0.80/1.00 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_H1db zenon_H295 zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H1d9 zenon_H183 zenon_H174 zenon_H176 zenon_H11c zenon_H11d zenon_H11e zenon_H12f zenon_H131 zenon_H198 zenon_H19a zenon_H199 zenon_H275 zenon_H95 zenon_H25 zenon_H267. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_L355_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_L407_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L464_ *) % 0.80/1.00 assert (zenon_L465_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp17)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H95 zenon_H24 zenon_H180 zenon_H3d zenon_H12f zenon_H131 zenon_H183 zenon_H174 zenon_H176 zenon_H104 zenon_H105 zenon_H106 zenon_H18f zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H11c zenon_H11d zenon_H11e zenon_Hb zenon_H24a zenon_H249 zenon_H10 zenon_H28c zenon_H28d zenon_H28e zenon_H1 zenon_H215. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L457_); trivial. % 0.80/1.00 apply (zenon_L137_); trivial. % 0.80/1.00 (* end of lemma zenon_L465_ *) % 0.80/1.00 assert (zenon_L466_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H269 zenon_H14f zenon_H1db zenon_H295 zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H249 zenon_H24a zenon_Hb zenon_H11e zenon_H11d zenon_H11c zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H275 zenon_H18f zenon_H106 zenon_H105 zenon_H104 zenon_H176 zenon_H174 zenon_H183 zenon_H131 zenon_H12f zenon_H3d zenon_H180 zenon_H24 zenon_H95. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L465_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L466_ *) % 0.80/1.00 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H180 zenon_H18f zenon_H295 zenon_H3d zenon_H10f zenon_H28e zenon_H28d zenon_H28c zenon_H26c zenon_Hd7 zenon_H14f zenon_H1db zenon_H215 zenon_H1d9 zenon_H131 zenon_H198 zenon_H19a zenon_H199 zenon_H275 zenon_H95 zenon_H267 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H249 zenon_H24a zenon_Hb zenon_H23b zenon_H15c zenon_H24 zenon_H277 zenon_Hd6 zenon_H161 zenon_H160. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L463_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.00 apply (zenon_L353_); trivial. % 0.80/1.00 apply (zenon_L464_); trivial. % 0.80/1.00 apply (zenon_L461_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L84_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.00 apply (zenon_L353_); trivial. % 0.80/1.00 apply (zenon_L466_); trivial. % 0.80/1.00 apply (zenon_L461_); trivial. % 0.80/1.00 (* end of lemma zenon_L467_ *) % 0.80/1.00 assert (zenon_L468_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a549)))/\((~(c1_1 (a549)))/\(~(c2_1 (a549))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H296 zenon_H47 zenon_H187 zenon_H189 zenon_H14f zenon_H1db zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H10 zenon_He4 zenon_H295 zenon_Hf7 zenon_H95 zenon_H160 zenon_H161 zenon_Hd6 zenon_H277 zenon_H24 zenon_H15c zenon_H23b zenon_Hb zenon_H24a zenon_H249 zenon_H131 zenon_H22b zenon_H25b zenon_H252 zenon_H251 zenon_H250 zenon_H275 zenon_H3d zenon_H10f zenon_H26c zenon_H267 zenon_H1d9 zenon_Hd7 zenon_H18f zenon_H180 zenon_H194 zenon_H1b4 zenon_H1c1. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/1.00 apply (zenon_L445_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L454_); trivial. % 0.80/1.00 apply (zenon_L462_); trivial. % 0.80/1.00 apply (zenon_L467_); trivial. % 0.80/1.00 apply (zenon_L375_); trivial. % 0.80/1.00 (* end of lemma zenon_L468_ *) % 0.80/1.00 assert (zenon_L469_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a540))) -> (c3_1 (a540)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp30)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp0)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H47 zenon_H187 zenon_H10 zenon_H250 zenon_H252 zenon_H41 zenon_H38 zenon_H30 zenon_H2e zenon_H3f zenon_H189 zenon_H3d. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.80/1.00 apply (zenon_L22_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H2d | zenon_intro zenon_H18a ]. % 0.80/1.00 apply (zenon_L22_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H182 | zenon_intro zenon_H188 ]. % 0.80/1.00 apply (zenon_L373_); trivial. % 0.80/1.00 exact (zenon_H187 zenon_H188). % 0.80/1.00 exact (zenon_H3d zenon_H3e). % 0.80/1.00 (* end of lemma zenon_L469_ *) % 0.80/1.00 assert (zenon_L470_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a562)) -> (c2_1 (a562)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a553))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1df zenon_H65 zenon_H64 zenon_He6 zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H153 zenon_H154 zenon_H155 zenon_H15c zenon_H10 zenon_H198 zenon_H58 zenon_H199 zenon_H19a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.80/1.00 apply (zenon_L209_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.80/1.00 apply (zenon_L190_); trivial. % 0.80/1.00 apply (zenon_L280_); trivial. % 0.80/1.00 (* end of lemma zenon_L470_ *) % 0.80/1.00 assert (zenon_L471_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(c0_1 (a547))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (~(c2_1 (a553))) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp18)) -> (c2_1 (a562)) -> (c3_1 (a562)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp0)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H180 zenon_H1d1 zenon_H19a zenon_H199 zenon_H58 zenon_H198 zenon_H10 zenon_H15c zenon_H155 zenon_H154 zenon_H153 zenon_H1c4 zenon_H1c2 zenon_Ha3 zenon_H64 zenon_H65 zenon_H1df zenon_H3d. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/1.00 apply (zenon_L167_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/1.00 apply (zenon_L470_); trivial. % 0.80/1.00 exact (zenon_H3d zenon_H3e). % 0.80/1.00 (* end of lemma zenon_L471_ *) % 0.80/1.00 assert (zenon_L472_ : ((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c0_1 (a547))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H92 zenon_H275 zenon_H3d zenon_H1df zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H153 zenon_H154 zenon_H155 zenon_H15c zenon_H198 zenon_H199 zenon_H19a zenon_H1d1 zenon_H180 zenon_H38 zenon_H30 zenon_H2e zenon_H25e zenon_H25f zenon_H260. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H93. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6d. zenon_intro zenon_H94. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/1.00 apply (zenon_L471_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/1.00 apply (zenon_L68_); trivial. % 0.80/1.00 apply (zenon_L354_); trivial. % 0.80/1.00 (* end of lemma zenon_L472_ *) % 0.80/1.00 assert (zenon_L473_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a540)) -> (~(c1_1 (a540))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H89 zenon_H8b zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H1df zenon_H19a zenon_H199 zenon_H198 zenon_H153 zenon_H154 zenon_H155 zenon_Ha3 zenon_H15c zenon_H180 zenon_H41 zenon_H3d zenon_H189 zenon_H187 zenon_H252 zenon_H250 zenon_H47. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/1.00 apply (zenon_L469_); trivial. % 0.80/1.00 apply (zenon_L472_); trivial. % 0.80/1.00 (* end of lemma zenon_L473_ *) % 0.80/1.00 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H162 zenon_H161 zenon_Hd6 zenon_H277 zenon_H95 zenon_H8b zenon_H275 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H1df zenon_H19a zenon_H199 zenon_H198 zenon_H15c zenon_H180 zenon_H41 zenon_H3d zenon_H189 zenon_H187 zenon_H47 zenon_H215 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H131 zenon_H4b zenon_H22b zenon_H295 zenon_H28e zenon_H28d zenon_H28c zenon_H1db zenon_H14f zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_L456_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.00 apply (zenon_L353_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_L473_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 apply (zenon_L368_); trivial. % 0.80/1.00 (* end of lemma zenon_L474_ *) % 0.80/1.00 assert (zenon_L475_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp30)) -> (~(hskp0)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H189 zenon_H3f zenon_H3d zenon_H2e zenon_H30 zenon_H38 zenon_H41 zenon_H176 zenon_H174 zenon_H183 zenon_H10 zenon_H187. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H2d | zenon_intro zenon_H18a ]. % 0.80/1.00 apply (zenon_L22_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H182 | zenon_intro zenon_H188 ]. % 0.80/1.00 apply (zenon_L119_); trivial. % 0.80/1.00 exact (zenon_H187 zenon_H188). % 0.80/1.00 (* end of lemma zenon_L475_ *) % 0.80/1.00 assert (zenon_L476_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H89 zenon_H8b zenon_H180 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_H1df zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H41 zenon_H3d zenon_H183 zenon_H174 zenon_H176 zenon_H187 zenon_H189. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/1.00 apply (zenon_L475_); trivial. % 0.80/1.00 apply (zenon_L345_); trivial. % 0.80/1.00 (* end of lemma zenon_L476_ *) % 0.80/1.00 assert (zenon_L477_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H14f zenon_H1db zenon_H295 zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H10 zenon_H189 zenon_H187 zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H41 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H1df zenon_H153 zenon_H154 zenon_H155 zenon_Ha3 zenon_H15c zenon_H180 zenon_H8b zenon_H95. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_L476_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 (* end of lemma zenon_L477_ *) % 0.80/1.00 assert (zenon_L478_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1b1 zenon_H160 zenon_H161 zenon_Hd6 zenon_H26c zenon_H277 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H95 zenon_H8b zenon_H15c zenon_H1df zenon_H41 zenon_H187 zenon_H189 zenon_H28c zenon_H28d zenon_H28e zenon_H215 zenon_H295 zenon_H1db zenon_H14f zenon_H131 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H10f zenon_H3d zenon_H180. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L193_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_L198_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.00 apply (zenon_L477_); trivial. % 0.80/1.00 apply (zenon_L368_); trivial. % 0.80/1.00 (* end of lemma zenon_L478_ *) % 0.80/1.00 assert (zenon_L479_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1c1 zenon_H1b4 zenon_H26c zenon_H10f zenon_H3d zenon_H275 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H22b zenon_H131 zenon_H47 zenon_H187 zenon_H189 zenon_H41 zenon_H180 zenon_H15c zenon_H1df zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H8b zenon_H277 zenon_Hd6 zenon_H161 zenon_H160 zenon_H95 zenon_Hf7 zenon_H295 zenon_He4 zenon_H10 zenon_H28c zenon_H28d zenon_H28e zenon_H215 zenon_H1db zenon_H14f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/1.00 apply (zenon_L445_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_L454_); trivial. % 0.80/1.00 apply (zenon_L474_); trivial. % 0.80/1.00 apply (zenon_L478_); trivial. % 0.80/1.00 (* end of lemma zenon_L479_ *) % 0.80/1.00 assert (zenon_L480_ : ((~(hskp4))\/((ndr1_0)/\((c3_1 (a540))/\((~(c1_1 (a540)))/\(~(c2_1 (a540))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a549)))/\((~(c1_1 (a549)))/\(~(c2_1 (a549))))))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a546))/\((~(c0_1 (a546)))/\(~(c1_1 (a546))))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a547))/\((~(c0_1 (a547)))/\(~(c3_1 (a547))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a544))/\((c1_1 (a544))/\(~(c3_1 (a544))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H297 zenon_H1b4 zenon_H18f zenon_Hd7 zenon_H1d9 zenon_H267 zenon_H26c zenon_H275 zenon_H25b zenon_H22b zenon_H131 zenon_H15c zenon_H277 zenon_Hd6 zenon_H161 zenon_H189 zenon_H296 zenon_H298 zenon_H299 zenon_H1df zenon_H180 zenon_He4 zenon_Hf7 zenon_H187 zenon_H213 zenon_H24 zenon_H20 zenon_H23b zenon_H24a zenon_H249 zenon_H1c1 zenon_H14f zenon_H1db zenon_H215 zenon_H28e zenon_H28d zenon_H28c zenon_H10 zenon_H2b zenon_H47 zenon_H3d zenon_H41 zenon_H295 zenon_H83 zenon_H8b zenon_H8a zenon_H95 zenon_H10f zenon_H139 zenon_H160 zenon_H194 zenon_H22d zenon_H29a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H1d | zenon_intro zenon_H29b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H29c ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.80/1.00 apply (zenon_L442_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/1.00 apply (zenon_L445_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_L283_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 apply (zenon_L447_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/1.00 apply (zenon_L445_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L433_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/1.00 apply (zenon_L262_); trivial. % 0.80/1.00 apply (zenon_L449_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H10. zenon_intro zenon_H2a0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H20a. zenon_intro zenon_H2a1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H20b. zenon_intro zenon_H214. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.80/1.00 apply (zenon_L442_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/1.00 apply (zenon_L445_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L451_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H2a2. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H252. zenon_intro zenon_H2a3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.80/1.00 apply (zenon_L468_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.80/1.00 apply (zenon_L479_); trivial. % 0.80/1.00 apply (zenon_L375_); trivial. % 0.80/1.00 (* end of lemma zenon_L480_ *) % 0.80/1.00 assert (zenon_L481_ : (~(hskp16)) -> (hskp16) -> False). % 0.80/1.00 do 0 intro. intros zenon_H2a4 zenon_H2a5. % 0.80/1.00 exact (zenon_H2a4 zenon_H2a5). % 0.80/1.00 (* end of lemma zenon_L481_ *) % 0.80/1.00 assert (zenon_L482_ : ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp16)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H2a6 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H10 zenon_H54 zenon_H2a4. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2aa ]. % 0.80/1.00 generalize (zenon_H2ab (a538)). zenon_intro zenon_H2ac. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H2ac); [ zenon_intro zenon_Hf | zenon_intro zenon_H2ad ]. % 0.80/1.00 exact (zenon_Hf zenon_H10). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 0.80/1.00 exact (zenon_H2a9 zenon_H2af). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H2b0 ]. % 0.80/1.00 exact (zenon_H2a8 zenon_H2b1). % 0.80/1.00 exact (zenon_H2a7 zenon_H2b0). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H55 | zenon_intro zenon_H2a5 ]. % 0.80/1.00 exact (zenon_H54 zenon_H55). % 0.80/1.00 exact (zenon_H2a4 zenon_H2a5). % 0.80/1.00 (* end of lemma zenon_L482_ *) % 0.80/1.00 assert (zenon_L483_ : (forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68)))))) -> (ndr1_0) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H223 zenon_H10 zenon_H2b2 zenon_H2b3 zenon_H2b4. % 0.80/1.00 generalize (zenon_H223 (a570)). zenon_intro zenon_H2b5. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_Hf | zenon_intro zenon_H2b6 ]. % 0.80/1.00 exact (zenon_Hf zenon_H10). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b7 ]. % 0.80/1.00 exact (zenon_H2b2 zenon_H2b8). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2b9 ]. % 0.80/1.00 exact (zenon_H2b3 zenon_H2ba). % 0.80/1.00 exact (zenon_H2b9 zenon_H2b4). % 0.80/1.00 (* end of lemma zenon_L483_ *) % 0.80/1.00 assert (zenon_L484_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H2bb zenon_H2bc zenon_H54 zenon_H29. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H223 | zenon_intro zenon_H57 ]. % 0.80/1.00 apply (zenon_L483_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H55 | zenon_intro zenon_H2a ]. % 0.80/1.00 exact (zenon_H54 zenon_H55). % 0.80/1.00 exact (zenon_H29 zenon_H2a). % 0.80/1.00 (* end of lemma zenon_L484_ *) % 0.80/1.00 assert (zenon_L485_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H2bf zenon_H2bc zenon_H29 zenon_H10 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.00 apply (zenon_L482_); trivial. % 0.80/1.00 apply (zenon_L484_); trivial. % 0.80/1.00 (* end of lemma zenon_L485_ *) % 0.80/1.00 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (~(hskp14)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hf2 zenon_H2c0 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H4d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H223 | zenon_intro zenon_H2c1 ]. % 0.80/1.00 apply (zenon_L483_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_He6 | zenon_intro zenon_H4e ]. % 0.80/1.00 apply (zenon_L71_); trivial. % 0.80/1.00 exact (zenon_H4d zenon_H4e). % 0.80/1.00 (* end of lemma zenon_L486_ *) % 0.80/1.00 assert (zenon_L487_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H89 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hb3 zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/1.00 apply (zenon_L70_); trivial. % 0.80/1.00 apply (zenon_L486_); trivial. % 0.80/1.00 (* end of lemma zenon_L487_ *) % 0.80/1.00 assert (zenon_L488_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H95 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hb3 zenon_He4 zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.00 apply (zenon_L13_); trivial. % 0.80/1.00 apply (zenon_L487_); trivial. % 0.80/1.00 (* end of lemma zenon_L488_ *) % 0.80/1.00 assert (zenon_L489_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H95 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_Hb3 zenon_He4 zenon_Hd zenon_Hb zenon_H1b zenon_H1d zenon_H20 zenon_H24. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_L488_); trivial. % 0.80/1.01 (* end of lemma zenon_L489_ *) % 0.80/1.01 assert (zenon_L490_ : ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp4)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H227 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H10 zenon_H1e1 zenon_H1d. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H223 | zenon_intro zenon_H228 ]. % 0.80/1.01 apply (zenon_L483_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e ]. % 0.80/1.01 exact (zenon_H1e1 zenon_H1e2). % 0.80/1.01 exact (zenon_H1d zenon_H1e). % 0.80/1.01 (* end of lemma zenon_L490_ *) % 0.80/1.01 assert (zenon_L491_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H1fe zenon_H1db zenon_H9c zenon_H9b zenon_H9a zenon_H203 zenon_H202 zenon_H201 zenon_H1d zenon_H227. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/1.01 apply (zenon_L490_); trivial. % 0.80/1.01 apply (zenon_L260_); trivial. % 0.80/1.01 (* end of lemma zenon_L491_ *) % 0.80/1.01 assert (zenon_L492_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hd5 zenon_H2bf zenon_H1fe zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H1d zenon_H227 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L491_); trivial. % 0.80/1.01 (* end of lemma zenon_L492_ *) % 0.80/1.01 assert (zenon_L493_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H89 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H4b zenon_H22b zenon_H1cf zenon_H1 zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H1d zenon_H227. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/1.01 apply (zenon_L490_); trivial. % 0.80/1.01 apply (zenon_L296_); trivial. % 0.80/1.01 (* end of lemma zenon_L493_ *) % 0.80/1.01 assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c3_1 (a584)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a594))) -> (~(c1_1 (a594))) -> (c2_1 (a594)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1f zenon_Hf7 zenon_H189 zenon_H187 zenon_H176 zenon_H174 zenon_H183 zenon_H2e zenon_H30 zenon_H38 zenon_H3d zenon_H41 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H1cf zenon_H1 zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/1.01 apply (zenon_L475_); trivial. % 0.80/1.01 apply (zenon_L211_); trivial. % 0.80/1.01 apply (zenon_L212_); trivial. % 0.80/1.01 (* end of lemma zenon_L494_ *) % 0.80/1.01 assert (zenon_L495_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1fa zenon_H24 zenon_Hf7 zenon_H189 zenon_H176 zenon_H174 zenon_H183 zenon_H1cf zenon_H1 zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H38 zenon_H30 zenon_H2e zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H54 zenon_H249. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/1.01 apply (zenon_L295_); trivial. % 0.80/1.01 apply (zenon_L494_); trivial. % 0.80/1.01 (* end of lemma zenon_L495_ *) % 0.80/1.01 assert (zenon_L496_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H89 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H189 zenon_H176 zenon_H174 zenon_H183 zenon_H1cf zenon_H1 zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H1d zenon_H227. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/1.01 apply (zenon_L490_); trivial. % 0.80/1.01 apply (zenon_L495_); trivial. % 0.80/1.01 (* end of lemma zenon_L496_ *) % 0.80/1.01 assert (zenon_L497_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp14)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H14f zenon_H24 zenon_H15c zenon_Ha3 zenon_H155 zenon_H154 zenon_H153 zenon_Hb zenon_Hd zenon_H227 zenon_H1d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H249 zenon_H54 zenon_H146 zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H3d zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H187 zenon_H213 zenon_H8b zenon_H1db zenon_H172 zenon_H4d zenon_H180 zenon_H1cf zenon_H183 zenon_H174 zenon_H176 zenon_H189 zenon_Hf7 zenon_H1fe zenon_H95. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L109_); trivial. % 0.80/1.01 apply (zenon_L496_); trivial. % 0.80/1.01 apply (zenon_L286_); trivial. % 0.80/1.01 (* end of lemma zenon_L497_ *) % 0.80/1.01 assert (zenon_L498_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H15e zenon_Hf0 zenon_Hf3 zenon_H95 zenon_H1fe zenon_Hf7 zenon_H189 zenon_H176 zenon_H174 zenon_H183 zenon_H1cf zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H1d zenon_H227 zenon_Hd zenon_Hb zenon_H15c zenon_H24 zenon_H14f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.01 apply (zenon_L497_); trivial. % 0.80/1.01 apply (zenon_L128_); trivial. % 0.80/1.01 (* end of lemma zenon_L498_ *) % 0.80/1.01 assert (zenon_L499_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H161 zenon_Hd6 zenon_H15e zenon_Hf0 zenon_Hf3 zenon_H15c zenon_H95 zenon_H1fe zenon_Hf7 zenon_H189 zenon_H1cf zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H1d zenon_H227 zenon_Hd zenon_Hb zenon_H172 zenon_H4d zenon_H131 zenon_H11e zenon_H11d zenon_H11c zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180 zenon_H24 zenon_H14f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L302_); trivial. % 0.80/1.01 apply (zenon_L496_); trivial. % 0.80/1.01 apply (zenon_L286_); trivial. % 0.80/1.01 apply (zenon_L498_); trivial. % 0.80/1.01 (* end of lemma zenon_L499_ *) % 0.80/1.01 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H162 zenon_H2bf zenon_H161 zenon_Hd6 zenon_H15e zenon_Hf0 zenon_Hf3 zenon_H15c zenon_H95 zenon_H1fe zenon_Hf7 zenon_H189 zenon_H1cf zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H249 zenon_H1d zenon_H227 zenon_Hd zenon_Hb zenon_H172 zenon_H4d zenon_H131 zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180 zenon_H24 zenon_H14f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L499_); trivial. % 0.80/1.01 (* end of lemma zenon_L500_ *) % 0.80/1.01 assert (zenon_L501_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1fa zenon_H24 zenon_H180 zenon_H172 zenon_H8b zenon_H1db zenon_H4d zenon_H1f6 zenon_H1 zenon_H1cf zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H2c0 zenon_Hf7. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/1.01 apply (zenon_L208_); trivial. % 0.80/1.01 apply (zenon_L486_); trivial. % 0.80/1.01 apply (zenon_L213_); trivial. % 0.80/1.01 (* end of lemma zenon_L501_ *) % 0.80/1.01 assert (zenon_L502_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (ndr1_0) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1fe zenon_H24 zenon_H180 zenon_H172 zenon_H8b zenon_H1db zenon_H4d zenon_H1f6 zenon_H1 zenon_H1cf zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H2c0 zenon_Hf7 zenon_H10 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H1d zenon_H227. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/1.01 apply (zenon_L490_); trivial. % 0.80/1.01 apply (zenon_L501_); trivial. % 0.80/1.01 (* end of lemma zenon_L502_ *) % 0.80/1.01 assert (zenon_L503_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1fa zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/1.01 apply (zenon_L204_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/1.01 apply (zenon_L217_); trivial. % 0.80/1.01 apply (zenon_L153_); trivial. % 0.80/1.01 (* end of lemma zenon_L503_ *) % 0.80/1.01 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H14f zenon_H95 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H146 zenon_H54 zenon_H227 zenon_H1d zenon_Hf7 zenon_H2c0 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H1cf zenon_H1f6 zenon_H4d zenon_H1db zenon_H8b zenon_H172 zenon_H180 zenon_H24 zenon_H1fe. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_L502_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/1.01 apply (zenon_L203_); trivial. % 0.80/1.01 apply (zenon_L503_); trivial. % 0.80/1.01 apply (zenon_L487_); trivial. % 0.80/1.01 (* end of lemma zenon_L504_ *) % 0.80/1.01 assert (zenon_L505_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_Hd6 zenon_H15e zenon_H106 zenon_H105 zenon_H104 zenon_H1fe zenon_H24 zenon_H180 zenon_H172 zenon_H8b zenon_H1db zenon_H4d zenon_H1f6 zenon_H1cf zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H2c0 zenon_Hf7 zenon_H1d zenon_H227 zenon_Ha5 zenon_H54 zenon_H146 zenon_H83 zenon_H8a zenon_H14f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_L502_); trivial. % 0.80/1.01 apply (zenon_L237_); trivial. % 0.80/1.01 apply (zenon_L111_); trivial. % 0.80/1.01 (* end of lemma zenon_L505_ *) % 0.80/1.01 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H203 zenon_H202 zenon_H201 zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H14f zenon_H8a zenon_H83 zenon_H146 zenon_Ha5 zenon_H227 zenon_H1d zenon_Hf7 zenon_H2c0 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H1cf zenon_H1f6 zenon_H1db zenon_H8b zenon_H172 zenon_H180 zenon_H24 zenon_H1fe zenon_H15e zenon_Hd6 zenon_H2bf. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L505_); trivial. % 0.80/1.01 apply (zenon_L492_); trivial. % 0.80/1.01 (* end of lemma zenon_L506_ *) % 0.80/1.01 assert (zenon_L507_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (~(hskp27)) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H9 zenon_H239 zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H3f | zenon_intro zenon_H92 ]. % 0.80/1.01 apply (zenon_L144_); trivial. % 0.80/1.01 apply (zenon_L290_); trivial. % 0.80/1.01 (* end of lemma zenon_L507_ *) % 0.80/1.01 assert (zenon_L508_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (~(hskp3)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H246 zenon_H146 zenon_H19a zenon_H199 zenon_H198 zenon_H54. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H10. zenon_intro zenon_H247. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H23e. zenon_intro zenon_H248. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H23f. zenon_intro zenon_H23d. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.80/1.01 apply (zenon_L292_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.80/1.01 apply (zenon_L141_); trivial. % 0.80/1.01 exact (zenon_H54 zenon_H55). % 0.80/1.01 (* end of lemma zenon_L508_ *) % 0.80/1.01 assert (zenon_L509_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> (ndr1_0) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> (~(hskp26)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H249 zenon_H146 zenon_H54 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H10 zenon_H201 zenon_H202 zenon_H203 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H9 zenon_H23b zenon_H187 zenon_H213 zenon_H8b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H239 | zenon_intro zenon_H246 ]. % 0.80/1.01 apply (zenon_L507_); trivial. % 0.80/1.01 apply (zenon_L508_); trivial. % 0.80/1.01 (* end of lemma zenon_L509_ *) % 0.80/1.01 assert (zenon_L510_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp14)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H14f zenon_H227 zenon_H1d zenon_H249 zenon_H146 zenon_H54 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H201 zenon_H202 zenon_H203 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H187 zenon_H213 zenon_H8b zenon_H1db zenon_H172 zenon_H4d zenon_H180 zenon_H1cf zenon_Hf7 zenon_H24 zenon_H1fe. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/1.01 apply (zenon_L490_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.80/1.01 apply (zenon_L509_); trivial. % 0.80/1.01 apply (zenon_L213_); trivial. % 0.80/1.01 apply (zenon_L286_); trivial. % 0.80/1.01 (* end of lemma zenon_L510_ *) % 0.80/1.01 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a551))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1be zenon_Hdd zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H1cf zenon_H180 zenon_H172 zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H83 zenon_H203 zenon_H202 zenon_H201 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3d zenon_H41 zenon_H146 zenon_H249 zenon_H1d zenon_H227 zenon_H14f zenon_H2bf. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L510_); trivial. % 0.80/1.01 apply (zenon_L492_); trivial. % 0.80/1.01 (* end of lemma zenon_L511_ *) % 0.80/1.01 assert (zenon_L512_ : ((ndr1_0)/\((c1_1 (a551))/\((c3_1 (a551))/\(~(c0_1 (a551)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1fd zenon_H1c1 zenon_H213 zenon_H187 zenon_H23b zenon_H249 zenon_Hdd zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1fe zenon_H24 zenon_H180 zenon_H172 zenon_H8b zenon_H1db zenon_H1f6 zenon_H1cf zenon_H3d zenon_H41 zenon_H2c0 zenon_Hf7 zenon_H1d zenon_H227 zenon_H146 zenon_H203 zenon_H202 zenon_H201 zenon_H1e3 zenon_He4 zenon_H95 zenon_H14f zenon_H2bf zenon_Hd6 zenon_H15e zenon_Ha5 zenon_H83 zenon_H8a zenon_H194. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L504_); trivial. % 0.80/1.01 apply (zenon_L492_); trivial. % 0.80/1.01 apply (zenon_L506_); trivial. % 0.80/1.01 apply (zenon_L511_); trivial. % 0.80/1.01 (* end of lemma zenon_L512_ *) % 0.80/1.01 assert (zenon_L513_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (ndr1_0) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H20 zenon_H1d zenon_H1b zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H1 zenon_H1cf. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/1.01 apply (zenon_L166_); trivial. % 0.80/1.01 apply (zenon_L486_); trivial. % 0.80/1.01 (* end of lemma zenon_L513_ *) % 0.80/1.01 assert (zenon_L514_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (~(c1_1 (a582))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2c2 zenon_Hfa zenon_Hf9 zenon_H62 zenon_H13b zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H10 zenon_H3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H140 | zenon_intro zenon_H2c3 ]. % 0.80/1.01 apply (zenon_L150_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H223 | zenon_intro zenon_H4 ]. % 0.80/1.01 apply (zenon_L483_); trivial. % 0.80/1.01 exact (zenon_H3 zenon_H4). % 0.80/1.01 (* end of lemma zenon_L514_ *) % 0.80/1.01 assert (zenon_L515_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp0)) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1db zenon_H3d zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H180 zenon_H203 zenon_H202 zenon_H201 zenon_H2c2 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H10 zenon_H3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/1.01 apply (zenon_L336_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/1.01 apply (zenon_L217_); trivial. % 0.80/1.01 apply (zenon_L514_); trivial. % 0.80/1.01 (* end of lemma zenon_L515_ *) % 0.80/1.01 assert (zenon_L516_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H14a zenon_H95 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_Hb3 zenon_He4 zenon_H180 zenon_H3d zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1db. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L515_); trivial. % 0.80/1.01 apply (zenon_L487_); trivial. % 0.80/1.01 (* end of lemma zenon_L516_ *) % 0.80/1.01 assert (zenon_L517_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp13)) -> (~(hskp22)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1fe zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1cf zenon_H1 zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H25 zenon_H3 zenon_H1e3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/1.01 apply (zenon_L203_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/1.01 apply (zenon_L220_); trivial. % 0.80/1.01 apply (zenon_L486_); trivial. % 0.80/1.01 (* end of lemma zenon_L517_ *) % 0.80/1.01 assert (zenon_L518_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H95 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1 zenon_H1cf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H4d zenon_H2c0 zenon_Hf7 zenon_H1fe. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L517_); trivial. % 0.80/1.01 apply (zenon_L487_); trivial. % 0.80/1.01 (* end of lemma zenon_L518_ *) % 0.80/1.01 assert (zenon_L519_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a544)) -> (c1_1 (a544)) -> (~(c3_1 (a544))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hdd zenon_H1d zenon_H227 zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H10 zenon_H95 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_H213 zenon_H187 zenon_H20a zenon_H20b zenon_H214 zenon_H215 zenon_H1cf zenon_H2c0 zenon_Hf7 zenon_H1fe zenon_H1db zenon_Hf0 zenon_Hf3 zenon_H203 zenon_H202 zenon_H201 zenon_H14f zenon_H2bf. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_L518_); trivial. % 0.80/1.01 apply (zenon_L259_); trivial. % 0.80/1.01 apply (zenon_L492_); trivial. % 0.80/1.01 (* end of lemma zenon_L519_ *) % 0.80/1.01 assert (zenon_L520_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(hskp21)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H95 zenon_Hf7 zenon_H2c0 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hb3 zenon_He4 zenon_H7 zenon_H1 zenon_H4f zenon_H4d zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L186_); trivial. % 0.80/1.01 apply (zenon_L487_); trivial. % 0.80/1.01 (* end of lemma zenon_L520_ *) % 0.80/1.01 assert (zenon_L521_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp17)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> (~(hskp3)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1db zenon_H12f zenon_H11c zenon_H11d zenon_H11e zenon_H131 zenon_Hb3 zenon_H4b zenon_H146 zenon_H105 zenon_H106 zenon_H104 zenon_H54 zenon_H148 zenon_H2c2 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H10 zenon_H3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.80/1.01 apply (zenon_L231_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11b | zenon_intro zenon_H130 ]. % 0.80/1.01 apply (zenon_L86_); trivial. % 0.80/1.01 exact (zenon_H12f zenon_H130). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/1.01 apply (zenon_L99_); trivial. % 0.80/1.01 apply (zenon_L514_); trivial. % 0.80/1.01 (* end of lemma zenon_L521_ *) % 0.80/1.01 assert (zenon_L522_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H14a zenon_H95 zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_He4 zenon_H131 zenon_H12f zenon_H11e zenon_H11d zenon_H11c zenon_H104 zenon_H106 zenon_H105 zenon_H54 zenon_H146 zenon_H148 zenon_Hb3 zenon_H4b zenon_H2c2 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1db. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L521_); trivial. % 0.80/1.01 apply (zenon_L80_); trivial. % 0.80/1.01 (* end of lemma zenon_L522_ *) % 0.80/1.01 assert (zenon_L523_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H14f zenon_Hf3 zenon_Hf0 zenon_H131 zenon_H12f zenon_H104 zenon_H106 zenon_H105 zenon_H54 zenon_H146 zenon_H148 zenon_H2c2 zenon_H1db zenon_H138 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H4b zenon_H4d zenon_H4f zenon_H7 zenon_He4 zenon_Hb3 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H2c0 zenon_Hf7 zenon_H95. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_L520_); trivial. % 0.80/1.01 apply (zenon_L522_); trivial. % 0.80/1.01 (* end of lemma zenon_L523_ *) % 0.80/1.01 assert (zenon_L524_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(c3_1 (a544))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> (~(hskp12)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a565)) -> (c3_1 (a565)) -> (~(c2_1 (a565))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H161 zenon_H221 zenon_H20b zenon_H20a zenon_H214 zenon_H95 zenon_Hf7 zenon_H2c0 zenon_Hb3 zenon_He4 zenon_H7 zenon_H4f zenon_H4d zenon_H4b zenon_H11c zenon_H11d zenon_H11e zenon_H134 zenon_H8c zenon_H138 zenon_H1db zenon_H2c2 zenon_H148 zenon_H146 zenon_H54 zenon_H105 zenon_H106 zenon_H104 zenon_H131 zenon_Hf0 zenon_Hf3 zenon_H14f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.01 apply (zenon_L523_); trivial. % 0.80/1.01 apply (zenon_L230_); trivial. % 0.80/1.01 (* end of lemma zenon_L524_ *) % 0.80/1.01 assert (zenon_L525_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H1fe zenon_H203 zenon_H202 zenon_H201 zenon_H1d zenon_H227 zenon_H10f zenon_H3d zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H14f zenon_Hf3 zenon_Hf0 zenon_H131 zenon_H146 zenon_H148 zenon_H2c2 zenon_H1db zenon_H138 zenon_H8c zenon_H134 zenon_H4b zenon_H4f zenon_H7 zenon_He4 zenon_Hb3 zenon_H2c0 zenon_Hf7 zenon_H95 zenon_H214 zenon_H20a zenon_H20b zenon_H221 zenon_H161 zenon_H2bf zenon_H160. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.01 apply (zenon_L84_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L524_); trivial. % 0.80/1.01 apply (zenon_L492_); trivial. % 0.80/1.01 (* end of lemma zenon_L525_ *) % 0.80/1.01 assert (zenon_L526_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H95 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hb3 zenon_He4 zenon_Hd zenon_Hb zenon_H153 zenon_H154 zenon_H155 zenon_Ha3 zenon_H15c zenon_H24. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L109_); trivial. % 0.80/1.01 apply (zenon_L487_); trivial. % 0.80/1.01 (* end of lemma zenon_L526_ *) % 0.80/1.01 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H15e zenon_H1d zenon_H106 zenon_H105 zenon_H104 zenon_H24 zenon_H15c zenon_Hb zenon_Hd zenon_He4 zenon_Hb3 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H4d zenon_H2c0 zenon_Hf7 zenon_H95. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.01 apply (zenon_L526_); trivial. % 0.80/1.01 apply (zenon_L111_); trivial. % 0.80/1.01 (* end of lemma zenon_L527_ *) % 0.80/1.01 assert (zenon_L528_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H161 zenon_Hd6 zenon_H15e zenon_H1d zenon_H15c zenon_H2c0 zenon_H24 zenon_H180 zenon_H3d zenon_H11c zenon_H11d zenon_H11e zenon_H131 zenon_H183 zenon_H174 zenon_H176 zenon_H104 zenon_H105 zenon_H106 zenon_H18f zenon_Hb zenon_Hd zenon_He4 zenon_Hb3 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7 zenon_H95. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.01 apply (zenon_L275_); trivial. % 0.80/1.01 apply (zenon_L527_); trivial. % 0.80/1.01 (* end of lemma zenon_L528_ *) % 0.80/1.01 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H1fe zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H227 zenon_H10f zenon_H3d zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H95 zenon_Hf7 zenon_Hf3 zenon_Hf0 zenon_Hb3 zenon_He4 zenon_Hd zenon_Hb zenon_H18f zenon_H176 zenon_H174 zenon_H183 zenon_H131 zenon_H180 zenon_H24 zenon_H2c0 zenon_H15c zenon_H1d zenon_H15e zenon_Hd6 zenon_H161 zenon_H2bf zenon_H160. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.01 apply (zenon_L84_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L528_); trivial. % 0.80/1.01 apply (zenon_L492_); trivial. % 0.80/1.01 (* end of lemma zenon_L529_ *) % 0.80/1.01 assert (zenon_L530_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H1fe zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H25 zenon_H1e3 zenon_H47 zenon_H3d zenon_H41 zenon_H201 zenon_H202 zenon_H203 zenon_H83 zenon_H198 zenon_H199 zenon_H19a zenon_H10d zenon_H10f zenon_H8b zenon_H95. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L517_); trivial. % 0.80/1.01 apply (zenon_L283_); trivial. % 0.80/1.01 apply (zenon_L286_); trivial. % 0.80/1.01 (* end of lemma zenon_L530_ *) % 0.80/1.01 assert (zenon_L531_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (ndr1_0) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bf zenon_H14f zenon_H1db zenon_H146 zenon_H1fe zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H25 zenon_H1e3 zenon_H47 zenon_H3d zenon_H41 zenon_H201 zenon_H202 zenon_H203 zenon_H83 zenon_H198 zenon_H199 zenon_H19a zenon_H10d zenon_H10f zenon_H8b zenon_H95 zenon_H10 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L530_); trivial. % 0.80/1.01 (* end of lemma zenon_L531_ *) % 0.80/1.01 assert (zenon_L532_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H2bb zenon_H14f zenon_H138 zenon_H8c zenon_H134 zenon_H11e zenon_H11d zenon_H11c zenon_H4b zenon_H4d zenon_H4f zenon_H7 zenon_H227 zenon_H1d zenon_H249 zenon_H54 zenon_H146 zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H3d zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H187 zenon_H213 zenon_H8b zenon_H1db zenon_H172 zenon_H180 zenon_H1cf zenon_H22b zenon_Hf7 zenon_H24 zenon_H1fe zenon_H95. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.01 apply (zenon_L186_); trivial. % 0.80/1.01 apply (zenon_L493_); trivial. % 0.80/1.01 apply (zenon_L286_); trivial. % 0.80/1.01 (* end of lemma zenon_L532_ *) % 0.80/1.01 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp31)\/((hskp12)\/(hskp14))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H162 zenon_H2bf zenon_H14f zenon_H138 zenon_H8c zenon_H134 zenon_H4b zenon_H4d zenon_H4f zenon_H7 zenon_H227 zenon_H1d zenon_H249 zenon_H146 zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H3d zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H187 zenon_H213 zenon_H8b zenon_H1db zenon_H172 zenon_H180 zenon_H1cf zenon_H22b zenon_Hf7 zenon_H24 zenon_H1fe zenon_H95 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.01 apply (zenon_L482_); trivial. % 0.80/1.01 apply (zenon_L532_); trivial. % 0.80/1.01 (* end of lemma zenon_L533_ *) % 0.80/1.01 assert (zenon_L534_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (ndr1_0) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hdd zenon_H2bf zenon_H14f zenon_H1db zenon_H146 zenon_H1fe zenon_Hf7 zenon_H2c0 zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H25 zenon_H1e3 zenon_H47 zenon_H3d zenon_H41 zenon_H201 zenon_H202 zenon_H203 zenon_H83 zenon_H198 zenon_H199 zenon_H19a zenon_H10f zenon_H8b zenon_H95 zenon_H10 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6 zenon_H24 zenon_H22b zenon_H180 zenon_H172 zenon_H23b zenon_H249 zenon_H1d zenon_H227 zenon_H7 zenon_H4f zenon_H4b zenon_H134 zenon_H8c zenon_H138 zenon_H160. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.01 apply (zenon_L531_); trivial. % 0.80/1.01 apply (zenon_L533_); trivial. % 0.80/1.01 apply (zenon_L492_); trivial. % 0.80/1.01 (* end of lemma zenon_L534_ *) % 0.80/1.01 assert (zenon_L535_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((hskp31)\/((hskp12)\/(hskp14))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H10f zenon_H3d zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H95 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H22b zenon_H1cf zenon_H180 zenon_H172 zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H249 zenon_H1d zenon_H227 zenon_H7 zenon_H4f zenon_H4b zenon_H134 zenon_H8c zenon_H138 zenon_H14f zenon_H2bf zenon_H160. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.01 apply (zenon_L84_); trivial. % 0.80/1.01 apply (zenon_L533_); trivial. % 0.80/1.01 apply (zenon_L492_); trivial. % 0.80/1.01 (* end of lemma zenon_L535_ *) % 0.80/1.01 assert (zenon_L536_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> (~(c2_1 (a567))) -> (c0_1 (a567)) -> (c1_1 (a567)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c2_1 (a565))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H2bb zenon_H161 zenon_Hd6 zenon_H15e zenon_Hd zenon_Hb zenon_H15c zenon_H95 zenon_H1fe zenon_H24 zenon_Hf7 zenon_H189 zenon_H176 zenon_H174 zenon_H183 zenon_H1cf zenon_H180 zenon_H4d zenon_H172 zenon_H1db zenon_H8b zenon_H213 zenon_H187 zenon_H23b zenon_H198 zenon_H19a zenon_H199 zenon_H83 zenon_H41 zenon_H3d zenon_H201 zenon_H202 zenon_H203 zenon_H47 zenon_H146 zenon_H54 zenon_H249 zenon_H1d zenon_H227 zenon_H7 zenon_H11c zenon_H11d zenon_H11e zenon_H131 zenon_H104 zenon_H106 zenon_H105 zenon_H134 zenon_H138 zenon_H14f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.02 apply (zenon_L91_); trivial. % 0.80/1.02 apply (zenon_L496_); trivial. % 0.80/1.02 apply (zenon_L286_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.02 apply (zenon_L497_); trivial. % 0.80/1.02 apply (zenon_L111_); trivial. % 0.80/1.02 (* end of lemma zenon_L536_ *) % 0.80/1.02 assert (zenon_L537_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a587)))/\((~(c2_1 (a587)))/\(~(c3_1 (a587))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((hskp21)\/((hskp22)\/(hskp23))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H10f zenon_H3d zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H14f zenon_H138 zenon_H134 zenon_H131 zenon_H7 zenon_H227 zenon_H1d zenon_H249 zenon_H146 zenon_H47 zenon_H203 zenon_H202 zenon_H201 zenon_H41 zenon_H83 zenon_H199 zenon_H19a zenon_H198 zenon_H23b zenon_H187 zenon_H213 zenon_H8b zenon_H1db zenon_H172 zenon_H180 zenon_H1cf zenon_H183 zenon_H174 zenon_H176 zenon_H189 zenon_Hf7 zenon_H24 zenon_H1fe zenon_H95 zenon_H15c zenon_Hb zenon_Hd zenon_H15e zenon_Hd6 zenon_H161 zenon_H2bf zenon_H160. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.02 apply (zenon_L84_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.02 apply (zenon_L482_); trivial. % 0.80/1.02 apply (zenon_L536_); trivial. % 0.80/1.02 apply (zenon_L492_); trivial. % 0.80/1.02 (* end of lemma zenon_L537_ *) % 0.80/1.02 assert (zenon_L538_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a544))) -> (c1_1 (a544)) -> (c0_1 (a544)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp13)) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H2bb zenon_H14f zenon_H180 zenon_H3d zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H1db zenon_H1fe zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H1cf zenon_H215 zenon_H214 zenon_H20b zenon_H20a zenon_H187 zenon_H213 zenon_H25 zenon_H1e3 zenon_He4 zenon_Hb3 zenon_H95. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.02 apply (zenon_L518_); trivial. % 0.80/1.02 apply (zenon_L516_); trivial. % 0.80/1.02 (* end of lemma zenon_L538_ *) % 0.80/1.02 assert (zenon_L539_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (ndr1_0) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H10 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H15c zenon_Ha3 zenon_H1 zenon_H1cf zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H169 | zenon_intro zenon_H181 ]. % 0.80/1.02 apply (zenon_L167_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_He6 | zenon_intro zenon_H3e ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H125 | zenon_intro zenon_H15d ]. % 0.80/1.02 apply (zenon_L135_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha4 ]. % 0.80/1.02 apply (zenon_L339_); trivial. % 0.80/1.02 exact (zenon_Ha3 zenon_Ha4). % 0.80/1.02 exact (zenon_H3d zenon_H3e). % 0.80/1.02 apply (zenon_L486_); trivial. % 0.80/1.02 (* end of lemma zenon_L539_ *) % 0.80/1.02 assert (zenon_L540_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (ndr1_0) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H14f zenon_H95 zenon_H8b zenon_H155 zenon_H154 zenon_H153 zenon_H1df zenon_H41 zenon_H47 zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H1db zenon_H180 zenon_H3d zenon_H183 zenon_H174 zenon_H176 zenon_H1cf zenon_Ha3 zenon_H15c zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H10 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H4d zenon_H2c0 zenon_Hf7. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.02 apply (zenon_L539_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.02 apply (zenon_L515_); trivial. % 0.80/1.02 apply (zenon_L346_); trivial. % 0.80/1.02 (* end of lemma zenon_L540_ *) % 0.80/1.02 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H2bb zenon_H161 zenon_Hd6 zenon_H15e zenon_H1d zenon_Hf0 zenon_Hf3 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H15c zenon_H1cf zenon_H1db zenon_H2c2 zenon_H203 zenon_H202 zenon_H201 zenon_H47 zenon_H41 zenon_H1df zenon_H8b zenon_H95 zenon_H14f zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H131 zenon_H11e zenon_H11d zenon_H11c zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.02 apply (zenon_L198_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.02 apply (zenon_L540_); trivial. % 0.80/1.02 apply (zenon_L128_); trivial. % 0.80/1.02 (* end of lemma zenon_L541_ *) % 0.80/1.02 assert (zenon_L542_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1b1 zenon_Hdd zenon_H1fe zenon_H227 zenon_H180 zenon_H3d zenon_H10f zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H131 zenon_H14f zenon_H95 zenon_H8b zenon_H1df zenon_H41 zenon_H47 zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H1db zenon_H1cf zenon_H15c zenon_H2c0 zenon_Hf7 zenon_Hf3 zenon_Hf0 zenon_H1d zenon_H15e zenon_Hd6 zenon_H161 zenon_H2bf zenon_H160. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.80/1.02 apply (zenon_L193_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.02 apply (zenon_L482_); trivial. % 0.80/1.02 apply (zenon_L541_); trivial. % 0.80/1.02 apply (zenon_L492_); trivial. % 0.80/1.02 (* end of lemma zenon_L542_ *) % 0.80/1.02 assert (zenon_L543_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (ndr1_0) -> (~(c1_1 (a571))) -> (~(c2_1 (a571))) -> (c0_1 (a571)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H10 zenon_H153 zenon_H154 zenon_H155 zenon_H1cf zenon_H1 zenon_H1c4 zenon_H1c2 zenon_Ha3 zenon_H15c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.80/1.02 apply (zenon_L340_); trivial. % 0.80/1.02 apply (zenon_L486_); trivial. % 0.80/1.02 (* end of lemma zenon_L543_ *) % 0.80/1.02 assert (zenon_L544_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c0_1 (a571)) -> (~(c2_1 (a571))) -> (~(c1_1 (a571))) -> (ndr1_0) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H54 zenon_H146 zenon_H15c zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H1cf zenon_H155 zenon_H154 zenon_H153 zenon_H10 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H4d zenon_H2c0 zenon_Hf7. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.02 apply (zenon_L543_); trivial. % 0.80/1.02 apply (zenon_L286_); trivial. % 0.80/1.02 (* end of lemma zenon_L544_ *) % 0.80/1.02 assert (zenon_L545_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H15e zenon_H1d zenon_H106 zenon_H105 zenon_H104 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1cf zenon_H1c4 zenon_H1c2 zenon_H15c zenon_H146 zenon_H54 zenon_H19a zenon_H199 zenon_H198 zenon_H1db zenon_H14f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.02 apply (zenon_L544_); trivial. % 0.80/1.02 apply (zenon_L111_); trivial. % 0.80/1.02 (* end of lemma zenon_L545_ *) % 0.80/1.02 assert (zenon_L546_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hdd zenon_H1d zenon_H227 zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H10 zenon_H95 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_Hf7 zenon_H2c0 zenon_H41 zenon_H3d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H1cf zenon_H1f6 zenon_H1db zenon_H8b zenon_H172 zenon_H180 zenon_H24 zenon_H1fe zenon_H2c2 zenon_H203 zenon_H202 zenon_H201 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H14f zenon_H2bf. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.02 apply (zenon_L482_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.80/1.02 apply (zenon_L203_); trivial. % 0.80/1.02 apply (zenon_L501_); trivial. % 0.80/1.02 apply (zenon_L487_); trivial. % 0.80/1.02 apply (zenon_L516_); trivial. % 0.80/1.02 apply (zenon_L492_); trivial. % 0.80/1.02 (* end of lemma zenon_L546_ *) % 0.80/1.02 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a551))/\((c3_1 (a551))/\(~(c0_1 (a551)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> (~(hskp4)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((hskp25)\/(hskp4))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1fd zenon_H1c1 zenon_H213 zenon_H187 zenon_H23b zenon_H249 zenon_Hdd zenon_H1d zenon_H227 zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H95 zenon_He4 zenon_H1e3 zenon_Hf7 zenon_H2c0 zenon_H41 zenon_H3d zenon_H1cf zenon_H1f6 zenon_H1db zenon_H8b zenon_H172 zenon_H180 zenon_H24 zenon_H1fe zenon_H2c2 zenon_H203 zenon_H202 zenon_H201 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H14f zenon_H2bf zenon_Hd6 zenon_H15e zenon_Ha5 zenon_H146 zenon_H83 zenon_H8a zenon_H194. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.80/1.02 apply (zenon_L546_); trivial. % 0.80/1.02 apply (zenon_L506_); trivial. % 0.80/1.02 apply (zenon_L511_); trivial. % 0.80/1.02 (* end of lemma zenon_L547_ *) % 0.80/1.02 assert (zenon_L548_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp31)) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1db zenon_H49 zenon_H13b zenon_Hf9 zenon_H1dd zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H9a zenon_H9b zenon_H9c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.80/1.02 apply (zenon_L182_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.80/1.02 apply (zenon_L217_); trivial. % 0.80/1.02 apply (zenon_L43_); trivial. % 0.80/1.02 (* end of lemma zenon_L548_ *) % 0.80/1.02 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (~(hskp24)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H81 zenon_H22d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H27. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H223 | zenon_intro zenon_H22e ]. % 0.80/1.02 apply (zenon_L483_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H126 | zenon_intro zenon_H28 ]. % 0.80/1.02 apply (zenon_L102_); trivial. % 0.80/1.02 exact (zenon_H27 zenon_H28). % 0.80/1.02 (* end of lemma zenon_L549_ *) % 0.80/1.02 assert (zenon_L550_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (ndr1_0) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H8c zenon_H22d zenon_H27 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1dd zenon_Hf9 zenon_H13b zenon_H9c zenon_H9b zenon_H9a zenon_H10 zenon_H201 zenon_H202 zenon_H203 zenon_H1db. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.80/1.02 apply (zenon_L548_); trivial. % 0.80/1.02 apply (zenon_L549_); trivial. % 0.80/1.02 (* end of lemma zenon_L550_ *) % 0.80/1.02 assert (zenon_L551_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H89 zenon_H8a zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H9a zenon_H9b zenon_H9c zenon_H13b zenon_Hf9 zenon_H1dd zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H22d zenon_H8c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/1.02 apply (zenon_L550_); trivial. % 0.80/1.02 apply (zenon_L364_); trivial. % 0.80/1.02 (* end of lemma zenon_L551_ *) % 0.80/1.02 assert (zenon_L552_ : ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (~(hskp24)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H22d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H198 zenon_H19a zenon_H199 zenon_H10 zenon_H58 zenon_H27. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H223 | zenon_intro zenon_H22e ]. % 0.80/1.02 apply (zenon_L483_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H126 | zenon_intro zenon_H28 ]. % 0.80/1.02 apply (zenon_L287_); trivial. % 0.80/1.02 exact (zenon_H27 zenon_H28). % 0.80/1.02 (* end of lemma zenon_L552_ *) % 0.80/1.02 assert (zenon_L553_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H89 zenon_H8a zenon_H22d zenon_H198 zenon_H19a zenon_H199 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H25e zenon_H25f zenon_H260 zenon_H275. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.80/1.02 apply (zenon_L552_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.80/1.02 apply (zenon_L68_); trivial. % 0.80/1.02 apply (zenon_L354_); trivial. % 0.80/1.02 apply (zenon_L364_); trivial. % 0.80/1.02 (* end of lemma zenon_L553_ *) % 0.80/1.02 assert (zenon_L554_ : ((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H165 zenon_Hd6 zenon_H281 zenon_H54 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H24 zenon_H15c zenon_Hb zenon_Hd zenon_H275 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H199 zenon_H19a zenon_H198 zenon_H22d zenon_H8a zenon_H95 zenon_H26c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.02 apply (zenon_L353_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.02 apply (zenon_L109_); trivial. % 0.80/1.02 apply (zenon_L553_); trivial. % 0.80/1.02 apply (zenon_L380_); trivial. % 0.80/1.02 (* end of lemma zenon_L554_ *) % 0.80/1.02 assert (zenon_L555_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H2bb zenon_H161 zenon_Hd6 zenon_H281 zenon_H15c zenon_H22d zenon_H8a zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H267 zenon_H25 zenon_H95 zenon_H275 zenon_H199 zenon_H19a zenon_H198 zenon_H1d9 zenon_Hd zenon_Hb zenon_H172 zenon_H4d zenon_H131 zenon_H11e zenon_H11d zenon_H11c zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180 zenon_H24 zenon_H146 zenon_H54 zenon_H1db zenon_H14f zenon_Hd7 zenon_H26c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.80/1.02 apply (zenon_L409_); trivial. % 0.80/1.02 apply (zenon_L554_); trivial. % 0.80/1.02 (* end of lemma zenon_L555_ *) % 0.80/1.02 assert (zenon_L556_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H269 zenon_H95 zenon_H8a zenon_H22d zenon_H198 zenon_H19a zenon_H199 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H275 zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H9a zenon_H9b zenon_H9c zenon_H1db zenon_H1fe. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.80/1.02 apply (zenon_L261_); trivial. % 0.80/1.02 apply (zenon_L553_); trivial. % 0.80/1.02 (* end of lemma zenon_L556_ *) % 0.80/1.02 assert (zenon_L557_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H2bb zenon_H26c zenon_H95 zenon_H8a zenon_H22d zenon_H198 zenon_H19a zenon_H199 zenon_H275 zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H9a zenon_H9b zenon_H9c zenon_H1db zenon_H1fe zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.80/1.02 apply (zenon_L353_); trivial. % 0.80/1.02 apply (zenon_L556_); trivial. % 0.80/1.02 (* end of lemma zenon_L557_ *) % 0.80/1.02 assert (zenon_L558_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c2_1 (a553))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hd5 zenon_H2bf zenon_H26c zenon_H95 zenon_H8a zenon_H22d zenon_H198 zenon_H19a zenon_H199 zenon_H275 zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1fe zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.80/1.02 apply (zenon_L482_); trivial. % 0.80/1.02 apply (zenon_L557_); trivial. % 0.80/1.02 (* end of lemma zenon_L558_ *) % 0.80/1.02 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> ((hskp26)\/((hskp7)\/(hskp22))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H18f zenon_H160 zenon_H2bf zenon_H161 zenon_Hd6 zenon_H281 zenon_H15c zenon_H22d zenon_H8a zenon_H267 zenon_H1d9 zenon_H131 zenon_Hd7 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H2a6 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H95 zenon_H275 zenon_H198 zenon_H199 zenon_H19a zenon_Hd zenon_Hb zenon_H172 zenon_H10f zenon_H3d zenon_H180 zenon_H24 zenon_H146 zenon_H54 zenon_H1db zenon_H14f zenon_H26c zenon_H1fe zenon_H203 zenon_H202 zenon_H201 zenon_H1e3 zenon_Hdd. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.02 apply (zenon_L406_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.02 apply (zenon_L482_); trivial. % 0.87/1.02 apply (zenon_L555_); trivial. % 0.87/1.02 apply (zenon_L558_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.02 apply (zenon_L84_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.02 apply (zenon_L482_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.02 apply (zenon_L353_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.02 apply (zenon_L138_); trivial. % 0.87/1.02 apply (zenon_L553_); trivial. % 0.87/1.02 apply (zenon_L554_); trivial. % 0.87/1.02 (* end of lemma zenon_L559_ *) % 0.87/1.02 assert (zenon_L560_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp12)) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp21)) -> (~(hskp29)) -> (ndr1_0) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp18)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H15c zenon_H4b zenon_H25e zenon_H25f zenon_H260 zenon_H22b zenon_H1 zenon_He2 zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1cf zenon_Ha3. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H125 | zenon_intro zenon_H15d ]. % 0.87/1.02 apply (zenon_L360_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha4 ]. % 0.87/1.02 apply (zenon_L339_); trivial. % 0.87/1.02 exact (zenon_Ha3 zenon_Ha4). % 0.87/1.02 (* end of lemma zenon_L560_ *) % 0.87/1.02 assert (zenon_L561_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp21)) -> (~(hskp12)) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(hskp18)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H22b zenon_H1 zenon_H4b zenon_H260 zenon_H25f zenon_H25e zenon_H10 zenon_H1cf zenon_H1c4 zenon_H1c2 zenon_Ha3 zenon_H15c. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.02 apply (zenon_L560_); trivial. % 0.87/1.02 apply (zenon_L486_); trivial. % 0.87/1.02 (* end of lemma zenon_L561_ *) % 0.87/1.02 assert (zenon_L562_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (~(hskp3)) -> (~(hskp18)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H14a zenon_H95 zenon_H8a zenon_H275 zenon_H260 zenon_H25f zenon_H25e zenon_H54 zenon_Ha3 zenon_Ha5 zenon_H180 zenon_H3d zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1db. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.02 apply (zenon_L515_); trivial. % 0.87/1.02 apply (zenon_L365_); trivial. % 0.87/1.02 (* end of lemma zenon_L562_ *) % 0.87/1.02 assert (zenon_L563_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(hskp3)) -> ((hskp3)\/((hskp24)\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a547))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H269 zenon_H14f zenon_H95 zenon_H8a zenon_H275 zenon_H54 zenon_Ha5 zenon_H180 zenon_H3d zenon_H1d1 zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H1db zenon_H15c zenon_Ha3 zenon_H1c2 zenon_H1c4 zenon_H1cf zenon_H4b zenon_H22b zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H4d zenon_H2c0 zenon_Hf7. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.02 apply (zenon_L561_); trivial. % 0.87/1.02 apply (zenon_L562_); trivial. % 0.87/1.02 (* end of lemma zenon_L563_ *) % 0.87/1.02 assert (zenon_L564_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c1_1 (a540))) -> (~(c2_1 (a540))) -> (c3_1 (a540)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(hskp30))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a567)) -> (c0_1 (a567)) -> (~(c2_1 (a567))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H2bb zenon_H161 zenon_Hd6 zenon_H26c zenon_H277 zenon_H250 zenon_H251 zenon_H252 zenon_H18b zenon_H25b zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H15c zenon_H1cf zenon_H1db zenon_H2c2 zenon_H203 zenon_H202 zenon_H201 zenon_H47 zenon_H41 zenon_H1df zenon_H8b zenon_H95 zenon_H14f zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H131 zenon_H11e zenon_H11d zenon_H11c zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.02 apply (zenon_L198_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.02 apply (zenon_L540_); trivial. % 0.87/1.02 apply (zenon_L368_); trivial. % 0.87/1.02 (* end of lemma zenon_L564_ *) % 0.87/1.02 assert (zenon_L565_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> (~(c0_1 (a547))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((hskp11)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_Hdd zenon_H10f zenon_H3d zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H180 zenon_H131 zenon_H1c4 zenon_H1c2 zenon_H1d1 zenon_H14f zenon_H95 zenon_H8b zenon_H1df zenon_H41 zenon_H47 zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H1db zenon_H1cf zenon_H15c zenon_H2c0 zenon_Hf7 zenon_H277 zenon_Hd6 zenon_H161 zenon_H2bf zenon_H160 zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H267 zenon_Hb3 zenon_H18d zenon_Hd7 zenon_H26c. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.02 apply (zenon_L358_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.02 apply (zenon_L84_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.02 apply (zenon_L482_); trivial. % 0.87/1.02 apply (zenon_L564_); trivial. % 0.87/1.02 apply (zenon_L382_); trivial. % 0.87/1.02 (* end of lemma zenon_L565_ *) % 0.87/1.02 assert (zenon_L566_ : ((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a547)) -> (~(c3_1 (a547))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H162 zenon_H2bf zenon_H161 zenon_Hd6 zenon_H277 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H1cf zenon_H1c4 zenon_H1c2 zenon_H15c zenon_H25b zenon_H18b zenon_H252 zenon_H251 zenon_H250 zenon_H131 zenon_H4b zenon_H22b zenon_H146 zenon_H19a zenon_H199 zenon_H198 zenon_H1db zenon_H14f zenon_H26c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.02 apply (zenon_L482_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.02 apply (zenon_L402_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.02 apply (zenon_L544_); trivial. % 0.87/1.02 apply (zenon_L368_); trivial. % 0.87/1.02 (* end of lemma zenon_L566_ *) % 0.87/1.02 assert (zenon_L567_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (ndr1_0) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H2bf zenon_Hd6 zenon_H281 zenon_H252 zenon_H251 zenon_H250 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H15c zenon_H1cf zenon_H176 zenon_H174 zenon_H183 zenon_H3d zenon_H180 zenon_H146 zenon_H19a zenon_H199 zenon_H198 zenon_H1db zenon_H14f zenon_H10 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.02 apply (zenon_L482_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.02 apply (zenon_L539_); trivial. % 0.87/1.02 apply (zenon_L286_); trivial. % 0.87/1.02 apply (zenon_L380_); trivial. % 0.87/1.02 (* end of lemma zenon_L567_ *) % 0.87/1.02 assert (zenon_L568_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a573)))/\((~(c1_1 (a573)))/\(~(c3_1 (a573))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp3))) -> (c3_1 (a540)) -> (~(c2_1 (a540))) -> (~(c1_1 (a540))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c0_1 (a547))) -> (~(c3_1 (a547))) -> (c2_1 (a547)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X58 : zenon_U, ((ndr1_0)->((c3_1 X58)\/((~(c1_1 X58))\/(~(c2_1 X58))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp15)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a562))/\((c2_1 (a562))/\(c3_1 (a562)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((~(c1_1 X40))\/(~(c3_1 X40))))))\/((hskp0)\/(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)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a571))/\((~(c1_1 (a571)))/\(~(c2_1 (a571))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a567))/\((c1_1 (a567))/\(~(c2_1 (a567))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H2bf zenon_Hd6 zenon_H281 zenon_H252 zenon_H251 zenon_H250 zenon_Hf7 zenon_H2c0 zenon_H1d1 zenon_H1c2 zenon_H1c4 zenon_H15c zenon_H1cf zenon_H3d zenon_H180 zenon_H146 zenon_H19a zenon_H199 zenon_H198 zenon_H1db zenon_H14f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6 zenon_H10f zenon_H131 zenon_H95 zenon_H8b zenon_H1df zenon_H41 zenon_H47 zenon_H1e3 zenon_H201 zenon_H202 zenon_H203 zenon_H1fe zenon_H25b zenon_H18b zenon_H277 zenon_H26c zenon_H161 zenon_H160 zenon_Hdd. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.02 apply (zenon_L567_); trivial. % 0.87/1.02 apply (zenon_L423_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.02 apply (zenon_L567_); trivial. % 0.87/1.02 apply (zenon_L382_); trivial. % 0.87/1.02 (* end of lemma zenon_L568_ *) % 0.87/1.02 assert (zenon_L569_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1c3 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6. % 0.87/1.02 generalize (zenon_H1c3 (a537)). zenon_intro zenon_H2c7. % 0.87/1.02 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_Hf | zenon_intro zenon_H2c8 ]. % 0.87/1.02 exact (zenon_Hf zenon_H10). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c9 ]. % 0.87/1.02 exact (zenon_H2c4 zenon_H2ca). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2cc | zenon_intro zenon_H2cb ]. % 0.87/1.02 exact (zenon_H2c5 zenon_H2cc). % 0.87/1.02 exact (zenon_H2cb zenon_H2c6). % 0.87/1.02 (* end of lemma zenon_L569_ *) % 0.87/1.02 assert (zenon_L570_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_He2 zenon_H1. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 0.87/1.02 apply (zenon_L569_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.87/1.02 exact (zenon_He2 zenon_He3). % 0.87/1.02 exact (zenon_H1 zenon_H2). % 0.87/1.02 (* end of lemma zenon_L570_ *) % 0.87/1.02 assert (zenon_L571_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hf7 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1 zenon_H1cf. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.02 apply (zenon_L570_); trivial. % 0.87/1.02 apply (zenon_L73_); trivial. % 0.87/1.02 (* end of lemma zenon_L571_ *) % 0.87/1.02 assert (zenon_L572_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a537))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (c2_1 (a537)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H140 zenon_H10 zenon_H2c4 zenon_H1d5 zenon_H2c6. % 0.87/1.02 generalize (zenon_H140 (a537)). zenon_intro zenon_H2cd. % 0.87/1.02 apply (zenon_imply_s _ _ zenon_H2cd); [ zenon_intro zenon_Hf | zenon_intro zenon_H2ce ]. % 0.87/1.02 exact (zenon_Hf zenon_H10). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2cf ]. % 0.87/1.02 exact (zenon_H2c4 zenon_H2ca). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2cb ]. % 0.87/1.02 generalize (zenon_H1d5 (a537)). zenon_intro zenon_H2d1. % 0.87/1.02 apply (zenon_imply_s _ _ zenon_H2d1); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d2 ]. % 0.87/1.02 exact (zenon_Hf zenon_H10). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H2d3 ]. % 0.87/1.02 exact (zenon_H2d0 zenon_H2d4). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2cb ]. % 0.87/1.02 exact (zenon_H2c4 zenon_H2ca). % 0.87/1.02 exact (zenon_H2cb zenon_H2c6). % 0.87/1.02 exact (zenon_H2cb zenon_H2c6). % 0.87/1.02 (* end of lemma zenon_L572_ *) % 0.87/1.02 assert (zenon_L573_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp14)) -> (~(hskp10)) -> (c2_1 (a582)) -> (c3_1 (a582)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1dd zenon_H4d zenon_Hf0 zenon_Hf9 zenon_Hfa zenon_Hf3 zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H10 zenon_H49. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.02 apply (zenon_L77_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.02 apply (zenon_L572_); trivial. % 0.87/1.02 exact (zenon_H49 zenon_H4a). % 0.87/1.02 (* end of lemma zenon_L573_ *) % 0.87/1.02 assert (zenon_L574_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1d9 zenon_H1dd zenon_H1db zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.02 apply (zenon_L571_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.02 apply (zenon_L573_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.02 apply (zenon_L77_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.02 apply (zenon_L96_); trivial. % 0.87/1.02 exact (zenon_H49 zenon_H4a). % 0.87/1.02 apply (zenon_L77_); trivial. % 0.87/1.02 apply (zenon_L178_); trivial. % 0.87/1.02 (* end of lemma zenon_L574_ *) % 0.87/1.02 assert (zenon_L575_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H140 zenon_H10 zenon_H2c4 zenon_Hb7 zenon_H2c5 zenon_H2c6. % 0.87/1.02 generalize (zenon_H140 (a537)). zenon_intro zenon_H2cd. % 0.87/1.02 apply (zenon_imply_s _ _ zenon_H2cd); [ zenon_intro zenon_Hf | zenon_intro zenon_H2ce ]. % 0.87/1.02 exact (zenon_Hf zenon_H10). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2cf ]. % 0.87/1.02 exact (zenon_H2c4 zenon_H2ca). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2cb ]. % 0.87/1.02 generalize (zenon_Hb7 (a537)). zenon_intro zenon_H2d5. % 0.87/1.02 apply (zenon_imply_s _ _ zenon_H2d5); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d6 ]. % 0.87/1.02 exact (zenon_Hf zenon_H10). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H2d7 ]. % 0.87/1.02 exact (zenon_H2d0 zenon_H2d4). % 0.87/1.02 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2cc ]. % 0.87/1.02 exact (zenon_H2c4 zenon_H2ca). % 0.87/1.02 exact (zenon_H2c5 zenon_H2cc). % 0.87/1.02 exact (zenon_H2cb zenon_H2c6). % 0.87/1.02 (* end of lemma zenon_L575_ *) % 0.87/1.02 assert (zenon_L576_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1dd zenon_H9c zenon_H9b zenon_H9a zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H10 zenon_H49. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.02 apply (zenon_L43_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.02 apply (zenon_L575_); trivial. % 0.87/1.02 exact (zenon_H49 zenon_H4a). % 0.87/1.02 (* end of lemma zenon_L576_ *) % 0.87/1.02 assert (zenon_L577_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp31)) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hc3 zenon_H49 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H9a zenon_H9b zenon_H9c zenon_H1dd zenon_Hc1 zenon_H7f. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.02 apply (zenon_L576_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.02 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.02 exact (zenon_H7f zenon_H80). % 0.87/1.02 (* end of lemma zenon_L577_ *) % 0.87/1.02 assert (zenon_L578_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (c0_1 (a552)) -> (c2_1 (a552)) -> (c3_1 (a552)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H81 zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_He7 zenon_He8 zenon_He9. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H1da ]. % 0.87/1.02 apply (zenon_L52_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H126 | zenon_intro zenon_He6 ]. % 0.87/1.02 apply (zenon_L102_); trivial. % 0.87/1.02 apply (zenon_L71_); trivial. % 0.87/1.02 (* end of lemma zenon_L578_ *) % 0.87/1.02 assert (zenon_L579_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp28)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hf7 zenon_H8c zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H1dd zenon_H9c zenon_H9b zenon_H9a zenon_Hc1 zenon_H7f zenon_Hc3 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1 zenon_H1cf. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.02 apply (zenon_L570_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.02 apply (zenon_L577_); trivial. % 0.87/1.02 apply (zenon_L578_); trivial. % 0.87/1.02 (* end of lemma zenon_L579_ *) % 0.87/1.02 assert (zenon_L580_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (~(hskp11)) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hce zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_Hb3. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H10. zenon_intro zenon_Hcf. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hc5. zenon_intro zenon_Hd0. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hb6 ]. % 0.87/1.02 apply (zenon_L52_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb4 ]. % 0.87/1.02 apply (zenon_L61_); trivial. % 0.87/1.02 exact (zenon_Hb3 zenon_Hb4). % 0.87/1.02 (* end of lemma zenon_L580_ *) % 0.87/1.02 assert (zenon_L581_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hd5 zenon_H1df zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H104 zenon_H105 zenon_H106. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.02 apply (zenon_L43_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.02 apply (zenon_L569_); trivial. % 0.87/1.02 apply (zenon_L82_); trivial. % 0.87/1.02 (* end of lemma zenon_L581_ *) % 0.87/1.02 assert (zenon_L582_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H195 zenon_Hdd zenon_Hf7 zenon_Hf3 zenon_Hf0 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1cf zenon_H1df zenon_H14f. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.02 apply (zenon_L571_); trivial. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.02 apply (zenon_L77_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.02 apply (zenon_L569_); trivial. % 0.87/1.02 apply (zenon_L82_); trivial. % 0.87/1.02 apply (zenon_L581_); trivial. % 0.87/1.02 (* end of lemma zenon_L582_ *) % 0.87/1.02 assert (zenon_L583_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H146 zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H62 zenon_H10 zenon_H54. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.87/1.02 apply (zenon_L575_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.87/1.02 apply (zenon_L152_); trivial. % 0.87/1.02 exact (zenon_H54 zenon_H55). % 0.87/1.02 (* end of lemma zenon_L583_ *) % 0.87/1.02 assert (zenon_L584_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1dd zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H146 zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H10 zenon_H49. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.02 apply (zenon_L583_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.02 apply (zenon_L575_); trivial. % 0.87/1.02 exact (zenon_H49 zenon_H4a). % 0.87/1.02 (* end of lemma zenon_L584_ *) % 0.87/1.02 assert (zenon_L585_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp31)) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hc3 zenon_H49 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H146 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54 zenon_H1dd zenon_Hc1 zenon_H7f. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.02 apply (zenon_L584_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.02 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.02 exact (zenon_H7f zenon_H80). % 0.87/1.02 (* end of lemma zenon_L585_ *) % 0.87/1.02 assert (zenon_L586_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c1_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a563)) -> (c1_1 (a563)) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H83 zenon_H5b zenon_H5a zenon_H59 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H2c4 zenon_Hb7 zenon_H2c5 zenon_H2c6 zenon_H146 zenon_H56 zenon_H74 zenon_H73 zenon_H10 zenon_H54 zenon_H29. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.87/1.02 apply (zenon_L32_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.87/1.02 apply (zenon_L583_); trivial. % 0.87/1.02 apply (zenon_L36_); trivial. % 0.87/1.02 (* end of lemma zenon_L586_ *) % 0.87/1.02 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp26)) -> (~(hskp14)) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hce zenon_H1f6 zenon_H9 zenon_H4d. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H10. zenon_intro zenon_Hcf. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hc5. zenon_intro zenon_Hd0. % 0.87/1.02 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H6c | zenon_intro zenon_H1f7 ]. % 0.87/1.02 apply (zenon_L61_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Ha | zenon_intro zenon_H4e ]. % 0.87/1.02 exact (zenon_H9 zenon_Ha). % 0.87/1.02 exact (zenon_H4d zenon_H4e). % 0.87/1.02 (* end of lemma zenon_L587_ *) % 0.87/1.02 assert (zenon_L588_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1f zenon_Hf7 zenon_H180 zenon_H3d zenon_H4d zenon_H172 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1 zenon_H1cf. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H10. zenon_intro zenon_H21. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.02 apply (zenon_L570_); trivial. % 0.87/1.02 apply (zenon_L212_); trivial. % 0.87/1.02 (* end of lemma zenon_L588_ *) % 0.87/1.02 assert (zenon_L589_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H81 zenon_H83 zenon_H5b zenon_H5a zenon_H59 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H146 zenon_H56 zenon_H54 zenon_H29. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.87/1.02 apply (zenon_L32_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.87/1.02 apply (zenon_L153_); trivial. % 0.87/1.02 apply (zenon_L36_); trivial. % 0.87/1.02 (* end of lemma zenon_L589_ *) % 0.87/1.02 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp20)) -> (~(hskp22)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H8f zenon_H8c zenon_H83 zenon_H29 zenon_H56 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H96 zenon_H3 zenon_H98. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.02 apply (zenon_L42_); trivial. % 0.87/1.02 apply (zenon_L589_); trivial. % 0.87/1.02 (* end of lemma zenon_L590_ *) % 0.87/1.02 assert (zenon_L591_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp20)) -> (~(hskp22)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H8a zenon_H8c zenon_H83 zenon_H56 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H96 zenon_H3 zenon_H98 zenon_H25 zenon_H29 zenon_H2b. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.02 apply (zenon_L17_); trivial. % 0.87/1.02 apply (zenon_L590_); trivial. % 0.87/1.02 (* end of lemma zenon_L591_ *) % 0.87/1.02 assert (zenon_L592_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.87/1.02 do 0 intro. intros zenon_H1dd zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H146 zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H10 zenon_H49. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.02 apply (zenon_L153_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.02 apply (zenon_L575_); trivial. % 0.87/1.02 exact (zenon_H49 zenon_H4a). % 0.87/1.02 (* end of lemma zenon_L592_ *) % 0.87/1.02 assert (zenon_L593_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp31)) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.87/1.02 do 0 intro. intros zenon_Hc3 zenon_H49 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H146 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54 zenon_H1dd zenon_Hc1 zenon_H7f. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.02 apply (zenon_L592_); trivial. % 0.87/1.02 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.02 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.02 exact (zenon_H7f zenon_H80). % 0.87/1.02 (* end of lemma zenon_L593_ *) % 0.87/1.02 assert (zenon_L594_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.87/1.02 do 0 intro. intros zenon_H14a zenon_H95 zenon_Hd1 zenon_H82 zenon_Hc3 zenon_H7f zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1dd zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H96 zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H56 zenon_H83 zenon_H8c zenon_H8a. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.02 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.03 apply (zenon_L591_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.03 apply (zenon_L17_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.03 apply (zenon_L593_); trivial. % 0.87/1.03 apply (zenon_L589_); trivial. % 0.87/1.03 apply (zenon_L62_); trivial. % 0.87/1.03 (* end of lemma zenon_L594_ *) % 0.87/1.03 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp28)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf2 zenon_H8c zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H1dd zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_Hc1 zenon_H7f zenon_Hc3. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.03 apply (zenon_L585_); trivial. % 0.87/1.03 apply (zenon_L578_); trivial. % 0.87/1.03 (* end of lemma zenon_L595_ *) % 0.87/1.03 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H81 zenon_H1db zenon_Haa zenon_Hab zenon_Hac zenon_H1d9 zenon_H146 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L174_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L176_); trivial. % 0.87/1.03 apply (zenon_L153_); trivial. % 0.87/1.03 (* end of lemma zenon_L596_ *) % 0.87/1.03 assert (zenon_L597_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp28)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H8c zenon_H1db zenon_Haa zenon_Hab zenon_Hac zenon_H1d9 zenon_H1dd zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_Hc1 zenon_H7f zenon_Hc3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.03 apply (zenon_L593_); trivial. % 0.87/1.03 apply (zenon_L596_); trivial. % 0.87/1.03 (* end of lemma zenon_L597_ *) % 0.87/1.03 assert (zenon_L598_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H14a zenon_Hd1 zenon_Hb5 zenon_Hb3 zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1dd zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H1db zenon_H8c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_L597_); trivial. % 0.87/1.03 apply (zenon_L580_); trivial. % 0.87/1.03 (* end of lemma zenon_L598_ *) % 0.87/1.03 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hda zenon_H14f zenon_H1db zenon_Hf7 zenon_H8c zenon_H1d9 zenon_H1dd zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H7f zenon_Hc3 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1cf zenon_Hb3 zenon_Hb5 zenon_Hd1. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.03 apply (zenon_L570_); trivial. % 0.87/1.03 apply (zenon_L595_); trivial. % 0.87/1.03 apply (zenon_L580_); trivial. % 0.87/1.03 apply (zenon_L598_); trivial. % 0.87/1.03 (* end of lemma zenon_L599_ *) % 0.87/1.03 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp12)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hce zenon_H229 zenon_H9c zenon_H9b zenon_H9a zenon_H4b. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H10. zenon_intro zenon_Hcf. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hc5. zenon_intro zenon_Hd0. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H62 | zenon_intro zenon_H22a ]. % 0.87/1.03 apply (zenon_L43_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H6c | zenon_intro zenon_H4c ]. % 0.87/1.03 apply (zenon_L61_); trivial. % 0.87/1.03 exact (zenon_H4b zenon_H4c). % 0.87/1.03 (* end of lemma zenon_L600_ *) % 0.87/1.03 assert (zenon_L601_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1df zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_Hb7 zenon_H146 zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_H104 zenon_H105 zenon_H106. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.03 apply (zenon_L583_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.03 apply (zenon_L569_); trivial. % 0.87/1.03 apply (zenon_L82_); trivial. % 0.87/1.03 (* end of lemma zenon_L601_ *) % 0.87/1.03 assert (zenon_L602_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> (~(hskp26)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd1 zenon_H1f6 zenon_H4d zenon_H9 zenon_H1df zenon_H106 zenon_H105 zenon_H104 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H7f zenon_Hc3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.03 apply (zenon_L601_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.03 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.03 exact (zenon_H7f zenon_H80). % 0.87/1.03 apply (zenon_L587_); trivial. % 0.87/1.03 (* end of lemma zenon_L602_ *) % 0.87/1.03 assert (zenon_L603_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H172 zenon_H1 zenon_H1cf zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_H104 zenon_H105 zenon_H106 zenon_H1df zenon_H4d zenon_H1f6 zenon_Hd1. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.03 apply (zenon_L602_); trivial. % 0.87/1.03 apply (zenon_L588_); trivial. % 0.87/1.03 (* end of lemma zenon_L603_ *) % 0.87/1.03 assert (zenon_L604_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H14a zenon_H1df zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H146 zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H104 zenon_H105 zenon_H106. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.03 apply (zenon_L153_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.03 apply (zenon_L569_); trivial. % 0.87/1.03 apply (zenon_L82_); trivial. % 0.87/1.03 (* end of lemma zenon_L604_ *) % 0.87/1.03 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H172 zenon_H1cf zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H1df zenon_H1f6 zenon_Hd1 zenon_H14f. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L603_); trivial. % 0.87/1.03 apply (zenon_L604_); trivial. % 0.87/1.03 apply (zenon_L581_); trivial. % 0.87/1.03 (* end of lemma zenon_L605_ *) % 0.87/1.03 assert (zenon_L606_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H103 zenon_H10 zenon_H2d8 zenon_H183 zenon_H176 zenon_H174. % 0.87/1.03 generalize (zenon_H103 (a564)). zenon_intro zenon_H17d. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_Hf | zenon_intro zenon_H17e ]. % 0.87/1.03 exact (zenon_Hf zenon_H10). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H175 | zenon_intro zenon_H17f ]. % 0.87/1.03 generalize (zenon_H2d8 (a564)). zenon_intro zenon_H2d9. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H2d9); [ zenon_intro zenon_Hf | zenon_intro zenon_H2da ]. % 0.87/1.03 exact (zenon_Hf zenon_H10). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H186 | zenon_intro zenon_H179 ]. % 0.87/1.03 exact (zenon_H183 zenon_H186). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 0.87/1.03 exact (zenon_H17c zenon_H175). % 0.87/1.03 exact (zenon_H17b zenon_H176). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ]. % 0.87/1.03 exact (zenon_H17a zenon_H174). % 0.87/1.03 exact (zenon_H17b zenon_H176). % 0.87/1.03 (* end of lemma zenon_L606_ *) % 0.87/1.03 assert (zenon_L607_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2db zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H174 zenon_H176 zenon_H183 zenon_H10 zenon_H103 zenon_H259. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H140 | zenon_intro zenon_H2dc ]. % 0.87/1.03 apply (zenon_L575_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H25a ]. % 0.87/1.03 apply (zenon_L606_); trivial. % 0.87/1.03 exact (zenon_H259 zenon_H25a). % 0.87/1.03 (* end of lemma zenon_L607_ *) % 0.87/1.03 assert (zenon_L608_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1df zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H146 zenon_H2db zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H174 zenon_H176 zenon_H183 zenon_H10 zenon_H259. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.03 apply (zenon_L583_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.03 apply (zenon_L569_); trivial. % 0.87/1.03 apply (zenon_L607_); trivial. % 0.87/1.03 (* end of lemma zenon_L608_ *) % 0.87/1.03 assert (zenon_L609_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hc3 zenon_H259 zenon_H10 zenon_H183 zenon_H176 zenon_H174 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H2db zenon_H146 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54 zenon_H1df zenon_Hc1 zenon_H7f. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.03 apply (zenon_L608_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.03 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.03 exact (zenon_H7f zenon_H80). % 0.87/1.03 (* end of lemma zenon_L609_ *) % 0.87/1.03 assert (zenon_L610_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2db zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H174 zenon_H176 zenon_H183 zenon_H10 zenon_H103 zenon_H259. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H140 | zenon_intro zenon_H2dc ]. % 0.87/1.03 apply (zenon_L572_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H25a ]. % 0.87/1.03 apply (zenon_L606_); trivial. % 0.87/1.03 exact (zenon_H259 zenon_H25a). % 0.87/1.03 (* end of lemma zenon_L610_ *) % 0.87/1.03 assert (zenon_L611_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c3_1 (a537))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1df zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H146 zenon_H2c5 zenon_H2db zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H174 zenon_H176 zenon_H183 zenon_H10 zenon_H259. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.03 apply (zenon_L153_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.03 apply (zenon_L569_); trivial. % 0.87/1.03 apply (zenon_L610_); trivial. % 0.87/1.03 (* end of lemma zenon_L611_ *) % 0.87/1.03 assert (zenon_L612_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a582))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1df zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H146 zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H2db zenon_Hf9 zenon_Hfa zenon_H43 zenon_H13b zenon_H174 zenon_H176 zenon_H183 zenon_H10 zenon_H259. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.03 apply (zenon_L153_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.03 apply (zenon_L569_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H140 | zenon_intro zenon_H2dc ]. % 0.87/1.03 apply (zenon_L96_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H25a ]. % 0.87/1.03 apply (zenon_L606_); trivial. % 0.87/1.03 exact (zenon_H259 zenon_H25a). % 0.87/1.03 (* end of lemma zenon_L612_ *) % 0.87/1.03 assert (zenon_L613_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp19)) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H14a zenon_H1db zenon_H259 zenon_H183 zenon_H176 zenon_H174 zenon_H2db zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1df zenon_H146 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L611_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L612_); trivial. % 0.87/1.03 apply (zenon_L153_); trivial. % 0.87/1.03 (* end of lemma zenon_L613_ *) % 0.87/1.03 assert (zenon_L614_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a590)) -> (~(c2_1 (a590))) -> (~(c0_1 (a590))) -> (~(hskp31)) -> (~(c1_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a576))) -> (~(c3_1 (a576))) -> (c0_1 (a576)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H275 zenon_H5b zenon_H5a zenon_H59 zenon_H49 zenon_H2c4 zenon_Hb7 zenon_H2c5 zenon_H2c6 zenon_H1a1 zenon_H1a3 zenon_H1dd zenon_H10 zenon_H25e zenon_H25f zenon_H260. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.87/1.03 apply (zenon_L32_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.03 apply (zenon_L384_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.03 apply (zenon_L575_); trivial. % 0.87/1.03 exact (zenon_H49 zenon_H4a). % 0.87/1.03 apply (zenon_L354_); trivial. % 0.87/1.03 (* end of lemma zenon_L614_ *) % 0.87/1.03 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> (~(hskp13)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hce zenon_H2dd zenon_H260 zenon_H25f zenon_H25e zenon_H25. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H10. zenon_intro zenon_Hcf. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hc5. zenon_intro zenon_Hd0. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hc6. zenon_intro zenon_Hc7. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H25d | zenon_intro zenon_H2de ]. % 0.87/1.03 apply (zenon_L354_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H6c | zenon_intro zenon_H26 ]. % 0.87/1.03 apply (zenon_L61_); trivial. % 0.87/1.03 exact (zenon_H25 zenon_H26). % 0.87/1.03 (* end of lemma zenon_L615_ *) % 0.87/1.03 assert (zenon_L616_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H14a zenon_Hd1 zenon_H2dd zenon_H25 zenon_H260 zenon_H25f zenon_H25e zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1dd zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H1db zenon_H8c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_L597_); trivial. % 0.87/1.03 apply (zenon_L615_); trivial. % 0.87/1.03 (* end of lemma zenon_L616_ *) % 0.87/1.03 assert (zenon_L617_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_H2dd zenon_H146 zenon_H54 zenon_H1a2 zenon_H1db zenon_H2b zenon_H29 zenon_Hf7 zenon_H8c zenon_H1d9 zenon_H275 zenon_H1a1 zenon_H1a3 zenon_H1dd zenon_H7f zenon_Hc3 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1cf zenon_Hb3 zenon_Hb5 zenon_Hd1 zenon_H8a zenon_H25 zenon_H267. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.03 apply (zenon_L355_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.03 apply (zenon_L17_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.03 apply (zenon_L570_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.03 apply (zenon_L614_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.03 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.03 exact (zenon_H7f zenon_H80). % 0.87/1.03 apply (zenon_L578_); trivial. % 0.87/1.03 apply (zenon_L580_); trivial. % 0.87/1.03 apply (zenon_L616_); trivial. % 0.87/1.03 (* end of lemma zenon_L617_ *) % 0.87/1.03 assert (zenon_L618_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1df zenon_H9c zenon_H9b zenon_H9a zenon_H2db zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H174 zenon_H176 zenon_H183 zenon_H10 zenon_H259. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.03 apply (zenon_L43_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.03 apply (zenon_L569_); trivial. % 0.87/1.03 apply (zenon_L607_); trivial. % 0.87/1.03 (* end of lemma zenon_L618_ *) % 0.87/1.03 assert (zenon_L619_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hc3 zenon_H259 zenon_H10 zenon_H183 zenon_H176 zenon_H174 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H2db zenon_H9a zenon_H9b zenon_H9c zenon_H1df zenon_Hc1 zenon_H7f. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.03 apply (zenon_L618_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.03 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.03 exact (zenon_H7f zenon_H80). % 0.87/1.03 (* end of lemma zenon_L619_ *) % 0.87/1.03 assert (zenon_L620_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H89 zenon_Hd1 zenon_H82 zenon_H54 zenon_H29 zenon_H56 zenon_H1df zenon_H183 zenon_H176 zenon_H174 zenon_H259 zenon_H2db zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H9c zenon_H9b zenon_H9a zenon_H7f zenon_Hc3. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_L619_); trivial. % 0.87/1.03 apply (zenon_L62_); trivial. % 0.87/1.03 (* end of lemma zenon_L620_ *) % 0.87/1.03 assert (zenon_L621_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H95 zenon_Hd1 zenon_H82 zenon_H1df zenon_H183 zenon_H176 zenon_H174 zenon_H259 zenon_H2db zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H7f zenon_Hc3 zenon_H2b zenon_H29 zenon_H25 zenon_H98 zenon_H96 zenon_H9a zenon_H9b zenon_H9c zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.03 apply (zenon_L45_); trivial. % 0.87/1.03 apply (zenon_L620_); trivial. % 0.87/1.03 (* end of lemma zenon_L621_ *) % 0.87/1.03 assert (zenon_L622_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd7 zenon_Hb5 zenon_Hb3 zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H9c zenon_H9b zenon_H9a zenon_H98 zenon_H25 zenon_H29 zenon_H2b zenon_Hc3 zenon_H7f zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H2db zenon_H259 zenon_H174 zenon_H176 zenon_H183 zenon_H1df zenon_H82 zenon_Hd1 zenon_H95. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.03 apply (zenon_L621_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_L619_); trivial. % 0.87/1.03 apply (zenon_L580_); trivial. % 0.87/1.03 (* end of lemma zenon_L622_ *) % 0.87/1.03 assert (zenon_L623_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H14f zenon_H95 zenon_Hb3 zenon_He4 zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1fe zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_Hf7. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L571_); trivial. % 0.87/1.03 apply (zenon_L259_); trivial. % 0.87/1.03 (* end of lemma zenon_L623_ *) % 0.87/1.03 assert (zenon_L624_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (c3_1 (a584)) -> (~(c0_1 (a584))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a584))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H146 zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H38 zenon_H2e zenon_H2d zenon_H30 zenon_H10 zenon_H54. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.87/1.03 apply (zenon_L572_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.87/1.03 apply (zenon_L29_); trivial. % 0.87/1.03 exact (zenon_H54 zenon_H55). % 0.87/1.03 (* end of lemma zenon_L624_ *) % 0.87/1.03 assert (zenon_L625_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c1_1 (a537))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp0)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H89 zenon_H47 zenon_H9c zenon_H9b zenon_H9a zenon_H146 zenon_H2c6 zenon_H2c4 zenon_H54 zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_H3d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L624_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L43_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 exact (zenon_H3d zenon_H3e). % 0.87/1.03 (* end of lemma zenon_L625_ *) % 0.87/1.03 assert (zenon_L626_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a537)) -> (~(c1_1 (a537))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd5 zenon_H95 zenon_H47 zenon_H3d zenon_H146 zenon_H54 zenon_H2c6 zenon_H2c4 zenon_H1e3 zenon_H25 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1fe. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.03 apply (zenon_L261_); trivial. % 0.87/1.03 apply (zenon_L625_); trivial. % 0.87/1.03 (* end of lemma zenon_L626_ *) % 0.87/1.03 assert (zenon_L627_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H146 zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H19a zenon_H199 zenon_H198 zenon_H10 zenon_H54. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.87/1.03 apply (zenon_L575_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.87/1.03 apply (zenon_L141_); trivial. % 0.87/1.03 exact (zenon_H54 zenon_H55). % 0.87/1.03 (* end of lemma zenon_L627_ *) % 0.87/1.03 assert (zenon_L628_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> (~(hskp26)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd1 zenon_H1f6 zenon_H4d zenon_H9 zenon_H146 zenon_H54 zenon_H19a zenon_H199 zenon_H198 zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_H7f zenon_Hc3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.03 apply (zenon_L627_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.03 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.03 exact (zenon_H7f zenon_H80). % 0.87/1.03 apply (zenon_L587_); trivial. % 0.87/1.03 (* end of lemma zenon_L628_ *) % 0.87/1.03 assert (zenon_L629_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H14f zenon_H1db zenon_Hd1 zenon_H1f6 zenon_H4d zenon_H146 zenon_H54 zenon_H19a zenon_H199 zenon_H198 zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_H7f zenon_Hc3 zenon_H1cf zenon_H172 zenon_H3d zenon_H180 zenon_Hf7 zenon_H24. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.03 apply (zenon_L628_); trivial. % 0.87/1.03 apply (zenon_L588_); trivial. % 0.87/1.03 apply (zenon_L286_); trivial. % 0.87/1.03 (* end of lemma zenon_L629_ *) % 0.87/1.03 assert (zenon_L630_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H146 zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H19a zenon_H199 zenon_H198 zenon_H10 zenon_H54. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.87/1.03 apply (zenon_L572_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.87/1.03 apply (zenon_L141_); trivial. % 0.87/1.03 exact (zenon_H54 zenon_H55). % 0.87/1.03 (* end of lemma zenon_L630_ *) % 0.87/1.03 assert (zenon_L631_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(c1_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd5 zenon_H1db zenon_H54 zenon_H198 zenon_H199 zenon_H19a zenon_H2c4 zenon_H2c6 zenon_H146 zenon_H203 zenon_H202 zenon_H201. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L630_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L43_); trivial. % 0.87/1.03 (* end of lemma zenon_L631_ *) % 0.87/1.03 assert (zenon_L632_ : ((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1be zenon_Hdd zenon_H203 zenon_H202 zenon_H201 zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H172 zenon_H1cf zenon_Hc3 zenon_H7f zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H54 zenon_H146 zenon_H1f6 zenon_Hd1 zenon_H1db zenon_H14f. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.03 apply (zenon_L629_); trivial. % 0.87/1.03 apply (zenon_L631_); trivial. % 0.87/1.03 (* end of lemma zenon_L632_ *) % 0.87/1.03 assert (zenon_L633_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a594)) -> (~(c1_1 (a594))) -> (~(c0_1 (a594))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1db zenon_H1e7 zenon_H1e6 zenon_H1e5 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H10 zenon_H54. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L204_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L583_); trivial. % 0.87/1.03 (* end of lemma zenon_L633_ *) % 0.87/1.03 assert (zenon_L634_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (~(c0_1 (a594))) -> (~(c1_1 (a594))) -> (c2_1 (a594)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hc3 zenon_H54 zenon_H10 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H146 zenon_H201 zenon_H202 zenon_H203 zenon_H1e5 zenon_H1e6 zenon_H1e7 zenon_H1db zenon_Hc1 zenon_H7f. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.03 apply (zenon_L633_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.03 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.03 exact (zenon_H7f zenon_H80). % 0.87/1.03 (* end of lemma zenon_L634_ *) % 0.87/1.03 assert (zenon_L635_ : ((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1fa zenon_H24 zenon_Hf7 zenon_H180 zenon_H3d zenon_H172 zenon_H1 zenon_H1cf zenon_Hc3 zenon_H7f zenon_H201 zenon_H202 zenon_H203 zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H1db zenon_H4d zenon_H1f6 zenon_Hd1. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_L634_); trivial. % 0.87/1.03 apply (zenon_L587_); trivial. % 0.87/1.03 apply (zenon_L588_); trivial. % 0.87/1.03 (* end of lemma zenon_L635_ *) % 0.87/1.03 assert (zenon_L636_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a584))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a584))) -> (c3_1 (a584)) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1db zenon_H30 zenon_H2d zenon_H2e zenon_H38 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H10 zenon_H54. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L624_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L583_); trivial. % 0.87/1.03 (* end of lemma zenon_L636_ *) % 0.87/1.03 assert (zenon_L637_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> (~(hskp26)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a584)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c2_1 (a537)) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(c3_1 (a537))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd1 zenon_H1f6 zenon_H4d zenon_H9 zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H38 zenon_H2e zenon_H30 zenon_H2c6 zenon_H2c4 zenon_H10 zenon_H201 zenon_H202 zenon_H203 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c5 zenon_H1db zenon_H3d zenon_H47. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H2d | zenon_intro zenon_H48 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.03 apply (zenon_L636_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.03 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.03 exact (zenon_H7f zenon_H80). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H43 | zenon_intro zenon_H3e ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 exact (zenon_H3d zenon_H3e). % 0.87/1.03 apply (zenon_L587_); trivial. % 0.87/1.03 (* end of lemma zenon_L637_ *) % 0.87/1.03 assert (zenon_L638_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c3_1 (a537))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c1_1 (a537))) -> (c2_1 (a537)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H89 zenon_H24 zenon_Hf7 zenon_H180 zenon_H172 zenon_H1 zenon_H1cf zenon_H47 zenon_H3d zenon_H1db zenon_H2c5 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H203 zenon_H202 zenon_H201 zenon_H2c4 zenon_H2c6 zenon_H54 zenon_H146 zenon_H7f zenon_Hc3 zenon_H4d zenon_H1f6 zenon_Hd1. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.03 apply (zenon_L637_); trivial. % 0.87/1.03 apply (zenon_L588_); trivial. % 0.87/1.03 (* end of lemma zenon_L638_ *) % 0.87/1.03 assert (zenon_L639_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp13)\/((hskp25)\/(hskp22))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a594))/\((~(c0_1 (a594)))/\(~(c1_1 (a594))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H95 zenon_H47 zenon_H1e3 zenon_H25 zenon_Hd1 zenon_H1f6 zenon_H4d zenon_H1db zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H203 zenon_H202 zenon_H201 zenon_H7f zenon_Hc3 zenon_H1cf zenon_H1 zenon_H172 zenon_H3d zenon_H180 zenon_Hf7 zenon_H24 zenon_H1fe. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.87/1.03 apply (zenon_L203_); trivial. % 0.87/1.03 apply (zenon_L635_); trivial. % 0.87/1.03 apply (zenon_L638_); trivial. % 0.87/1.03 (* end of lemma zenon_L639_ *) % 0.87/1.03 assert (zenon_L640_ : (forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2d8 zenon_H10 zenon_H13b zenon_Hf9 zenon_Hfa. % 0.87/1.03 generalize (zenon_H2d8 (a582)). zenon_intro zenon_H2df. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_Hf | zenon_intro zenon_H2e0 ]. % 0.87/1.03 exact (zenon_Hf zenon_H10). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H13f | zenon_intro zenon_Hfd ]. % 0.87/1.03 exact (zenon_H13b zenon_H13f). % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.87/1.03 exact (zenon_H100 zenon_Hf9). % 0.87/1.03 exact (zenon_Hff zenon_Hfa). % 0.87/1.03 (* end of lemma zenon_L640_ *) % 0.87/1.03 assert (zenon_L641_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp19)) -> (~(c1_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H14a zenon_H1db zenon_H259 zenon_H2c4 zenon_H2c6 zenon_H2db zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H140 | zenon_intro zenon_H2dc ]. % 0.87/1.03 apply (zenon_L572_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H25a ]. % 0.87/1.03 apply (zenon_L640_); trivial. % 0.87/1.03 exact (zenon_H259 zenon_H25a). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L153_); trivial. % 0.87/1.03 (* end of lemma zenon_L641_ *) % 0.87/1.03 assert (zenon_L642_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23)))))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1dd zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H58 zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H10 zenon_H49. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.03 apply (zenon_L413_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.03 apply (zenon_L572_); trivial. % 0.87/1.03 exact (zenon_H49 zenon_H4a). % 0.87/1.03 (* end of lemma zenon_L642_ *) % 0.87/1.03 assert (zenon_L643_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1dd zenon_H1a3 zenon_H1a1 zenon_Hde zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H10 zenon_H49. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.03 apply (zenon_L384_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.03 apply (zenon_L572_); trivial. % 0.87/1.03 exact (zenon_H49 zenon_H4a). % 0.87/1.03 (* end of lemma zenon_L643_ *) % 0.87/1.03 assert (zenon_L644_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c0_1 (a576)) -> (~(c3_1 (a576))) -> (~(c1_1 (a576))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp31)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a537))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1db zenon_H260 zenon_H25f zenon_H25e zenon_H1dd zenon_H49 zenon_H275 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H2c6 zenon_H2c5 zenon_Hb7 zenon_H2c4 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H10 zenon_H54. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.87/1.03 apply (zenon_L642_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.87/1.03 apply (zenon_L643_); trivial. % 0.87/1.03 apply (zenon_L354_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L583_); trivial. % 0.87/1.03 (* end of lemma zenon_L644_ *) % 0.87/1.03 assert (zenon_L645_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c3_1 (a604))))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_H2dd zenon_Hd1 zenon_H1f6 zenon_H4d zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_Hc3 zenon_H7f zenon_H275 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H1dd zenon_H201 zenon_H202 zenon_H203 zenon_H146 zenon_H54 zenon_H1db zenon_H1d9 zenon_H8c zenon_Hf7 zenon_H172 zenon_H3d zenon_H180 zenon_H24 zenon_H25 zenon_H267. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.03 apply (zenon_L355_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.03 apply (zenon_L570_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.03 apply (zenon_L644_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.03 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.03 exact (zenon_H7f zenon_H80). % 0.87/1.03 apply (zenon_L578_); trivial. % 0.87/1.03 apply (zenon_L587_); trivial. % 0.87/1.03 apply (zenon_L588_); trivial. % 0.87/1.03 apply (zenon_L616_); trivial. % 0.87/1.03 (* end of lemma zenon_L645_ *) % 0.87/1.03 assert (zenon_L646_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1df zenon_H1a3 zenon_H1a1 zenon_Hde zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_H104 zenon_H105 zenon_H106. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.03 apply (zenon_L384_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.03 apply (zenon_L569_); trivial. % 0.87/1.03 apply (zenon_L82_); trivial. % 0.87/1.03 (* end of lemma zenon_L646_ *) % 0.87/1.03 assert (zenon_L647_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> (c1_1 (a551)) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H269 zenon_H275 zenon_H1a2 zenon_H106 zenon_H105 zenon_H104 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1a1 zenon_H1a3 zenon_H1df. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H58 | zenon_intro zenon_H276 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.03 apply (zenon_L413_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.03 apply (zenon_L569_); trivial. % 0.87/1.03 apply (zenon_L82_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_Hde | zenon_intro zenon_H25d ]. % 0.87/1.03 apply (zenon_L646_); trivial. % 0.87/1.03 apply (zenon_L354_); trivial. % 0.87/1.03 (* end of lemma zenon_L647_ *) % 0.87/1.03 assert (zenon_L648_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf7 zenon_H295 zenon_H28e zenon_H28d zenon_H28c zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1 zenon_H1cf. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.03 apply (zenon_L570_); trivial. % 0.87/1.03 apply (zenon_L443_); trivial. % 0.87/1.03 (* end of lemma zenon_L648_ *) % 0.87/1.03 assert (zenon_L649_ : ((ndr1_0)/\((c0_1 (a539))/\((~(c2_1 (a539)))/\(~(c3_1 (a539)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2e1 zenon_H14f zenon_H1db zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H295 zenon_Hf7. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H10. zenon_intro zenon_H2e2. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H28e. zenon_intro zenon_H2e3. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H28c. zenon_intro zenon_H28d. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L648_); trivial. % 0.87/1.03 apply (zenon_L440_); trivial. % 0.87/1.03 (* end of lemma zenon_L649_ *) % 0.87/1.03 assert (zenon_L650_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1 zenon_H1cf. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.03 apply (zenon_L570_); trivial. % 0.87/1.03 apply (zenon_L486_); trivial. % 0.87/1.03 (* end of lemma zenon_L650_ *) % 0.87/1.03 assert (zenon_L651_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2c2 zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H10 zenon_H3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H140 | zenon_intro zenon_H2c3 ]. % 0.87/1.03 apply (zenon_L572_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H223 | zenon_intro zenon_H4 ]. % 0.87/1.03 apply (zenon_L483_); trivial. % 0.87/1.03 exact (zenon_H3 zenon_H4). % 0.87/1.03 (* end of lemma zenon_L651_ *) % 0.87/1.03 assert (zenon_L652_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2bb zenon_H14f zenon_H95 zenon_Hf3 zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H2c2 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H4d zenon_H2c0 zenon_Hf7. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L650_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L651_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L514_); trivial. % 0.87/1.03 apply (zenon_L80_); trivial. % 0.87/1.03 (* end of lemma zenon_L652_ *) % 0.87/1.03 assert (zenon_L653_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (ndr1_0) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2bf zenon_H14f zenon_H95 zenon_Hf3 zenon_Hf0 zenon_Hb3 zenon_He4 zenon_H2c2 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H4d zenon_H2c0 zenon_Hf7 zenon_H10 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.03 apply (zenon_L482_); trivial. % 0.87/1.03 apply (zenon_L652_); trivial. % 0.87/1.03 (* end of lemma zenon_L653_ *) % 0.87/1.03 assert (zenon_L654_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c2_1 (a537)) -> (~(c1_1 (a537))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2bb zenon_H95 zenon_H47 zenon_H3d zenon_H146 zenon_H54 zenon_H2c2 zenon_H2c6 zenon_H2c4 zenon_H201 zenon_H202 zenon_H203 zenon_H9a zenon_H9b zenon_H9c zenon_H1db. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L651_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L43_); trivial. % 0.87/1.03 apply (zenon_L625_); trivial. % 0.87/1.03 (* end of lemma zenon_L654_ *) % 0.87/1.03 assert (zenon_L655_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c2_1 (a537)) -> (~(c1_1 (a537))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hd5 zenon_H2bf zenon_H95 zenon_H47 zenon_H3d zenon_H146 zenon_H2c2 zenon_H2c6 zenon_H2c4 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.03 apply (zenon_L482_); trivial. % 0.87/1.03 apply (zenon_L654_); trivial. % 0.87/1.03 (* end of lemma zenon_L655_ *) % 0.87/1.03 assert (zenon_L656_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2bb zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H54 zenon_H146 zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H4d zenon_H2c0 zenon_Hf7. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L650_); trivial. % 0.87/1.03 apply (zenon_L286_); trivial. % 0.87/1.03 (* end of lemma zenon_L656_ *) % 0.87/1.03 assert (zenon_L657_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (ndr1_0) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2bf zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H146 zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H4d zenon_H2c0 zenon_Hf7 zenon_H10 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.03 apply (zenon_L482_); trivial. % 0.87/1.03 apply (zenon_L656_); trivial. % 0.87/1.03 (* end of lemma zenon_L657_ *) % 0.87/1.03 assert (zenon_L658_ : ((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H1be zenon_Hdd zenon_H203 zenon_H202 zenon_H201 zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hf7 zenon_H2c0 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1cf zenon_H146 zenon_H1db zenon_H14f zenon_H2bf. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.03 apply (zenon_L657_); trivial. % 0.87/1.03 apply (zenon_L631_); trivial. % 0.87/1.03 (* end of lemma zenon_L658_ *) % 0.87/1.03 assert (zenon_L659_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a582))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H81 zenon_H1db zenon_H13b zenon_H203 zenon_H202 zenon_H201 zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_Hf9 zenon_Hfa. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_L174_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L177_); trivial. % 0.87/1.03 (* end of lemma zenon_L659_ *) % 0.87/1.03 assert (zenon_L660_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_Hda zenon_H14f zenon_H95 zenon_Hb3 zenon_He4 zenon_H1db zenon_H2c2 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1dd zenon_H1d9 zenon_H8c zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H4d zenon_H2c0 zenon_Hf7. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.03 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L650_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.03 apply (zenon_L153_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.03 apply (zenon_L572_); trivial. % 0.87/1.03 exact (zenon_H49 zenon_H4a). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.03 apply (zenon_L217_); trivial. % 0.87/1.03 apply (zenon_L514_); trivial. % 0.87/1.03 apply (zenon_L659_); trivial. % 0.87/1.03 apply (zenon_L487_); trivial. % 0.87/1.03 (* end of lemma zenon_L660_ *) % 0.87/1.03 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_H95 zenon_Hb3 zenon_He4 zenon_H1db zenon_H2c2 zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1dd zenon_H1d9 zenon_H8c zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H4d zenon_H2c0 zenon_Hf7 zenon_H25 zenon_H267. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.03 apply (zenon_L355_); trivial. % 0.87/1.03 apply (zenon_L660_); trivial. % 0.87/1.03 (* end of lemma zenon_L661_ *) % 0.87/1.03 assert (zenon_L662_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2bb zenon_H26c zenon_Hd7 zenon_H95 zenon_Hb3 zenon_He4 zenon_H2c2 zenon_H1dd zenon_H1d9 zenon_H8c zenon_H25 zenon_H267 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1cf zenon_H2db zenon_H201 zenon_H202 zenon_H203 zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1db zenon_H14f. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L650_); trivial. % 0.87/1.03 apply (zenon_L641_); trivial. % 0.87/1.03 apply (zenon_L661_); trivial. % 0.87/1.03 (* end of lemma zenon_L662_ *) % 0.87/1.03 assert (zenon_L663_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(hskp14)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2bb zenon_H14f zenon_H1df zenon_H106 zenon_H105 zenon_H104 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H4d zenon_H2c0 zenon_Hf7. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L650_); trivial. % 0.87/1.03 apply (zenon_L604_); trivial. % 0.87/1.03 (* end of lemma zenon_L663_ *) % 0.87/1.03 assert (zenon_L664_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> (~(hskp3)) -> (~(c3_1 (a538))) -> (~(c2_1 (a538))) -> (~(c1_1 (a538))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H2a6 zenon_H54 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hf7 zenon_H2c0 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1cf zenon_H146 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1df zenon_H14f zenon_H2bf. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.03 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.03 apply (zenon_L482_); trivial. % 0.87/1.03 apply (zenon_L663_); trivial. % 0.87/1.03 apply (zenon_L581_); trivial. % 0.87/1.03 (* end of lemma zenon_L664_ *) % 0.87/1.03 assert (zenon_L665_ : (forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H168 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 0.87/1.03 generalize (zenon_H168 (a536)). zenon_intro zenon_H2e7. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H2e7); [ zenon_intro zenon_Hf | zenon_intro zenon_H2e8 ]. % 0.87/1.03 exact (zenon_Hf zenon_H10). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2e9 ]. % 0.87/1.03 exact (zenon_H2e4 zenon_H2ea). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H2ec | zenon_intro zenon_H2eb ]. % 0.87/1.03 exact (zenon_H2ec zenon_H2e5). % 0.87/1.03 exact (zenon_H2eb zenon_H2e6). % 0.87/1.03 (* end of lemma zenon_L665_ *) % 0.87/1.03 assert (zenon_L666_ : ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp21)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H22b zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_H4b zenon_H1. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H168 | zenon_intro zenon_H22c ]. % 0.87/1.03 apply (zenon_L665_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H4c | zenon_intro zenon_H2 ]. % 0.87/1.03 exact (zenon_H4b zenon_H4c). % 0.87/1.03 exact (zenon_H1 zenon_H2). % 0.87/1.03 (* end of lemma zenon_L666_ *) % 0.87/1.03 assert (zenon_L667_ : (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (c0_1 (a536)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c2_1 (a536)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H6c zenon_H10 zenon_H2e5 zenon_H140 zenon_H2e6. % 0.87/1.03 generalize (zenon_H6c (a536)). zenon_intro zenon_H2ed. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H2ed); [ zenon_intro zenon_Hf | zenon_intro zenon_H2ee ]. % 0.87/1.03 exact (zenon_Hf zenon_H10). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2ec | zenon_intro zenon_H2ef ]. % 0.87/1.03 exact (zenon_H2ec zenon_H2e5). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2f0 | zenon_intro zenon_H2eb ]. % 0.87/1.03 generalize (zenon_H140 (a536)). zenon_intro zenon_H2f1. % 0.87/1.03 apply (zenon_imply_s _ _ zenon_H2f1); [ zenon_intro zenon_Hf | zenon_intro zenon_H2f2 ]. % 0.87/1.03 exact (zenon_Hf zenon_H10). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2e9 ]. % 0.87/1.03 exact (zenon_H2f0 zenon_H2f3). % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H2ec | zenon_intro zenon_H2eb ]. % 0.87/1.03 exact (zenon_H2ec zenon_H2e5). % 0.87/1.03 exact (zenon_H2eb zenon_H2e6). % 0.87/1.03 exact (zenon_H2eb zenon_H2e6). % 0.87/1.03 (* end of lemma zenon_L667_ *) % 0.87/1.03 assert (zenon_L668_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.87/1.03 do 0 intro. intros zenon_H2db zenon_H2e6 zenon_H2e5 zenon_H6c zenon_Hfa zenon_Hf9 zenon_H13b zenon_H10 zenon_H259. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H140 | zenon_intro zenon_H2dc ]. % 0.87/1.03 apply (zenon_L667_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H25a ]. % 0.87/1.03 apply (zenon_L640_); trivial. % 0.87/1.03 exact (zenon_H259 zenon_H25a). % 0.87/1.03 (* end of lemma zenon_L668_ *) % 0.87/1.03 assert (zenon_L669_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> False). % 0.87/1.03 do 0 intro. intros zenon_H14f zenon_H229 zenon_H259 zenon_H2db zenon_Hf0 zenon_H4d zenon_Hf3 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4b zenon_H22b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.03 apply (zenon_L666_); trivial. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.03 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H62 | zenon_intro zenon_H22a ]. % 0.87/1.03 apply (zenon_L77_); trivial. % 0.87/1.03 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H6c | zenon_intro zenon_H4c ]. % 0.87/1.03 apply (zenon_L668_); trivial. % 0.87/1.03 exact (zenon_H4b zenon_H4c). % 0.87/1.03 (* end of lemma zenon_L669_ *) % 0.87/1.03 assert (zenon_L670_ : ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp21)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H172 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_H4d zenon_H1. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H168 | zenon_intro zenon_H173 ]. % 0.87/1.04 apply (zenon_L665_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H4e | zenon_intro zenon_H2 ]. % 0.87/1.04 exact (zenon_H4d zenon_H4e). % 0.87/1.04 exact (zenon_H1 zenon_H2). % 0.87/1.04 (* end of lemma zenon_L670_ *) % 0.87/1.04 assert (zenon_L671_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (~(hskp31)) -> (ndr1_0) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp11)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_H49 zenon_H10 zenon_H2e5 zenon_H2e6 zenon_Hf3 zenon_Hfa zenon_Hf9 zenon_Hf0 zenon_H4d zenon_H1dd zenon_Hb3. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hb6 ]. % 0.87/1.04 apply (zenon_L52_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb4 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.04 apply (zenon_L77_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.04 apply (zenon_L667_); trivial. % 0.87/1.04 exact (zenon_H49 zenon_H4a). % 0.87/1.04 exact (zenon_Hb3 zenon_Hb4). % 0.87/1.04 (* end of lemma zenon_L671_ *) % 0.87/1.04 assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1db zenon_H1d9 zenon_H1dd zenon_Hf0 zenon_Hf3 zenon_Hb3 zenon_Hb5 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L671_); trivial. % 0.87/1.04 apply (zenon_L178_); trivial. % 0.87/1.04 (* end of lemma zenon_L672_ *) % 0.87/1.04 assert (zenon_L673_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_H8c zenon_H1db zenon_H1d9 zenon_H1dd zenon_Hf0 zenon_Hf3 zenon_Hb3 zenon_Hb5 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172 zenon_H25 zenon_H267. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_L672_); trivial. % 0.87/1.04 (* end of lemma zenon_L673_ *) % 0.87/1.04 assert (zenon_L674_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp14)) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H26c zenon_Hd7 zenon_H8c zenon_H1db zenon_H1d9 zenon_H1dd zenon_Hb3 zenon_Hb5 zenon_H172 zenon_H25 zenon_H267 zenon_H22b zenon_H4b zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_Hf3 zenon_H4d zenon_Hf0 zenon_H2db zenon_H229 zenon_H14f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L669_); trivial. % 0.87/1.04 apply (zenon_L673_); trivial. % 0.87/1.04 (* end of lemma zenon_L674_ *) % 0.87/1.04 assert (zenon_L675_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14f zenon_H229 zenon_H259 zenon_H2db zenon_H9c zenon_H9b zenon_H9a zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4b zenon_H22b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L666_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H62 | zenon_intro zenon_H22a ]. % 0.87/1.04 apply (zenon_L43_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H6c | zenon_intro zenon_H4c ]. % 0.87/1.04 apply (zenon_L668_); trivial. % 0.87/1.04 exact (zenon_H4b zenon_H4c). % 0.87/1.04 (* end of lemma zenon_L675_ *) % 0.87/1.04 assert (zenon_L676_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (~(hskp31)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1dd zenon_H9c zenon_H9b zenon_H9a zenon_H2e6 zenon_H2e5 zenon_H10 zenon_H6c zenon_H49. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.04 apply (zenon_L43_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.04 apply (zenon_L667_); trivial. % 0.87/1.04 exact (zenon_H49 zenon_H4a). % 0.87/1.04 (* end of lemma zenon_L676_ *) % 0.87/1.04 assert (zenon_L677_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (~(hskp31)) -> (ndr1_0) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp11)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_H49 zenon_H10 zenon_H2e5 zenon_H2e6 zenon_H9a zenon_H9b zenon_H9c zenon_H1dd zenon_Hb3. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hb6 ]. % 0.87/1.04 apply (zenon_L52_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb4 ]. % 0.87/1.04 apply (zenon_L676_); trivial. % 0.87/1.04 exact (zenon_Hb3 zenon_Hb4). % 0.87/1.04 (* end of lemma zenon_L677_ *) % 0.87/1.04 assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H8f zenon_H8c zenon_H83 zenon_H54 zenon_H29 zenon_H56 zenon_Haa zenon_Hab zenon_Hac zenon_H1dd zenon_H2e6 zenon_H2e5 zenon_H9c zenon_H9b zenon_H9a zenon_Hb3 zenon_Hb5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L677_); trivial. % 0.87/1.04 apply (zenon_L44_); trivial. % 0.87/1.04 (* end of lemma zenon_L678_ *) % 0.87/1.04 assert (zenon_L679_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H1dd zenon_H2e6 zenon_H2e5 zenon_H9c zenon_H9b zenon_H9a zenon_Hb3 zenon_Hb5 zenon_H25 zenon_H29 zenon_H2b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.04 apply (zenon_L17_); trivial. % 0.87/1.04 apply (zenon_L678_); trivial. % 0.87/1.04 (* end of lemma zenon_L679_ *) % 0.87/1.04 assert (zenon_L680_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H1dd zenon_H2e6 zenon_H2e5 zenon_H9c zenon_H9b zenon_H9a zenon_Hb3 zenon_Hb5 zenon_H29 zenon_H2b zenon_H25 zenon_H267. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_L679_); trivial. % 0.87/1.04 (* end of lemma zenon_L680_ *) % 0.87/1.04 assert (zenon_L681_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd5 zenon_H26c zenon_Hd7 zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H1dd zenon_Hb3 zenon_Hb5 zenon_H29 zenon_H2b zenon_H25 zenon_H267 zenon_H22b zenon_H4b zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H2db zenon_H229 zenon_H14f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L675_); trivial. % 0.87/1.04 apply (zenon_L680_); trivial. % 0.87/1.04 (* end of lemma zenon_L681_ *) % 0.87/1.04 assert (zenon_L682_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hdd zenon_H8a zenon_H83 zenon_H54 zenon_H56 zenon_H29 zenon_H2b zenon_H14f zenon_H229 zenon_H2db zenon_Hf0 zenon_Hf3 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4b zenon_H22b zenon_H267 zenon_H25 zenon_H172 zenon_Hb5 zenon_Hb3 zenon_H1dd zenon_H1d9 zenon_H1db zenon_H8c zenon_Hd7 zenon_H26c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.04 apply (zenon_L674_); trivial. % 0.87/1.04 apply (zenon_L681_); trivial. % 0.87/1.04 (* end of lemma zenon_L682_ *) % 0.87/1.04 assert (zenon_L683_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp5)\/(hskp2))) -> (~(hskp2)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((hskp12)\/(hskp11))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H195 zenon_H14f zenon_H14b zenon_H7f zenon_H1b zenon_H146 zenon_H54 zenon_Hb3 zenon_H148 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4b zenon_H22b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L666_); trivial. % 0.87/1.04 apply (zenon_L100_); trivial. % 0.87/1.04 (* end of lemma zenon_L683_ *) % 0.87/1.04 assert (zenon_L684_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(c1_1 (a582))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H182 zenon_H10 zenon_H13b zenon_H62 zenon_Hf9 zenon_Hfa. % 0.87/1.04 generalize (zenon_H182 (a582)). zenon_intro zenon_H2f4. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H2f4); [ zenon_intro zenon_Hf | zenon_intro zenon_H2f5 ]. % 0.87/1.04 exact (zenon_Hf zenon_H10). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H13f | zenon_intro zenon_H2f6 ]. % 0.87/1.04 exact (zenon_H13b zenon_H13f). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hff ]. % 0.87/1.04 apply (zenon_L75_); trivial. % 0.87/1.04 exact (zenon_Hff zenon_Hfa). % 0.87/1.04 (* end of lemma zenon_L684_ *) % 0.87/1.04 assert (zenon_L685_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (~(c1_1 (a582))) -> (~(hskp14)) -> (~(hskp10)) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H18f zenon_Hfa zenon_Hf9 zenon_H62 zenon_H13b zenon_H4d zenon_Hf0 zenon_H174 zenon_H176 zenon_Hf3 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H182 | zenon_intro zenon_H190 ]. % 0.87/1.04 apply (zenon_L684_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H103 | zenon_intro zenon_H168 ]. % 0.87/1.04 apply (zenon_L127_); trivial. % 0.87/1.04 apply (zenon_L665_); trivial. % 0.87/1.04 (* end of lemma zenon_L685_ *) % 0.87/1.04 assert (zenon_L686_ : ((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp19)) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(hskp2)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H89 zenon_H82 zenon_H29 zenon_H54 zenon_H56 zenon_H259 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H2e5 zenon_H2e6 zenon_H2db zenon_H7f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H2d | zenon_intro zenon_H87 ]. % 0.87/1.04 apply (zenon_L31_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6c | zenon_intro zenon_H80 ]. % 0.87/1.04 apply (zenon_L668_); trivial. % 0.87/1.04 exact (zenon_H7f zenon_H80). % 0.87/1.04 (* end of lemma zenon_L686_ *) % 0.87/1.04 assert (zenon_L687_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp6)) -> (~(hskp3)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (c3_1 (a584)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp31)) -> (ndr1_0) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp2)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H82 zenon_H29 zenon_H54 zenon_H30 zenon_H2e zenon_H38 zenon_H56 zenon_H49 zenon_H10 zenon_H2e5 zenon_H2e6 zenon_H9a zenon_H9b zenon_H9c zenon_H1dd zenon_H7f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H2d | zenon_intro zenon_H87 ]. % 0.87/1.04 apply (zenon_L31_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6c | zenon_intro zenon_H80 ]. % 0.87/1.04 apply (zenon_L676_); trivial. % 0.87/1.04 exact (zenon_H7f zenon_H80). % 0.87/1.04 (* end of lemma zenon_L687_ *) % 0.87/1.04 assert (zenon_L688_ : ((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (c3_1 (a584)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H8f zenon_H8c zenon_H83 zenon_H56 zenon_H29 zenon_H54 zenon_H38 zenon_H2e zenon_H30 zenon_H1dd zenon_H2e6 zenon_H2e5 zenon_H9c zenon_H9b zenon_H9a zenon_H7f zenon_H82. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L687_); trivial. % 0.87/1.04 apply (zenon_L44_); trivial. % 0.87/1.04 (* end of lemma zenon_L688_ *) % 0.87/1.04 assert (zenon_L689_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((hskp31)\/((hskp20)\/(hskp22))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd5 zenon_Hd7 zenon_Hb3 zenon_Hb5 zenon_H8a zenon_H8c zenon_H83 zenon_H54 zenon_H56 zenon_H98 zenon_H25 zenon_H29 zenon_H2b zenon_H82 zenon_H7f zenon_H2e5 zenon_H2e6 zenon_H1dd zenon_H95. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.04 apply (zenon_L45_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.04 apply (zenon_L17_); trivial. % 0.87/1.04 apply (zenon_L688_); trivial. % 0.87/1.04 apply (zenon_L679_); trivial. % 0.87/1.04 (* end of lemma zenon_L689_ *) % 0.87/1.04 assert (zenon_L690_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a564))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H195 zenon_H18f zenon_H176 zenon_H174 zenon_H183 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H182 | zenon_intro zenon_H190 ]. % 0.87/1.04 apply (zenon_L119_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H103 | zenon_intro zenon_H168 ]. % 0.87/1.04 apply (zenon_L82_); trivial. % 0.87/1.04 apply (zenon_L665_); trivial. % 0.87/1.04 (* end of lemma zenon_L690_ *) % 0.87/1.04 assert (zenon_L691_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H26c zenon_H267 zenon_H14f zenon_H95 zenon_H82 zenon_H7f zenon_H2db zenon_H2b zenon_H29 zenon_H98 zenon_H18f zenon_Hf0 zenon_Hf3 zenon_H56 zenon_H54 zenon_H83 zenon_H8c zenon_H8a zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H172 zenon_Hb5 zenon_Hb3 zenon_H1dd zenon_H1d9 zenon_H1db zenon_Hd7 zenon_Hdd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.04 apply (zenon_L17_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L42_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H58 | zenon_intro zenon_H88 ]. % 0.87/1.04 apply (zenon_L32_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H62 | zenon_intro zenon_H72 ]. % 0.87/1.04 apply (zenon_L685_); trivial. % 0.87/1.04 apply (zenon_L36_); trivial. % 0.87/1.04 apply (zenon_L686_); trivial. % 0.87/1.04 apply (zenon_L672_); trivial. % 0.87/1.04 apply (zenon_L673_); trivial. % 0.87/1.04 apply (zenon_L689_); trivial. % 0.87/1.04 apply (zenon_L690_); trivial. % 0.87/1.04 (* end of lemma zenon_L691_ *) % 0.87/1.04 assert (zenon_L692_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14f zenon_H229 zenon_H4b zenon_H259 zenon_H2db zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H62 | zenon_intro zenon_H22a ]. % 0.87/1.04 apply (zenon_L153_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H6c | zenon_intro zenon_H4c ]. % 0.87/1.04 apply (zenon_L668_); trivial. % 0.87/1.04 exact (zenon_H4b zenon_H4c). % 0.87/1.04 (* end of lemma zenon_L692_ *) % 0.87/1.04 assert (zenon_L693_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp3)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (~(hskp31)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1dd zenon_H54 zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H146 zenon_H2e6 zenon_H2e5 zenon_H10 zenon_H6c zenon_H49. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.04 apply (zenon_L153_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.04 apply (zenon_L667_); trivial. % 0.87/1.04 exact (zenon_H49 zenon_H4a). % 0.87/1.04 (* end of lemma zenon_L693_ *) % 0.87/1.04 assert (zenon_L694_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> (~(hskp31)) -> (ndr1_0) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp11)) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hb5 zenon_Hac zenon_Hab zenon_Haa zenon_H49 zenon_H10 zenon_H2e5 zenon_H2e6 zenon_H146 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54 zenon_H1dd zenon_Hb3. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hb6 ]. % 0.87/1.04 apply (zenon_L52_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb4 ]. % 0.87/1.04 apply (zenon_L693_); trivial. % 0.87/1.04 exact (zenon_Hb3 zenon_Hb4). % 0.87/1.04 (* end of lemma zenon_L694_ *) % 0.87/1.04 assert (zenon_L695_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1db zenon_H1d9 zenon_H1dd zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_Hb3 zenon_Hb5 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4b zenon_H22b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L666_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L694_); trivial. % 0.87/1.04 apply (zenon_L596_); trivial. % 0.87/1.04 (* end of lemma zenon_L695_ *) % 0.87/1.04 assert (zenon_L696_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((hskp13)\/((hskp24)\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hdd zenon_H8a zenon_H83 zenon_H56 zenon_H29 zenon_H2b zenon_H14f zenon_H229 zenon_H4b zenon_H2db zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H172 zenon_H267 zenon_H25 zenon_H22b zenon_Hb5 zenon_Hb3 zenon_H1dd zenon_H1d9 zenon_H1db zenon_H8c zenon_Hd7 zenon_H26c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L692_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_L695_); trivial. % 0.87/1.04 apply (zenon_L681_); trivial. % 0.87/1.04 (* end of lemma zenon_L696_ *) % 0.87/1.04 assert (zenon_L697_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H18f zenon_H183 zenon_H176 zenon_H174 zenon_He6 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H182 | zenon_intro zenon_H190 ]. % 0.87/1.04 apply (zenon_L119_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H103 | zenon_intro zenon_H168 ]. % 0.87/1.04 apply (zenon_L116_); trivial. % 0.87/1.04 apply (zenon_L665_); trivial. % 0.87/1.04 (* end of lemma zenon_L697_ *) % 0.87/1.04 assert (zenon_L698_ : ((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a580)) -> (~(c3_1 (a580))) -> (~(c0_1 (a580))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H81 zenon_H1d9 zenon_Hac zenon_Hab zenon_Haa zenon_H18f zenon_H183 zenon_H176 zenon_H174 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H1da ]. % 0.87/1.04 apply (zenon_L52_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H126 | zenon_intro zenon_He6 ]. % 0.87/1.04 apply (zenon_L102_); trivial. % 0.87/1.04 apply (zenon_L697_); trivial. % 0.87/1.04 (* end of lemma zenon_L698_ *) % 0.87/1.04 assert (zenon_L699_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1d9 zenon_H183 zenon_H174 zenon_H176 zenon_H18f zenon_H1dd zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_Hb3 zenon_Hb5 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L694_); trivial. % 0.87/1.04 apply (zenon_L698_); trivial. % 0.87/1.04 (* end of lemma zenon_L699_ *) % 0.87/1.04 assert (zenon_L700_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((hskp13)\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((hskp31)\/((hskp20)\/(hskp22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/((hskp3)\/(hskp6))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(forall X28 : zenon_U, ((ndr1_0)->((~(c1_1 X28))\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H26c zenon_H267 zenon_H14f zenon_H95 zenon_H82 zenon_H7f zenon_H2db zenon_H2b zenon_H29 zenon_H98 zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H56 zenon_H83 zenon_H8c zenon_H8a zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H172 zenon_Hb5 zenon_Hb3 zenon_H1dd zenon_H18f zenon_H1d9 zenon_Hd7 zenon_Hdd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.04 apply (zenon_L591_); trivial. % 0.87/1.04 apply (zenon_L686_); trivial. % 0.87/1.04 apply (zenon_L699_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_L699_); trivial. % 0.87/1.04 apply (zenon_L689_); trivial. % 0.87/1.04 apply (zenon_L690_); trivial. % 0.87/1.04 (* end of lemma zenon_L700_ *) % 0.87/1.04 assert (zenon_L701_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (~(c1_1 (a582))) -> (c3_1 (a565)) -> (c0_1 (a565)) -> (~(c2_1 (a565))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H18f zenon_Hfa zenon_Hf9 zenon_H62 zenon_H13b zenon_H106 zenon_H105 zenon_H104 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H182 | zenon_intro zenon_H190 ]. % 0.87/1.04 apply (zenon_L684_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H103 | zenon_intro zenon_H168 ]. % 0.87/1.04 apply (zenon_L82_); trivial. % 0.87/1.04 apply (zenon_L665_); trivial. % 0.87/1.04 (* end of lemma zenon_L701_ *) % 0.87/1.04 assert (zenon_L702_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a544))) -> (c0_1 (a544)) -> (c1_1 (a544)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c0_1 X53))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c0_1 X56))\/(~(c1_1 X56))))))\/(hskp12))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H195 zenon_H14f zenon_H1db zenon_H18f zenon_H146 zenon_H54 zenon_H214 zenon_H20a zenon_H20b zenon_H221 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4b zenon_H22b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L666_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.04 apply (zenon_L232_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.04 apply (zenon_L233_); trivial. % 0.87/1.04 apply (zenon_L701_); trivial. % 0.87/1.04 (* end of lemma zenon_L702_ *) % 0.87/1.04 assert (zenon_L703_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14a zenon_H8c zenon_Haa zenon_Hab zenon_Hac zenon_H1d9 zenon_H1dd zenon_H9c zenon_H9b zenon_H9a zenon_H201 zenon_H202 zenon_H203 zenon_H1db. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L548_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.04 apply (zenon_L174_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_L43_); trivial. % 0.87/1.04 (* end of lemma zenon_L703_ *) % 0.87/1.04 assert (zenon_L704_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1d9 zenon_H1dd zenon_H9c zenon_H9b zenon_H9a zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4b zenon_H22b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L666_); trivial. % 0.87/1.04 apply (zenon_L703_); trivial. % 0.87/1.04 (* end of lemma zenon_L704_ *) % 0.87/1.04 assert (zenon_L705_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd5 zenon_H26c zenon_Hd7 zenon_H8c zenon_H1d9 zenon_H1dd zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H25 zenon_H267 zenon_H22b zenon_H4b zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H2db zenon_H229 zenon_H14f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L675_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_L704_); trivial. % 0.87/1.04 (* end of lemma zenon_L705_ *) % 0.87/1.04 assert (zenon_L706_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H18f zenon_H174 zenon_H176 zenon_H183 zenon_H2d8 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H182 | zenon_intro zenon_H190 ]. % 0.87/1.04 apply (zenon_L119_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H103 | zenon_intro zenon_H168 ]. % 0.87/1.04 apply (zenon_L606_); trivial. % 0.87/1.04 apply (zenon_L665_); trivial. % 0.87/1.04 (* end of lemma zenon_L706_ *) % 0.87/1.04 assert (zenon_L707_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(hskp1)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H259 zenon_H18f zenon_H174 zenon_H176 zenon_H183 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2db zenon_H187. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H140 | zenon_intro zenon_H2dc ]. % 0.87/1.04 apply (zenon_L667_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H25a ]. % 0.87/1.04 apply (zenon_L706_); trivial. % 0.87/1.04 exact (zenon_H259 zenon_H25a). % 0.87/1.04 exact (zenon_H187 zenon_H188). % 0.87/1.04 (* end of lemma zenon_L707_ *) % 0.87/1.04 assert (zenon_L708_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c3_1 (a536))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H8c zenon_H1d9 zenon_H183 zenon_H174 zenon_H176 zenon_H2e4 zenon_H18f zenon_H1dd zenon_H2e6 zenon_H2e5 zenon_H9c zenon_H9b zenon_H9a zenon_Hb3 zenon_Hb5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L677_); trivial. % 0.87/1.04 apply (zenon_L698_); trivial. % 0.87/1.04 (* end of lemma zenon_L708_ *) % 0.87/1.04 assert (zenon_L709_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c3_1 (a536))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd5 zenon_H26c zenon_Hd7 zenon_H8c zenon_H1d9 zenon_H1dd zenon_Hb3 zenon_Hb5 zenon_H25 zenon_H267 zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H183 zenon_H174 zenon_H176 zenon_H2e4 zenon_H18f zenon_H2e6 zenon_H2e5 zenon_H187 zenon_H213. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L707_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_L708_); trivial. % 0.87/1.04 (* end of lemma zenon_L709_ *) % 0.87/1.04 assert (zenon_L710_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z)))))) -> (c3_1 (a553)) -> (c1_1 (a553)) -> (~(c2_1 (a553))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H146 zenon_H2e6 zenon_H2e5 zenon_H6c zenon_H19a zenon_H199 zenon_H198 zenon_H10 zenon_H54. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H147 ]. % 0.87/1.04 apply (zenon_L667_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H51 | zenon_intro zenon_H55 ]. % 0.87/1.04 apply (zenon_L141_); trivial. % 0.87/1.04 exact (zenon_H54 zenon_H55). % 0.87/1.04 (* end of lemma zenon_L710_ *) % 0.87/1.04 assert (zenon_L711_ : ((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp3)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp1)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1be zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H54 zenon_H2e5 zenon_H2e6 zenon_H146 zenon_H187. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.87/1.04 apply (zenon_L710_); trivial. % 0.87/1.04 exact (zenon_H187 zenon_H188). % 0.87/1.04 (* end of lemma zenon_L711_ *) % 0.87/1.04 assert (zenon_L712_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp31)) -> (ndr1_0) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (~(c1_1 (a582))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(hskp1)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H49 zenon_H10 zenon_H2e5 zenon_H2e6 zenon_H146 zenon_Hfa zenon_Hf9 zenon_H13b zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54 zenon_H1dd zenon_H187. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.87/1.04 apply (zenon_L693_); trivial. % 0.87/1.04 exact (zenon_H187 zenon_H188). % 0.87/1.04 (* end of lemma zenon_L712_ *) % 0.87/1.04 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c3_1 (a536))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b1 zenon_H194 zenon_H26c zenon_Hd7 zenon_H14f zenon_H8c zenon_H1d9 zenon_H1dd zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_H172 zenon_H267 zenon_H201 zenon_H202 zenon_H203 zenon_H2db zenon_H2e4 zenon_H18f zenon_H2e6 zenon_H2e5 zenon_H187 zenon_H213 zenon_Hb5 zenon_Hb3 zenon_Hdd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L707_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L712_); trivial. % 0.87/1.04 apply (zenon_L698_); trivial. % 0.87/1.04 apply (zenon_L709_); trivial. % 0.87/1.04 apply (zenon_L690_); trivial. % 0.87/1.04 (* end of lemma zenon_L713_ *) % 0.87/1.04 assert (zenon_L714_ : ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (c0_1 (a539)) -> (~(c3_1 (a539))) -> (~(c2_1 (a539))) -> (ndr1_0) -> False). % 0.87/1.04 do 0 intro. intros zenon_H295 zenon_H176 zenon_H174 zenon_H103 zenon_H28e zenon_H28d zenon_H28c zenon_H10. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H218 | zenon_intro zenon_He6 ]. % 0.87/1.04 apply (zenon_L432_); trivial. % 0.87/1.04 apply (zenon_L116_); trivial. % 0.87/1.04 (* end of lemma zenon_L714_ *) % 0.87/1.04 assert (zenon_L715_ : ((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(c2_1 (a539))) -> (~(c3_1 (a539))) -> (c0_1 (a539)) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1b1 zenon_H18f zenon_H28c zenon_H28d zenon_H28e zenon_H295 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H182 | zenon_intro zenon_H190 ]. % 0.87/1.04 apply (zenon_L119_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H103 | zenon_intro zenon_H168 ]. % 0.87/1.04 apply (zenon_L714_); trivial. % 0.87/1.04 apply (zenon_L665_); trivial. % 0.87/1.04 (* end of lemma zenon_L715_ *) % 0.87/1.04 assert (zenon_L716_ : ((ndr1_0)/\((c0_1 (a539))/\((~(c2_1 (a539)))/\(~(c3_1 (a539)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> ((forall X78 : zenon_U, ((ndr1_0)->((c2_1 X78)\/((c3_1 X78)\/(~(c0_1 X78))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H2e1 zenon_H1b4 zenon_H18f zenon_H22b zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H295 zenon_H1db zenon_H14f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H10. zenon_intro zenon_H2e2. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H28e. zenon_intro zenon_H2e3. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H28c. zenon_intro zenon_H28d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L666_); trivial. % 0.87/1.04 apply (zenon_L440_); trivial. % 0.87/1.04 apply (zenon_L715_); trivial. % 0.87/1.04 (* end of lemma zenon_L716_ *) % 0.87/1.04 assert (zenon_L717_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(hskp22)) -> (ndr1_0) -> (~(c2_1 (a570))) -> (~(c3_1 (a570))) -> (c1_1 (a570)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (~(hskp1)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H213 zenon_H203 zenon_H202 zenon_H201 zenon_H3 zenon_H10 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H2e5 zenon_H2e6 zenon_H2c2 zenon_H187. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H43 | zenon_intro zenon_H216 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H6c | zenon_intro zenon_H188 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H140 | zenon_intro zenon_H2c3 ]. % 0.87/1.04 apply (zenon_L667_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H223 | zenon_intro zenon_H4 ]. % 0.87/1.04 apply (zenon_L483_); trivial. % 0.87/1.04 exact (zenon_H3 zenon_H4). % 0.87/1.04 exact (zenon_H187 zenon_H188). % 0.87/1.04 (* end of lemma zenon_L717_ *) % 0.87/1.04 assert (zenon_L718_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H2bb zenon_H95 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_Hb3 zenon_He4 zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H2e6 zenon_H2e5 zenon_H187 zenon_H213. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.04 apply (zenon_L717_); trivial. % 0.87/1.04 apply (zenon_L487_); trivial. % 0.87/1.04 (* end of lemma zenon_L718_ *) % 0.87/1.04 assert (zenon_L719_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a590))/\((~(c0_1 (a590)))/\(~(c2_1 (a590))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H2bb zenon_H26c zenon_H95 zenon_H8a zenon_H275 zenon_H1db zenon_H1dd zenon_H22d zenon_H8c zenon_H201 zenon_H202 zenon_H203 zenon_H2c2 zenon_H187 zenon_H213 zenon_H22b zenon_H4b zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H9a zenon_H9b zenon_H9c zenon_H2db zenon_H229 zenon_H14f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L675_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L666_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.04 apply (zenon_L717_); trivial. % 0.87/1.04 apply (zenon_L551_); trivial. % 0.87/1.04 (* end of lemma zenon_L719_ *) % 0.87/1.04 assert (zenon_L720_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(hskp14)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H2bb zenon_H2c0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H174 zenon_H176 zenon_H183 zenon_H18f zenon_H4d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H223 | zenon_intro zenon_H2c1 ]. % 0.87/1.04 apply (zenon_L483_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_He6 | zenon_intro zenon_H4e ]. % 0.87/1.04 apply (zenon_L697_); trivial. % 0.87/1.04 exact (zenon_H4d zenon_H4e). % 0.87/1.04 (* end of lemma zenon_L720_ *) % 0.87/1.04 assert (zenon_L721_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a564))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (ndr1_0) -> (~(c1_1 (a538))) -> (~(c2_1 (a538))) -> (~(c3_1 (a538))) -> (~(hskp3)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c1_1 X51)\/((c2_1 X51)\/(c3_1 X51)))))\/((hskp3)\/(hskp16))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H2bf zenon_H2c0 zenon_H4d zenon_H183 zenon_H174 zenon_H176 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H18f zenon_H10 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H54 zenon_H2a6. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.04 apply (zenon_L482_); trivial. % 0.87/1.04 apply (zenon_L720_); trivial. % 0.87/1.04 (* end of lemma zenon_L721_ *) % 0.87/1.04 assert (zenon_L722_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(c2_1 (a565))) -> (c0_1 (a565)) -> (c3_1 (a565)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14a zenon_H1df zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H18f zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H104 zenon_H105 zenon_H106. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.04 apply (zenon_L701_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.04 apply (zenon_L569_); trivial. % 0.87/1.04 apply (zenon_L82_); trivial. % 0.87/1.04 (* end of lemma zenon_L722_ *) % 0.87/1.04 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H195 zenon_Hdd zenon_H172 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H18f zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1df zenon_H14f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_L722_); trivial. % 0.87/1.04 apply (zenon_L581_); trivial. % 0.87/1.04 (* end of lemma zenon_L723_ *) % 0.87/1.04 assert (zenon_L724_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(hskp10)) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14f zenon_H1df zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_Hf3 zenon_Hf0 zenon_H176 zenon_H174 zenon_H18f zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.04 apply (zenon_L685_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.04 apply (zenon_L569_); trivial. % 0.87/1.04 apply (zenon_L127_); trivial. % 0.87/1.04 (* end of lemma zenon_L724_ *) % 0.87/1.04 assert (zenon_L725_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H14f zenon_Hd1 zenon_Hb5 zenon_Hb3 zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1dd zenon_H1d9 zenon_H1db zenon_H8c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_L598_); trivial. % 0.87/1.04 (* end of lemma zenon_L725_ *) % 0.87/1.04 assert (zenon_L726_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_Hd1 zenon_Hb5 zenon_Hb3 zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1dd zenon_H1d9 zenon_H1db zenon_H8c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172 zenon_H25 zenon_H267. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_L725_); trivial. % 0.87/1.04 (* end of lemma zenon_L726_ *) % 0.87/1.04 assert (zenon_L727_ : ((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hf2 zenon_H8c zenon_H1d9 zenon_Haa zenon_Hab zenon_Hac zenon_H1dd zenon_H2e6 zenon_H2e5 zenon_H9c zenon_H9b zenon_H9a zenon_Hb3 zenon_Hb5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf4. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_He7. zenon_intro zenon_Hf5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_He8. zenon_intro zenon_He9. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L677_); trivial. % 0.87/1.04 apply (zenon_L578_); trivial. % 0.87/1.04 (* end of lemma zenon_L727_ *) % 0.87/1.04 assert (zenon_L728_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> (~(hskp21)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hf7 zenon_H8c zenon_H1d9 zenon_Haa zenon_Hab zenon_Hac zenon_H1dd zenon_H2e6 zenon_H2e5 zenon_H9c zenon_H9b zenon_H9a zenon_Hb3 zenon_Hb5 zenon_H10 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1 zenon_H1cf. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He2 | zenon_intro zenon_Hf2 ]. % 0.87/1.04 apply (zenon_L570_); trivial. % 0.87/1.04 apply (zenon_L727_); trivial. % 0.87/1.04 (* end of lemma zenon_L728_ *) % 0.87/1.04 assert (zenon_L729_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_Hd1 zenon_H2dd zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H1db zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_Hb5 zenon_Hb3 zenon_H9a zenon_H9b zenon_H9c zenon_H2e5 zenon_H2e6 zenon_H1dd zenon_H1d9 zenon_H8c zenon_Hf7 zenon_H25 zenon_H267. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L728_); trivial. % 0.87/1.04 apply (zenon_L616_); trivial. % 0.87/1.04 (* end of lemma zenon_L729_ *) % 0.87/1.04 assert (zenon_L730_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp31)) -> (~(c1_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (c3_1 (a582)) -> (c2_1 (a582)) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp14)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1db zenon_H49 zenon_H2c4 zenon_H2c6 zenon_H1dd zenon_H203 zenon_H202 zenon_H201 zenon_Hf3 zenon_Hfa zenon_Hf9 zenon_H10 zenon_Hf0 zenon_H4d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.04 apply (zenon_L573_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_L77_); trivial. % 0.87/1.04 (* end of lemma zenon_L730_ *) % 0.87/1.04 assert (zenon_L731_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a537)) -> (~(c1_1 (a537))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14a zenon_H8c zenon_Haa zenon_Hab zenon_Hac zenon_H1d9 zenon_H1dd zenon_H2c6 zenon_H2c4 zenon_Hf0 zenon_H4d zenon_Hf3 zenon_H201 zenon_H202 zenon_H203 zenon_H1db. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.04 apply (zenon_L730_); trivial. % 0.87/1.04 apply (zenon_L659_); trivial. % 0.87/1.04 (* end of lemma zenon_L731_ *) % 0.87/1.04 assert (zenon_L732_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a537)) -> (~(c1_1 (a537))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp10)\/(hskp14))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H14f zenon_H8c zenon_H1d9 zenon_H1dd zenon_H2c6 zenon_H2c4 zenon_Hf0 zenon_Hf3 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_L731_); trivial. % 0.87/1.04 (* end of lemma zenon_L732_ *) % 0.87/1.04 assert (zenon_L733_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hda zenon_H14f zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_Hb5 zenon_Hb3 zenon_H9a zenon_H9b zenon_H9c zenon_H2e5 zenon_H2e6 zenon_H1dd zenon_H1d9 zenon_H8c zenon_Hf7. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L728_); trivial. % 0.87/1.04 apply (zenon_L703_); trivial. % 0.87/1.04 (* end of lemma zenon_L733_ *) % 0.87/1.04 assert (zenon_L734_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_Hb5 zenon_Hb3 zenon_H9a zenon_H9b zenon_H9c zenon_H2e5 zenon_H2e6 zenon_H1dd zenon_H1d9 zenon_H8c zenon_Hf7 zenon_H25 zenon_H267. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.04 apply (zenon_L355_); trivial. % 0.87/1.04 apply (zenon_L733_); trivial. % 0.87/1.04 (* end of lemma zenon_L734_ *) % 0.87/1.04 assert (zenon_L735_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd5 zenon_H26c zenon_Hd7 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H1cf zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_Hb5 zenon_Hb3 zenon_H1dd zenon_H1d9 zenon_H8c zenon_Hf7 zenon_H25 zenon_H267 zenon_H22b zenon_H4b zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H2db zenon_H229 zenon_H14f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L675_); trivial. % 0.87/1.04 apply (zenon_L734_); trivial. % 0.87/1.04 (* end of lemma zenon_L735_ *) % 0.87/1.04 assert (zenon_L736_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a566)) -> (c2_1 (a566)) -> (~(c0_1 (a566))) -> (~(c3_1 (a537))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a537))) -> (c0_1 (a564)) -> (c3_1 (a564)) -> (~(c1_1 (a564))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1df zenon_H9c zenon_H9b zenon_H9a zenon_H2c5 zenon_H2db zenon_H2c6 zenon_H1d5 zenon_H2c4 zenon_H174 zenon_H176 zenon_H183 zenon_H10 zenon_H259. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H62 | zenon_intro zenon_H1e0 ]. % 0.87/1.04 apply (zenon_L43_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H103 ]. % 0.87/1.04 apply (zenon_L569_); trivial. % 0.87/1.04 apply (zenon_L610_); trivial. % 0.87/1.04 (* end of lemma zenon_L736_ *) % 0.87/1.04 assert (zenon_L737_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp19)) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c3_1 (a537))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (ndr1_0) -> (~(c0_1 (a566))) -> (c2_1 (a566)) -> (c3_1 (a566)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1db zenon_H259 zenon_H183 zenon_H176 zenon_H174 zenon_H2c4 zenon_H2c6 zenon_H2db zenon_H2c5 zenon_H1df zenon_H203 zenon_H202 zenon_H201 zenon_H10 zenon_H9a zenon_H9b zenon_H9c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.04 apply (zenon_L736_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_L43_); trivial. % 0.87/1.04 (* end of lemma zenon_L737_ *) % 0.87/1.04 assert (zenon_L738_ : ((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hd5 zenon_H26c zenon_Hd7 zenon_H14f zenon_H1cf zenon_Hb5 zenon_Hb3 zenon_H2e5 zenon_H2e6 zenon_H1dd zenon_H1d9 zenon_H8c zenon_Hf7 zenon_H25 zenon_H267 zenon_H1df zenon_H183 zenon_H176 zenon_H174 zenon_H2db zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H201 zenon_H202 zenon_H203 zenon_H1db. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.04 apply (zenon_L737_); trivial. % 0.87/1.04 apply (zenon_L734_); trivial. % 0.87/1.04 (* end of lemma zenon_L738_ *) % 0.87/1.04 assert (zenon_L739_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14f zenon_H1db zenon_H198 zenon_H199 zenon_H19a zenon_H54 zenon_H146 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.04 apply (zenon_L670_); trivial. % 0.87/1.04 apply (zenon_L286_); trivial. % 0.87/1.04 (* end of lemma zenon_L739_ *) % 0.87/1.04 assert (zenon_L740_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13))) -> (~(hskp3)) -> (~(c2_1 (a553))) -> (c1_1 (a553)) -> (c3_1 (a553)) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp13)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H269 zenon_H2dd zenon_H54 zenon_H198 zenon_H199 zenon_H19a zenon_H2e5 zenon_H2e6 zenon_H146 zenon_H25. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H25d | zenon_intro zenon_H2de ]. % 0.87/1.05 apply (zenon_L354_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H6c | zenon_intro zenon_H26 ]. % 0.87/1.05 apply (zenon_L710_); trivial. % 0.87/1.05 exact (zenon_H25 zenon_H26). % 0.87/1.05 (* end of lemma zenon_L740_ *) % 0.87/1.05 assert (zenon_L741_ : ((ndr1_0)/\((c1_1 (a553))/\((c3_1 (a553))/\(~(c2_1 (a553)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a564))/\((c3_1 (a564))/\(~(c1_1 (a564))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a565))/\((c3_1 (a565))/\(~(c2_1 (a565))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((~(c0_1 X))\/(~(c3_1 X))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a566))/\((c3_1 (a566))/\(~(c0_1 (a566))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1be zenon_H1b4 zenon_H194 zenon_H18f zenon_H203 zenon_H202 zenon_H201 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H2db zenon_H1df zenon_H2dd zenon_H26c zenon_H14f zenon_H1db zenon_H54 zenon_H146 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H172 zenon_H229 zenon_Hdd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L739_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H62 | zenon_intro zenon_H22a ]. % 0.87/1.05 apply (zenon_L43_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H6c | zenon_intro zenon_H4c ]. % 0.87/1.05 apply (zenon_L710_); trivial. % 0.87/1.05 exact (zenon_H4b zenon_H4c). % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L739_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L737_); trivial. % 0.87/1.05 apply (zenon_L740_); trivial. % 0.87/1.05 apply (zenon_L690_); trivial. % 0.87/1.05 (* end of lemma zenon_L741_ *) % 0.87/1.05 assert (zenon_L742_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> (~(c0_1 (a580))) -> (~(c3_1 (a580))) -> (c1_1 (a580)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> (c2_1 (a537)) -> (~(c3_1 (a537))) -> (~(c1_1 (a537))) -> (ndr1_0) -> (~(c1_1 (a582))) -> (c2_1 (a582)) -> (c3_1 (a582)) -> (~(c0_1 (a551))) -> (c3_1 (a551)) -> (c1_1 (a551)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp28)) -> (~(hskp2)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H8c zenon_H1db zenon_H203 zenon_H202 zenon_H201 zenon_Haa zenon_Hab zenon_Hac zenon_H1d9 zenon_H1dd zenon_H2c6 zenon_H2c5 zenon_H2c4 zenon_H10 zenon_H13b zenon_Hf9 zenon_Hfa zenon_H1a1 zenon_H1a3 zenon_H1a2 zenon_H54 zenon_H146 zenon_Hc1 zenon_H7f zenon_Hc3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.05 apply (zenon_L593_); trivial. % 0.87/1.05 apply (zenon_L659_); trivial. % 0.87/1.05 (* end of lemma zenon_L742_ *) % 0.87/1.05 assert (zenon_L743_ : ((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(c2_1 (a541)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(c1_1 (a537))) -> (~(c3_1 (a537))) -> (c2_1 (a537)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp14)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H269 zenon_Hd7 zenon_H14f zenon_Hd1 zenon_H2dd zenon_Hc3 zenon_H7f zenon_H146 zenon_H54 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H2c4 zenon_H2c5 zenon_H2c6 zenon_H1dd zenon_H1d9 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H8c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4d zenon_H172 zenon_H25 zenon_H267. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_L355_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L670_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.05 apply (zenon_L742_); trivial. % 0.87/1.05 apply (zenon_L615_); trivial. % 0.87/1.05 (* end of lemma zenon_L743_ *) % 0.87/1.05 assert (zenon_L744_ : ((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp19)) -> (~(c1_1 (a564))) -> (c3_1 (a564)) -> (c0_1 (a564)) -> (~(c1_1 (a537))) -> (c2_1 (a537)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> (~(c3_1 (a537))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))))) -> (c3_1 (a546)) -> (~(c1_1 (a546))) -> (~(c0_1 (a546))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X72 : zenon_U, ((ndr1_0)->((c2_1 X72)\/((~(c1_1 X72))\/(~(c3_1 X72))))))\/(hskp3))) -> (c1_1 (a551)) -> (c3_1 (a551)) -> (~(c0_1 (a551))) -> (~(hskp3)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H14a zenon_H1db zenon_H259 zenon_H183 zenon_H176 zenon_H174 zenon_H2c4 zenon_H2c6 zenon_H2db zenon_H2c5 zenon_H1df zenon_H203 zenon_H202 zenon_H201 zenon_H146 zenon_H1a2 zenon_H1a3 zenon_H1a1 zenon_H54. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.05 apply (zenon_L611_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.05 apply (zenon_L217_); trivial. % 0.87/1.05 apply (zenon_L153_); trivial. % 0.87/1.05 (* end of lemma zenon_L744_ *) % 0.87/1.05 assert (zenon_L745_ : ((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> (c1_1 (a570)) -> (~(c3_1 (a570))) -> (~(c2_1 (a570))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> (~(c3_1 (a536))) -> (c0_1 (a536)) -> (c2_1 (a536)) -> (~(hskp12)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hda zenon_H14f zenon_H95 zenon_Hf7 zenon_H2c0 zenon_H4d zenon_He4 zenon_Hb5 zenon_Hb3 zenon_H2c2 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1dd zenon_H1d9 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H8c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H4b zenon_H22b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L666_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hb6 ]. % 0.87/1.05 apply (zenon_L52_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb4 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H62 | zenon_intro zenon_H1de ]. % 0.87/1.05 apply (zenon_L514_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H140 | zenon_intro zenon_H4a ]. % 0.87/1.05 apply (zenon_L667_); trivial. % 0.87/1.05 exact (zenon_H49 zenon_H4a). % 0.87/1.05 exact (zenon_Hb3 zenon_Hb4). % 0.87/1.05 apply (zenon_L659_); trivial. % 0.87/1.05 apply (zenon_L487_); trivial. % 0.87/1.05 (* end of lemma zenon_L745_ *) % 0.87/1.05 assert (zenon_L746_ : ((ndr1_0)/\((c1_1 (a570))/\((~(c2_1 (a570)))/\(~(c3_1 (a570)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a576))/\((~(c1_1 (a576)))/\(~(c3_1 (a576))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a580))/\((~(c0_1 (a580)))/\(~(c3_1 (a580))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c3_1 X31)\/(~(c1_1 X31))))))\/((forall X19 : zenon_U, ((ndr1_0)->((~(c0_1 X19))\/((~(c1_1 X19))\/(~(c3_1 X19))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a546))) -> (~(c1_1 (a546))) -> (c3_1 (a546)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a563))/\((c1_1 (a563))/\(c3_1 (a563)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp12)\/(hskp21))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c0_1 X4))))))\/((hskp13)\/(hskp20))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c0_1 X77))\/(~(c2_1 X77))))))\/((hskp14)\/(hskp21))) -> (~(hskp14)) -> (c2_1 (a536)) -> (c0_1 (a536)) -> (~(c3_1 (a536))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((forall Z : zenon_U, ((ndr1_0)->((~(c0_1 Z))\/((~(c1_1 Z))\/(~(c2_1 Z))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c2_1 X68)\/((c3_1 X68)\/(~(c1_1 X68))))))\/((forall X35 : zenon_U, ((ndr1_0)->((~(c0_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a552))/\((c2_1 (a552))/\(c3_1 (a552)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a582))/\((c3_1 (a582))/\(~(c1_1 (a582))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H2bb zenon_H26c zenon_Hd7 zenon_Hb5 zenon_H1dd zenon_H1d9 zenon_H201 zenon_H202 zenon_H203 zenon_H1db zenon_H8c zenon_H22b zenon_H25 zenon_H267 zenon_H172 zenon_H4d zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H229 zenon_H4b zenon_H2db zenon_H2c2 zenon_He4 zenon_Hb3 zenon_H2c0 zenon_Hf7 zenon_H95 zenon_H14f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L670_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H62 | zenon_intro zenon_H22a ]. % 0.87/1.05 apply (zenon_L514_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H6c | zenon_intro zenon_H4c ]. % 0.87/1.05 apply (zenon_L668_); trivial. % 0.87/1.05 exact (zenon_H4b zenon_H4c). % 0.87/1.05 apply (zenon_L487_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_L355_); trivial. % 0.87/1.05 apply (zenon_L745_); trivial. % 0.87/1.05 (* end of lemma zenon_L746_ *) % 0.87/1.05 apply NNPP. intro zenon_G. % 0.87/1.05 apply zenon_G. zenon_intro zenon_H2f7. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H297. zenon_intro zenon_H300. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H29a. zenon_intro zenon_H301. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H298. zenon_intro zenon_H302. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H299. zenon_intro zenon_H303. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H305. zenon_intro zenon_H304. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H296. zenon_intro zenon_H306. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H308. zenon_intro zenon_H307. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H1c1. zenon_intro zenon_H309. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H1b4. zenon_intro zenon_H30a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H194. zenon_intro zenon_H30b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_Hdd. zenon_intro zenon_H30c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H160. zenon_intro zenon_H30d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2bf. zenon_intro zenon_H30e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H161. zenon_intro zenon_H30f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hd6. zenon_intro zenon_H310. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H26c. zenon_intro zenon_H311. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_Hd7. zenon_intro zenon_H312. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H14f. zenon_intro zenon_H313. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H95. zenon_intro zenon_H314. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H138. zenon_intro zenon_H315. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H8a. zenon_intro zenon_H316. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1fe. zenon_intro zenon_H317. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H24. zenon_intro zenon_H318. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H249. zenon_intro zenon_H319. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_Hd1. zenon_intro zenon_H31a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_Hf7. zenon_intro zenon_H31b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H8b. zenon_intro zenon_H31c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H8c. zenon_intro zenon_H31d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H47. zenon_intro zenon_H31e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H189. zenon_intro zenon_H31f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H82. zenon_intro zenon_H320. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H281. zenon_intro zenon_H321. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H277. zenon_intro zenon_H322. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H15e. zenon_intro zenon_H323. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_Hc3. zenon_intro zenon_H324. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H1db. zenon_intro zenon_H325. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H213. zenon_intro zenon_H326. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H14b. zenon_intro zenon_H327. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H329. zenon_intro zenon_H328. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H134. zenon_intro zenon_H32a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H32c. zenon_intro zenon_H32b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32e. zenon_intro zenon_H32d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H275. zenon_intro zenon_H32f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H83. zenon_intro zenon_H330. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H332. zenon_intro zenon_H331. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_He4. zenon_intro zenon_H333. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_Hb5. zenon_intro zenon_H334. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H1d9. zenon_intro zenon_H335. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H18d. zenon_intro zenon_H336. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H180. zenon_intro zenon_H337. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H139. zenon_intro zenon_H33a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H41. zenon_intro zenon_H33b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H1df. zenon_intro zenon_H33c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H1dd. zenon_intro zenon_H33d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H229. zenon_intro zenon_H33e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H340. zenon_intro zenon_H33f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H342. zenon_intro zenon_H341. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H2a6. zenon_intro zenon_H343. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H131. zenon_intro zenon_H344. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H221. zenon_intro zenon_H345. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H15c. zenon_intro zenon_H346. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H148. zenon_intro zenon_H347. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H25b. zenon_intro zenon_H348. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H2dd. zenon_intro zenon_H349. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H267. zenon_intro zenon_H34a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H1cf. zenon_intro zenon_H34b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H2db. zenon_intro zenon_H34c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H2c2. zenon_intro zenon_H34d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H24a. zenon_intro zenon_H34e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H146. zenon_intro zenon_H34f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H351. zenon_intro zenon_H350. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H18f. zenon_intro zenon_H352. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H295. zenon_intro zenon_H353. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H215. zenon_intro zenon_H354. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H22d. zenon_intro zenon_H355. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H2c0. zenon_intro zenon_H356. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H2bc. zenon_intro zenon_H357. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H227. zenon_intro zenon_H358. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H10f. zenon_intro zenon_H359. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H56. zenon_intro zenon_H35a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H22b. zenon_intro zenon_H35b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35d. zenon_intro zenon_H35c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H172. zenon_intro zenon_H360. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H362. zenon_intro zenon_H361. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H363. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H1f6. zenon_intro zenon_H364. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H366. zenon_intro zenon_H365. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H23b. zenon_intro zenon_H367. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H369. zenon_intro zenon_H368. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_Hf3. zenon_intro zenon_H36a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H36c. zenon_intro zenon_H36b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H36e. zenon_intro zenon_H36d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H4f. zenon_intro zenon_H36f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H371. zenon_intro zenon_H370. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H98. zenon_intro zenon_H372. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H374. zenon_intro zenon_H373. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H376. zenon_intro zenon_H375. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H378. zenon_intro zenon_H377. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H2b. zenon_intro zenon_H379. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37b. zenon_intro zenon_H37a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1e3. zenon_intro zenon_H37c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_Ha5. zenon_intro zenon_H37d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_Hd. zenon_intro zenon_H37e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H380. zenon_intro zenon_H37f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H381. zenon_intro zenon_H7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H3d | zenon_intro zenon_H382 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H187 | zenon_intro zenon_H383 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H7f | zenon_intro zenon_H384 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H1d | zenon_intro zenon_H29b ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H29c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L67_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_L112_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_L140_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_L142_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_L158_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H10. zenon_intro zenon_H24d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H1b5. zenon_intro zenon_H24e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.87/1.05 apply (zenon_L163_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L192_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L194_); trivial. % 0.87/1.05 apply (zenon_L197_); trivial. % 0.87/1.05 apply (zenon_L201_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L216_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H10. zenon_intro zenon_H24d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H1b5. zenon_intro zenon_H24e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L192_); trivial. % 0.87/1.05 apply (zenon_L161_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L216_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_L218_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H10. zenon_intro zenon_H2a0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H20a. zenon_intro zenon_H2a1. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H20b. zenon_intro zenon_H214. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L228_); trivial. % 0.87/1.05 apply (zenon_L197_); trivial. % 0.87/1.05 apply (zenon_L235_); trivial. % 0.87/1.05 apply (zenon_L236_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L239_); trivial. % 0.87/1.05 apply (zenon_L157_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H10. zenon_intro zenon_H24d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H1b5. zenon_intro zenon_H24e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L228_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L247_); trivial. % 0.87/1.05 apply (zenon_L50_); trivial. % 0.87/1.05 apply (zenon_L184_); trivial. % 0.87/1.05 apply (zenon_L248_); trivial. % 0.87/1.05 apply (zenon_L235_); trivial. % 0.87/1.05 apply (zenon_L161_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L239_); trivial. % 0.87/1.05 apply (zenon_L161_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L255_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L194_); trivial. % 0.87/1.05 apply (zenon_L254_); trivial. % 0.87/1.05 apply (zenon_L201_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L257_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H10. zenon_intro zenon_H24d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H1b5. zenon_intro zenon_H24e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L255_); trivial. % 0.87/1.05 apply (zenon_L161_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L257_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L268_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L129_); trivial. % 0.87/1.05 apply (zenon_L269_); trivial. % 0.87/1.05 apply (zenon_L126_); trivial. % 0.87/1.05 apply (zenon_L274_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L268_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L275_); trivial. % 0.87/1.05 apply (zenon_L279_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L138_); trivial. % 0.87/1.05 apply (zenon_L264_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L109_); trivial. % 0.87/1.05 apply (zenon_L264_); trivial. % 0.87/1.05 apply (zenon_L111_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L222_); trivial. % 0.87/1.05 apply (zenon_L283_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_L299_); trivial. % 0.87/1.05 apply (zenon_L267_); trivial. % 0.87/1.05 apply (zenon_L301_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L118_); trivial. % 0.87/1.05 apply (zenon_L283_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L302_); trivial. % 0.87/1.05 apply (zenon_L306_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_L308_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_L313_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L314_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_L315_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L300_); trivial. % 0.87/1.05 apply (zenon_L315_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1fa ]. % 0.87/1.05 apply (zenon_L276_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H10. zenon_intro zenon_H1fb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1e7. zenon_intro zenon_H1fc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1e5. zenon_intro zenon_H1e6. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.05 apply (zenon_L7_); trivial. % 0.87/1.05 apply (zenon_L213_); trivial. % 0.87/1.05 apply (zenon_L316_); trivial. % 0.87/1.05 apply (zenon_L237_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_L267_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L317_); trivial. % 0.87/1.05 apply (zenon_L318_); trivial. % 0.87/1.05 apply (zenon_L274_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L118_); trivial. % 0.87/1.05 apply (zenon_L316_); trivial. % 0.87/1.05 apply (zenon_L237_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L302_); trivial. % 0.87/1.05 apply (zenon_L316_); trivial. % 0.87/1.05 apply (zenon_L237_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_L320_); trivial. % 0.87/1.05 apply (zenon_L267_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L314_); trivial. % 0.87/1.05 apply (zenon_L237_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_L319_); trivial. % 0.87/1.05 apply (zenon_L111_); trivial. % 0.87/1.05 apply (zenon_L322_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L330_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L323_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L105_); trivial. % 0.87/1.05 apply (zenon_L306_); trivial. % 0.87/1.05 apply (zenon_L237_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L327_); trivial. % 0.87/1.05 apply (zenon_L333_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_L334_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_L335_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L251_); trivial. % 0.87/1.05 apply (zenon_L259_); trivial. % 0.87/1.05 apply (zenon_L267_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_L338_); trivial. % 0.87/1.05 apply (zenon_L274_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L348_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L344_); trivial. % 0.87/1.05 apply (zenon_L200_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L250_); trivial. % 0.87/1.05 apply (zenon_L297_); trivial. % 0.87/1.05 apply (zenon_L337_); trivial. % 0.87/1.05 apply (zenon_L313_); trivial. % 0.87/1.05 apply (zenon_L301_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L348_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L193_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L198_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_L349_); trivial. % 0.87/1.05 apply (zenon_L111_); trivial. % 0.87/1.05 apply (zenon_L200_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L350_); trivial. % 0.87/1.05 apply (zenon_L237_); trivial. % 0.87/1.05 apply (zenon_L266_); trivial. % 0.87/1.05 apply (zenon_L322_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H2a2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H252. zenon_intro zenon_H2a3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H29c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L358_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L363_); trivial. % 0.87/1.05 apply (zenon_L369_); trivial. % 0.87/1.05 apply (zenon_L372_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L375_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L358_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L363_); trivial. % 0.87/1.05 apply (zenon_L379_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L363_); trivial. % 0.87/1.05 apply (zenon_L381_); trivial. % 0.87/1.05 apply (zenon_L383_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L390_); trivial. % 0.87/1.05 apply (zenon_L375_); trivial. % 0.87/1.05 apply (zenon_L391_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H10. zenon_intro zenon_H2a0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H20a. zenon_intro zenon_H2a1. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H20b. zenon_intro zenon_H214. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L396_); trivial. % 0.87/1.05 apply (zenon_L372_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L390_); trivial. % 0.87/1.05 apply (zenon_L375_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L396_); trivial. % 0.87/1.05 apply (zenon_L383_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L390_); trivial. % 0.87/1.05 apply (zenon_L375_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_L399_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L404_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L406_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L409_); trivial. % 0.87/1.05 apply (zenon_L369_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L353_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_L355_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L261_); trivial. % 0.87/1.05 apply (zenon_L411_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L412_); trivial. % 0.87/1.05 apply (zenon_L369_); trivial. % 0.87/1.05 apply (zenon_L371_); trivial. % 0.87/1.05 apply (zenon_L419_); trivial. % 0.87/1.05 apply (zenon_L335_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L398_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L358_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L198_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H155. zenon_intro zenon_H167. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_L342_); trivial. % 0.87/1.05 apply (zenon_L380_); trivial. % 0.87/1.05 apply (zenon_L382_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L421_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L193_); trivial. % 0.87/1.05 apply (zenon_L422_); trivial. % 0.87/1.05 apply (zenon_L423_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_L422_); trivial. % 0.87/1.05 apply (zenon_L382_); trivial. % 0.87/1.05 apply (zenon_L431_); trivial. % 0.87/1.05 apply (zenon_L375_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H10. zenon_intro zenon_H2e2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H28e. zenon_intro zenon_H2e3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H28c. zenon_intro zenon_H28d. % 0.87/1.05 apply (zenon_L480_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H10. zenon_intro zenon_H385. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H2a9. zenon_intro zenon_H386. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H2a8. zenon_intro zenon_H2a7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H1d | zenon_intro zenon_H29b ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H29c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_L485_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_L489_); trivial. % 0.87/1.05 apply (zenon_L492_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L13_); trivial. % 0.87/1.05 apply (zenon_L493_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_L492_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L118_); trivial. % 0.87/1.05 apply (zenon_L496_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_L500_); trivial. % 0.87/1.05 apply (zenon_L492_); trivial. % 0.87/1.05 apply (zenon_L512_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L513_); trivial. % 0.87/1.05 apply (zenon_L516_); trivial. % 0.87/1.05 apply (zenon_L492_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L513_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_L492_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H10. zenon_intro zenon_H2a0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H20a. zenon_intro zenon_H2a1. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H20b. zenon_intro zenon_H214. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_L485_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L519_); trivial. % 0.87/1.05 apply (zenon_L525_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L519_); trivial. % 0.87/1.05 apply (zenon_L529_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L534_); trivial. % 0.87/1.05 apply (zenon_L535_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L531_); trivial. % 0.87/1.05 apply (zenon_L500_); trivial. % 0.87/1.05 apply (zenon_L492_); trivial. % 0.87/1.05 apply (zenon_L537_); trivial. % 0.87/1.05 apply (zenon_L512_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_L538_); trivial. % 0.87/1.05 apply (zenon_L492_); trivial. % 0.87/1.05 apply (zenon_L525_); trivial. % 0.87/1.05 apply (zenon_L542_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L534_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L91_); trivial. % 0.87/1.05 apply (zenon_L493_); trivial. % 0.87/1.05 apply (zenon_L269_); trivial. % 0.87/1.05 apply (zenon_L545_); trivial. % 0.87/1.05 apply (zenon_L492_); trivial. % 0.87/1.05 apply (zenon_L542_); trivial. % 0.87/1.05 apply (zenon_L547_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H2a2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H252. zenon_intro zenon_H2a3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H250. zenon_intro zenon_H251. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_L485_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hb | zenon_intro zenon_H29d ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L358_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L353_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L361_); trivial. % 0.87/1.05 apply (zenon_L522_); trivial. % 0.87/1.05 apply (zenon_L369_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L353_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L361_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L521_); trivial. % 0.87/1.05 apply (zenon_L551_); trivial. % 0.87/1.05 apply (zenon_L369_); trivial. % 0.87/1.05 apply (zenon_L372_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_L404_); trivial. % 0.87/1.05 apply (zenon_L559_); trivial. % 0.87/1.05 apply (zenon_L419_); trivial. % 0.87/1.05 apply (zenon_L335_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H10. zenon_intro zenon_H29e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1c4. zenon_intro zenon_H29f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1d1. zenon_intro zenon_H1c2. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H18b | zenon_intro zenon_H24c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L358_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L353_); trivial. % 0.87/1.05 apply (zenon_L563_); trivial. % 0.87/1.05 apply (zenon_L368_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L353_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L361_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L515_); trivial. % 0.87/1.05 apply (zenon_L551_); trivial. % 0.87/1.05 apply (zenon_L381_); trivial. % 0.87/1.05 apply (zenon_L565_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H199. zenon_intro zenon_H1c0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H19a. zenon_intro zenon_H198. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H10. zenon_intro zenon_H2bd. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b4. zenon_intro zenon_H2be. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2b2. zenon_intro zenon_H2b3. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hd2 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L353_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L561_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 apply (zenon_L380_); trivial. % 0.87/1.05 apply (zenon_L558_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_L566_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H10d | zenon_intro zenon_H162 ]. % 0.87/1.05 apply (zenon_L84_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H11d. zenon_intro zenon_H164. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H11e. zenon_intro zenon_H11c. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H12f | zenon_intro zenon_H165 ]. % 0.87/1.05 apply (zenon_L402_); trivial. % 0.87/1.05 apply (zenon_L381_); trivial. % 0.87/1.05 apply (zenon_L568_); trivial. % 0.87/1.05 apply (zenon_L375_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H10. zenon_intro zenon_H2e2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H28e. zenon_intro zenon_H2e3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H28c. zenon_intro zenon_H28d. % 0.87/1.05 apply (zenon_L480_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H10. zenon_intro zenon_H387. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H2c6. zenon_intro zenon_H388. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H2c4. zenon_intro zenon_H2c5. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H7f | zenon_intro zenon_H384 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L571_); trivial. % 0.87/1.05 apply (zenon_L170_); trivial. % 0.87/1.05 apply (zenon_L574_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H89 ]. % 0.87/1.05 apply (zenon_L45_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H10. zenon_intro zenon_H8d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H38. zenon_intro zenon_H8e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H2e. zenon_intro zenon_H30. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.05 apply (zenon_L17_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.05 apply (zenon_L577_); trivial. % 0.87/1.05 apply (zenon_L44_); trivial. % 0.87/1.05 apply (zenon_L62_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.05 apply (zenon_L579_); trivial. % 0.87/1.05 apply (zenon_L580_); trivial. % 0.87/1.05 apply (zenon_L184_); trivial. % 0.87/1.05 apply (zenon_L582_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.05 apply (zenon_L17_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.05 apply (zenon_L585_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H10. zenon_intro zenon_H84. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc4 ]. % 0.87/1.05 apply (zenon_L586_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H80 ]. % 0.87/1.05 exact (zenon_Hc1 zenon_Hc2). % 0.87/1.05 exact (zenon_H7f zenon_H80). % 0.87/1.05 apply (zenon_L587_); trivial. % 0.87/1.05 apply (zenon_L588_); trivial. % 0.87/1.05 apply (zenon_L594_); trivial. % 0.87/1.05 apply (zenon_L599_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H27 | zenon_intro zenon_H8f ]. % 0.87/1.05 apply (zenon_L17_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H90. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H5b. zenon_intro zenon_H91. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.05 apply (zenon_L585_); trivial. % 0.87/1.05 apply (zenon_L44_); trivial. % 0.87/1.05 apply (zenon_L600_); trivial. % 0.87/1.05 apply (zenon_L605_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hce ]. % 0.87/1.05 apply (zenon_L609_); trivial. % 0.87/1.05 apply (zenon_L587_); trivial. % 0.87/1.05 apply (zenon_L588_); trivial. % 0.87/1.05 apply (zenon_L613_); trivial. % 0.87/1.05 apply (zenon_L617_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L622_); trivial. % 0.87/1.05 apply (zenon_L617_); trivial. % 0.87/1.05 apply (zenon_L605_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L623_); trivial. % 0.87/1.05 apply (zenon_L626_); trivial. % 0.87/1.05 apply (zenon_L582_); trivial. % 0.87/1.05 apply (zenon_L632_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L639_); trivial. % 0.87/1.05 apply (zenon_L641_); trivial. % 0.87/1.05 apply (zenon_L645_); trivial. % 0.87/1.05 apply (zenon_L626_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L603_); trivial. % 0.87/1.05 apply (zenon_L641_); trivial. % 0.87/1.05 apply (zenon_L647_); trivial. % 0.87/1.05 apply (zenon_L581_); trivial. % 0.87/1.05 apply (zenon_L649_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H10. zenon_intro zenon_H385. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H2a9. zenon_intro zenon_H386. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H2a8. zenon_intro zenon_H2a7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_L485_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L653_); trivial. % 0.87/1.05 apply (zenon_L655_); trivial. % 0.87/1.05 apply (zenon_L658_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_L662_); trivial. % 0.87/1.05 apply (zenon_L655_); trivial. % 0.87/1.05 apply (zenon_L664_); trivial. % 0.87/1.05 apply (zenon_L658_); trivial. % 0.87/1.05 apply (zenon_L649_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H10. zenon_intro zenon_H389. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H2e5. zenon_intro zenon_H38a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H2e6. zenon_intro zenon_H2e4. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H187 | zenon_intro zenon_H383 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H7f | zenon_intro zenon_H384 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H29c ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L682_); trivial. % 0.87/1.05 apply (zenon_L683_); trivial. % 0.87/1.05 apply (zenon_L691_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L696_); trivial. % 0.87/1.05 apply (zenon_L683_); trivial. % 0.87/1.05 apply (zenon_L700_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_L391_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H10. zenon_intro zenon_H2a0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H20a. zenon_intro zenon_H2a1. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H20b. zenon_intro zenon_H214. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L682_); trivial. % 0.87/1.05 apply (zenon_L702_); trivial. % 0.87/1.05 apply (zenon_L691_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L696_); trivial. % 0.87/1.05 apply (zenon_L702_); trivial. % 0.87/1.05 apply (zenon_L700_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L674_); trivial. % 0.87/1.05 apply (zenon_L705_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L670_); trivial. % 0.87/1.05 apply (zenon_L269_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L666_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dc ]. % 0.87/1.05 apply (zenon_L232_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.87/1.05 apply (zenon_L217_); trivial. % 0.87/1.05 apply (zenon_L43_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L707_); trivial. % 0.87/1.05 apply (zenon_L673_); trivial. % 0.87/1.05 apply (zenon_L709_); trivial. % 0.87/1.05 apply (zenon_L690_); trivial. % 0.87/1.05 apply (zenon_L711_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L692_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_L355_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L670_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H10. zenon_intro zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf9. zenon_intro zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hfa. zenon_intro zenon_H13b. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H49 | zenon_intro zenon_H81 ]. % 0.87/1.05 apply (zenon_L712_); trivial. % 0.87/1.05 apply (zenon_L178_); trivial. % 0.87/1.05 apply (zenon_L705_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H105. zenon_intro zenon_H197. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H106. zenon_intro zenon_H104. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L666_); trivial. % 0.87/1.05 apply (zenon_L318_); trivial. % 0.87/1.05 apply (zenon_L713_); trivial. % 0.87/1.05 apply (zenon_L711_); trivial. % 0.87/1.05 apply (zenon_L716_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H10. zenon_intro zenon_H385. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H2a9. zenon_intro zenon_H386. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H2a8. zenon_intro zenon_H2a7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_L485_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_L718_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_L719_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L721_); trivial. % 0.87/1.05 apply (zenon_L709_); trivial. % 0.87/1.05 apply (zenon_L690_); trivial. % 0.87/1.05 apply (zenon_L711_); trivial. % 0.87/1.05 apply (zenon_L716_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H10. zenon_intro zenon_H387. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H2c6. zenon_intro zenon_H388. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H2c4. zenon_intro zenon_H2c5. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H7f | zenon_intro zenon_H384 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_L682_); trivial. % 0.87/1.05 apply (zenon_L723_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L724_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_L621_); trivial. % 0.87/1.05 apply (zenon_L679_); trivial. % 0.87/1.05 apply (zenon_L680_); trivial. % 0.87/1.05 apply (zenon_L690_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L692_); trivial. % 0.87/1.05 apply (zenon_L726_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L675_); trivial. % 0.87/1.05 apply (zenon_L729_); trivial. % 0.87/1.05 apply (zenon_L723_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L670_); trivial. % 0.87/1.05 apply (zenon_L613_); trivial. % 0.87/1.05 apply (zenon_L726_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd8. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H9b. zenon_intro zenon_Hd9. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_L621_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H10. zenon_intro zenon_Hdb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hac. zenon_intro zenon_Hdc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L728_); trivial. % 0.87/1.05 apply (zenon_L598_); trivial. % 0.87/1.05 apply (zenon_L729_); trivial. % 0.87/1.05 apply (zenon_L723_); trivial. % 0.87/1.05 apply (zenon_L162_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1fd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L669_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H10. zenon_intro zenon_H26a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H26b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H96 | zenon_intro zenon_Hda ]. % 0.87/1.05 apply (zenon_L355_); trivial. % 0.87/1.05 apply (zenon_L732_); trivial. % 0.87/1.05 apply (zenon_L735_); trivial. % 0.87/1.05 apply (zenon_L723_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L724_); trivial. % 0.87/1.05 apply (zenon_L738_); trivial. % 0.87/1.05 apply (zenon_L690_); trivial. % 0.87/1.05 apply (zenon_L741_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H10. zenon_intro zenon_H1ff. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1a2. zenon_intro zenon_H200. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1a3. zenon_intro zenon_H1a1. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_L692_); trivial. % 0.87/1.05 apply (zenon_L743_); trivial. % 0.87/1.05 apply (zenon_L735_); trivial. % 0.87/1.05 apply (zenon_L723_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H259 | zenon_intro zenon_H269 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H1 | zenon_intro zenon_H14a ]. % 0.87/1.05 apply (zenon_L670_); trivial. % 0.87/1.05 apply (zenon_L744_); trivial. % 0.87/1.05 apply (zenon_L743_); trivial. % 0.87/1.05 apply (zenon_L738_); trivial. % 0.87/1.05 apply (zenon_L723_); trivial. % 0.87/1.05 apply (zenon_L741_); trivial. % 0.87/1.05 apply (zenon_L649_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H10. zenon_intro zenon_H385. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H2a9. zenon_intro zenon_H386. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H2a8. zenon_intro zenon_H2a7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29 | zenon_intro zenon_H286 ]. % 0.87/1.05 apply (zenon_L485_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H10. zenon_intro zenon_H287. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H203. zenon_intro zenon_H288. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H201. zenon_intro zenon_H202. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1be ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H4b | zenon_intro zenon_H1b1 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2bb ]. % 0.87/1.05 apply (zenon_L482_); trivial. % 0.87/1.05 apply (zenon_L746_); trivial. % 0.87/1.05 apply (zenon_L735_); trivial. % 0.87/1.05 apply (zenon_L723_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b1). zenon_intro zenon_H10. zenon_intro zenon_H1b2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H174. zenon_intro zenon_H1b3. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_H176. zenon_intro zenon_H183. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H25 | zenon_intro zenon_H195 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H4d | zenon_intro zenon_Hd5 ]. % 0.87/1.05 apply (zenon_L721_); trivial. % 0.87/1.05 apply (zenon_L738_); trivial. % 0.87/1.05 apply (zenon_L690_); trivial. % 0.87/1.05 apply (zenon_L741_); trivial. % 0.87/1.05 apply (zenon_L649_); trivial. % 0.87/1.05 Qed. % 0.87/1.05 % SZS output end Proof % 0.87/1.05 (* END-PROOF *) % 0.87/1.05 nodes searched: 32190 % 0.87/1.05 max branch formulas: 466 % 0.87/1.05 proof nodes created: 4539 % 0.87/1.05 formulas created: 35276 % 0.87/1.05 %------------------------------------------------------------------------------